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ENADE_2014_engenharia_eletrica

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Ministério
da Educação
17Novembro/2014
Engenharia
Elétrica
LEIA COM ATENÇÃO AS INSTRUÇÕES ABAIXO.
ϭ͘��sĞƌŝĮƋƵĞ� ƐĞ͕� ĂůĠŵ� ĚĞƐƚĞ� ĐĂĚĞƌŶŽ͕� ǀŽĐġ� ƌĞĐĞďĞƵ� Ž� �ĂĚĞƌŶŽ� ĚĞ� ZĞƐƉŽƐƚĂƐ͕� ĚĞƐƟŶĂĚŽ� ă� ƚƌĂŶƐĐƌŝĕĆŽ� ĚĂƐ�
ƌĞƐƉŽƐƚĂƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĞ� ŵƷůƟƉůĂ� ĞƐĐŽůŚĂ� ;ŽďũĞƟǀĂƐͿ͕� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚŝƐĐƵƌƐŝǀĂƐ� Ğ� ĚŽ� ƋƵĞƐƟŽŶĄƌŝŽ� ĚĞ�
ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘
Ϯ͘��ŽŶĮƌĂ�ƐĞ�ĞƐƚĞ�ĐĂĚĞƌŶŽ�ĐŽŶƚĠŵ�ĂƐ�ƋƵĞƐƚƁĞƐ�ĚŝƐĐƵƌƐŝǀĂƐ�Ğ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�;ŽďũĞƟǀĂƐͿ͕�ĚĞ�ĨŽƌŵĂĕĆŽ�
ŐĞƌĂů�Ğ�ĚŽ�ĐŽŵƉŽŶĞŶƚĞ�ĞƐƉĞĐşĮĐŽ�ĚĂ�ĄƌĞĂ͕�Ğ�ĂƐ�ƌĞůĂƟǀĂƐ�ă�ƐƵĂ�ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘��Ɛ�ƋƵĞƐƚƁĞƐ�ĞƐƚĆŽ�
ĂƐƐŝŵ�ĚŝƐƚƌŝďƵşĚĂƐ͗
Partes
Número das 
questões
Peso das 
questões no 
componente
Peso dos 
componentes no 
cálculo da nota
&ŽƌŵĂĕĆŽ�'ĞƌĂůͬ�ŝƐĐƵƌƐŝǀĂƐ �ϭ�Ğ��Ϯ 40%
25%
&ŽƌŵĂĕĆŽ�'ĞƌĂůͬKďũĞƟǀĂƐ ϭ�Ă�ϴ 60%
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽͬ�ŝƐĐƵƌƐŝǀĂƐ �ϯ�Ă��ϱ 15%
75%�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽͬKďũĞƟǀĂƐ
EƷĐůĞŽ�ĚĞ��ŽŶƚĞƷĚŽƐ��ĄƐŝĐŽƐ
EƷĐůĞŽ�ĚĞ��ŽŶƚĞƷĚŽƐ�WƌŽĮƐƐŝŽŶĂůŝnjĂŶƚĞƐ
ϵ�Ă�ϭϴ
ϭϵ�Ă�ϯϱ
ϴϱй
YƵĞƐƟŽŶĄƌŝŽ�ĚĞ�WĞƌĐĞƉĕĆŽ�ĚĂ�WƌŽǀĂ� ϭ�Ă�ϵ - -
ϯ͘��sĞƌŝĮƋƵĞ�ƐĞ�Ă�ƉƌŽǀĂ�ĞƐƚĄ�ĐŽŵƉůĞƚĂ�Ğ�ƐĞ�Ž�ƐĞƵ�ŶŽŵĞ�ĞƐƚĄ�ĐŽƌƌĞƚŽ�ŶŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘��ĂƐŽ�ĐŽŶƚƌĄƌŝŽ͕�
ĂǀŝƐĞ�ŝŵĞĚŝĂƚĂŵĞŶƚĞ�Ƶŵ�ĚŽƐ�ƌĞƐƉŽŶƐĄǀĞŝƐ�ƉĞůĂ�ĂƉůŝĐĂĕĆŽ�ĚĂ�ƉƌŽǀĂ͘�sŽĐġ�ĚĞǀĞ�ĂƐƐŝŶĂƌ�Ž��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ�
ŶŽ�ĞƐƉĂĕŽ�ƉƌſƉƌŝŽ͕�ĐŽŵ�ĐĂŶĞƚĂ�ĞƐĨĞƌŽŐƌĄĮĐĂ�ĚĞ�ƟŶƚĂ�ƉƌĞƚĂ͘
ϰ͘��KďƐĞƌǀĞ�ĂƐ�ŝŶƐƚƌƵĕƁĞƐ�ƐŽďƌĞ�Ă�ŵĂƌĐĂĕĆŽ�ĚĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�;ĂƉĞŶĂƐ�ƵŵĂ�ƌĞƐƉŽƐƚĂ�
ƉŽƌ�ƋƵĞƐƚĆŽͿ͕�ĞdžƉƌĞƐƐĂƐ�ŶŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
ϱ͘��hƐĞ�ĐĂŶĞƚĂ�ĞƐĨĞƌŽŐƌĄĮĐĂ�ĚĞ�ƟŶƚĂ�ƉƌĞƚĂ͕�ƚĂŶƚŽ�ƉĂƌĂ�ŵĂƌĐĂƌ�ĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ŽďũĞƟǀĂƐ�ƋƵĂŶƚŽ�ƉĂƌĂ�
ĞƐĐƌĞǀĞƌ�ĂƐ�ƌĞƐƉŽƐƚĂƐ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĚŝƐĐƵƌƐŝǀĂƐ͘
ϲ͘�ZĞƐƉŽŶĚĂ� ĐĂĚĂ� ƋƵĞƐƚĆŽ� ĚŝƐĐƵƌƐŝǀĂ� Ğŵ͕� ŶŽ�ŵĄdžŝŵŽ͕� ϭϱ� ůŝŶŚĂƐ͘� YƵĂůƋƵĞƌ� ƚĞdžƚŽ� ƋƵĞ� ƵůƚƌĂƉĂƐƐĂƌ� Ž� ĞƐƉĂĕŽ�
ĚĞƐƟŶĂĚŽ�ă�ƌĞƐƉŽƐƚĂ�ƐĞƌĄ�ĚĞƐĐŽŶƐŝĚĞƌĂĚŽ͘
ϳ͘�EĆŽ�ƵƐĞ�ĐĂůĐƵůĂĚŽƌĂ͖�ŶĆŽ�ƐĞ�ĐŽŵƵŶŝƋƵĞ�ĐŽŵ�ŽƐ�ĚĞŵĂŝƐ�ĞƐƚƵĚĂŶƚĞƐ�ŶĞŵ�ƚƌŽƋƵĞ�ŵĂƚĞƌŝĂů�ĐŽŵ�ĞůĞƐ͖�
ŶĆŽ�ĐŽŶƐƵůƚĞ�ŵĂƚĞƌŝĂů�ďŝďůŝŽŐƌĄĮĐŽ͕�ĐĂĚĞƌŶŽƐ�ŽƵ�ĂŶŽƚĂĕƁĞƐ�ĚĞ�ƋƵĂůƋƵĞƌ�ĞƐƉĠĐŝĞ͘
ϴ͘�sŽĐġ�ƚĞƌĄ�ƋƵĂƚƌŽ�ŚŽƌĂƐ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�ăƐ�ƋƵĞƐƚƁĞƐ�ĚĞ�ŵƷůƟƉůĂ�ĞƐĐŽůŚĂ�Ğ�ĚŝƐĐƵƌƐŝǀĂƐ�Ğ�ĂŽ�ƋƵĞƐƟŽŶĄƌŝŽ�ĚĞ�
ƉĞƌĐĞƉĕĆŽ�ĚĂ�ƉƌŽǀĂ͘
ϵ͘�YƵĂŶĚŽ�ƚĞƌŵŝŶĂƌ͕ �ĞŶƚƌĞŐƵĞ�ĂŽ��ƉůŝĐĂĚŽƌ�ŽƵ�&ŝƐĐĂů�Ž�ƐĞƵ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
10. Atenção!�sŽĐġ�ĚĞǀĞƌĄ�ƉĞƌŵĂŶĞĐĞƌ͕ �ŶŽ�ŵşŶŝŵŽ͕�ƉŽƌ�ƵŵĂ�ŚŽƌĂ͕�ŶĂ�ƐĂůĂ�ĚĞ�ĂƉůŝĐĂĕĆŽ�ĚĂƐ�ƉƌŽǀĂƐ�Ğ�Ɛſ�ƉŽĚĞƌĄ�
ůĞǀĂƌ�ĞƐƚĞ��ĂĚĞƌŶŽ�ĚĞ�WƌŽǀĂ�ĂƉſƐ�ĚĞĐŽƌƌŝĚĂƐ�ƚƌġƐ�ŚŽƌĂƐ�ĚŽ�ŝŶşĐŝŽ�ĚŽ��džĂŵĞ͘
*R1720141*
2
�E'�E,�Z/���>�dZ/��
FORMAÇÃO GERAL
QUESTÃO DISCURSIVA 1
KƐ�ĚĞƐĂĨŝŽƐ�ĚĂ�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ�ĂƐƐŽĐŝĂŵͲƐĞ�ă�ŶĞĐĞƐƐŝĚĂĚĞ�ĚĞ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƵƌďĂŶŽ�ƐƵƐƚĞŶƚĄǀĞů͘�
��KEh�ĚĞĮŶĞ�ĞƐƐĞ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĐŽŵŽ�ĂƋƵĞůĞ�ƋƵĞ�ĂƐƐĞŐƵƌĂ�ƋƵĂůŝĚĂĚĞ�ĚĞ�ǀŝĚĂ͕�ŝŶĐůƵşĚŽƐ�ŽƐ�ĐŽŵƉŽŶĞŶƚĞƐ�
ĞĐŽůſŐŝĐŽƐ͕�ĐƵůƚƵƌĂŝƐ͕�ƉŽůşƟĐŽƐ͕�ŝŶƐƟƚƵĐŝŽŶĂŝƐ͕�ƐŽĐŝĂŝƐ�Ğ�ĞĐŽŶƀŵŝĐŽƐ�ƋƵĞ�ŶĆŽ�ĐŽŵƉƌŽŵĞƚĂŵ�Ă�ƋƵĂůŝĚĂĚĞ�ĚĞ�
ǀŝĚĂ�ĚĂƐ�ĨƵƚƵƌĂƐ�ŐĞƌĂĕƁĞƐ͘
K�ĞƐƉĂĕŽ�ƵƌďĂŶŽ�ďƌĂƐŝůĞŝƌŽ�Ġ�ŵĂƌĐĂĚŽ�ƉŽƌ�ŝŶƷŵĞƌŽƐ�ƉƌŽďůĞŵĂƐ�ĐŽƟĚŝĂŶŽƐ�Ğ�ƉŽƌ�ǀĄƌŝĂƐ�ĐŽŶƚƌĂĚŝĕƁĞƐ͘�hŵĂ�ĚĂƐ�
ŐƌĂŶĚĞƐ�ƋƵĞƐƚƁĞƐ�Ğŵ�ĚĞďĂƚĞ�Ěŝnj�ƌĞƐƉĞŝƚŽ�ă�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ͕�ƵŵĂ�ǀĞnj�ƋƵĞ�Ž�ŵŽŵĞŶƚŽ�Ġ�ĚĞ�ŵŽƚŽƌŝnjĂĕĆŽ�
ĚŽƐ�ĚĞƐůŽĐĂŵĞŶƚŽƐ�ĚĂ�ƉŽƉƵůĂĕĆŽ͕�ƉŽƌ�ŵĞŝŽ�ĚĞ�ƚƌĂŶƐƉŽƌƚĞ�ĐŽůĞƟǀŽ�Ğ�ŝŶĚŝǀŝĚƵĂů͘
�ŽŶƐŝĚĞƌĞ�ŽƐ�ĚĂĚŽƐ�ĚŽ�ƐĞŐƵŝŶƚĞ�ƋƵĂĚƌŽ͘
Mobilidade urbana em cidade com mais de 500 mil habitantes
Modalidade Tipologia Porcentagem (%)
EĆŽ�ŵŽƚŽƌŝnjĂĚŽ ��ƉĠ ϭϱ͕ϵ�ŝĐŝĐůĞƚĂ� Ϯ͕ϳ
DŽƚŽƌŝnjĂĚŽ�ĐŽůĞƟǀŽ
NŶŝďƵƐ�ŵƵŶŝĐŝƉĂů ϮϮ͕Ϯ
NŶŝďƵƐ�ŵĞƚƌŽƉŽůŝƚĂŶŽ ϰ͕ϱ
DĞƚƌŽĨĞƌƌŽǀŝĄƌŝŽ Ϯϱ͕ϭ
DŽƚŽƌŝnjĂĚŽ�ŝŶĚŝǀŝĚƵĂů �ƵƚŽŵſǀĞů Ϯϳ͕ϱDŽƚŽĐŝĐůĞƚĂ Ϯ͕ϭ
dĞŶĚŽ� Ğŵ� ǀŝƐƚĂ� Ž� ƚĞdžƚŽ� Ğ� Ž� ƋƵĂĚƌŽ� ĚĞ� ŵŽďŝůŝĚĂĚĞ� ƵƌďĂŶĂ� ĂƉƌĞƐĞŶƚĂĚŽƐ͕� ƌĞĚŝũĂ� Ƶŵ� ƚĞdžƚŽ� ĚŝƐƐĞƌƚĂƟǀŽ͕�
ĐŽŶƚĞŵƉůĂŶĚŽ�ŽƐ�ƐĞŐƵŝŶƚĞƐ�ĂƐƉĞĐƚŽƐ͗
ĂͿ� ĐŽŶƐĞƋƵġŶĐŝĂƐ͕�ƉĂƌĂ�Ž�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƐƵƐƚĞŶƚĄǀĞů͕�ĚŽ�ƵƐŽ�ŵĂŝƐ�ĨƌĞƋƵĞŶƚĞ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ�ŵŽƚŽƌŝnjĂĚŽ͖�
;ǀĂůŽƌ͗�ϱ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� ĚƵĂƐ�ĂĕƁĞƐ�ĚĞ�ŝŶƚĞƌǀĞŶĕĆŽ�ƋƵĞ�ĐŽŶƚƌŝďƵĂŵ�ƉĂƌĂ�Ă�ĐŽŶƐŽůŝĚĂĕĆŽ�ĚĞ�ƉŽůşƟĐĂ�ƉƷďůŝĐĂ�ĚĞ�ŝŶĐƌĞŵĞŶƚŽ�ĂŽ�ƵƐŽ�
ĚĞ�ďŝĐŝĐůĞƚĂ�ŶĂ�ĐŝĚĂĚĞ�ŵĞŶĐŝŽŶĂĚĂ͕�ĂƐƐĞŐƵƌĂŶĚŽͲƐĞ�Ž�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ƐƵƐƚĞŶƚĄǀĞů͘�;ǀĂůŽƌ͗�ϱ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R1720142*
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QUESTÃO DISCURSIVA 2
dƌġƐ�ũŽǀĞŶƐ�ĚĞ�ϭϵ�ĂŶŽƐ�ĚĞ�ŝĚĂĚĞ͕�ŵŽƌĂĚŽƌĞƐ�ĚĞ�ƌƵĂ͕�ĨŽƌĂŵ�ƉƌĞƐŽƐ�Ğŵ�ŇĂŐƌĂŶƚĞ͕�ŶĞƐƚĂ�ƋƵĂƌƚĂͲĨĞŝƌĂ͕�ƉŽƌ�ƚĞƌĞŵ�
ĂƚĞĂĚŽ�ĨŽŐŽ�Ğŵ�Ƶŵ�ũŽǀĞŵ�ĚĞ�ϭϳ�ĂŶŽƐ͕�ŐƵĂƌĚĂĚŽƌ�ĚĞ�ĐĂƌƌŽƐ͘�K�ŵŽƟǀŽ͕�ƐĞŐƵŶĚŽ�Ă�ϭϰ͘a��W͕ �ĨŽŝ�ƵŵĂ�͚͛ďƌŝŐĂ�ƉŽƌ�
ƉŽŶƚŽ͛͛͘ �hŵ�ŵŽƚŽƌŝƐƚĂ�ĚĞƵ�͚͛Ƶŵ�ƚƌŽĐĂĚŽ͛͛�ĂŽ�ŵĞŶŽƌ͕ �Ž�ƋƵĞ�ŝƌƌŝƚŽƵ�ŽƐ�ƚƌġƐ�ŵŽƌĂĚŽƌĞƐ�ĚĞ�ƌƵĂ͕�ƋƵĞ�ƚĂŵďĠŵ�
ŐƵĂƌĚĂǀĂŵ�ĐĂƌƌŽƐ�ŶŽ� ůŽĐĂů͘�K�ŵĞŶŽƌ�ĨŽŝ� ůĞǀĂĚŽ�ĂŽ�,ŽƐƉŝƚĂů�ĚĂƐ��ůşŶŝĐĂƐ� ;,�Ϳ�ƉŽƌ�WDƐ�ƋƵĞ�ƉĂƐƐĂǀĂŵ�ƉĞůŽ�
ůŽĐĂů͘�^ĞŐƵŶĚŽ�Ž�,�͕�ĞůĞ�ƚĞǀĞ�ƋƵĞŝŵĂĚƵƌĂƐ�ůĞǀĞƐ�ŶŽ�ŽŵďƌŽ�ĞƐƋƵĞƌĚŽ͕�ĨŽŝ�ŵĞĚŝĐĂĚŽ�Ğ͕�Ğŵ�ƐĞŐƵŝĚĂ͕�ůŝďĞƌĂĚŽ͘�
KƐ�ŝŶĚŝĐŝĂĚŽƐ�ƉŽĚĞŵ�ƉĞŐĂƌ�ĚĞ�ϭϮ�Ă�ϯϬ�ĂŶŽƐ�ĚĞ�ƉƌŝƐĆŽ͕�ƐĞ�ĮĐĂƌ�ĐŽŵƉƌŽǀĂĚŽ�ƋƵĞ�Ă�ŝŶƚĞŶĕĆŽ�ĞƌĂ�ŵĂƚĂƌ�Ž�ŵĞŶŽƌ͘ �
�ĂƐŽ�ĐŽŶƚƌĄƌŝŽ͕�ĐŽŶĨŽƌŵĞ�Ă�ϭϰ͘a��W͕ �ŽƐ�ƚƌġƐ�ƉŽĚĞƌĆŽ�ƉĞŐĂƌ�ĚĞ�Ƶŵ�Ă�ƚƌġƐ�ĂŶŽƐ�ĚĞ�ĐĂĚĞŝĂ͘
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϴ�ũƵů͘�ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚĂ�ƐŝƚƵĂĕĆŽ�ŶĂƌƌĂĚĂ͕�ĞůĂďŽƌĞ�Ƶŵ�ƚĞdžƚŽ�ĚŝƐƐĞƌƚĂƟǀŽ�ƐŽďƌĞ�ǀŝŽůġŶĐŝĂ�ƵƌďĂŶĂ͕�ĂƉƌĞƐĞŶƚĂŶĚŽ͗
ĂͿ��ĂŶĄůŝƐĞ�ĚĞ�ĚƵĂƐ�ĐĂƵƐĂƐ�ĚŽ�ƟƉŽ�ĚĞ�ǀŝŽůġŶĐŝĂ�ĚĞƐĐƌŝƚĂ�ŶŽ�ƚĞdžƚŽ͖�;ǀĂůŽƌ͗�ϳ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ��ĚŽŝƐ�ĨĂƚŽƌĞƐ�ƋƵĞ�ĐŽŶƚƌŝďƵŝƌŝĂŵ�ƉĂƌĂ�ƐĞ�ĞǀŝƚĂƌ�Ž�ĨĂƚŽ�ĚĞƐĐƌŝƚŽ�ŶĂ�ŶŽơĐŝĂ͘�;ǀĂůŽƌ͗�ϯ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R1720143*
4
�E'�E,�Z/���>�dZ/��
QUESTÃO 01
K�ƚƌĞĐŚŽ�ĚĂ�ŵƷƐŝĐĂ�͞ EŽƐ��ĂŝůĞƐ�ĚĂ�sŝĚĂ͕͟ �ĚĞ�DŝůƚŽŶ�EĂƐĐŝŵĞŶƚŽ͕�͞ ƚŽĚŽ�ĂƌƟƐƚĂ�ƚĞŵ�ĚĞ�ŝƌ�ĂŽŶĚĞ�Ž�ƉŽǀŽ�ĞƐƚĄ͕͟ �Ġ�ĂŶƟŐŽ͕�
Ğ�Ă�ŵƷƐŝĐĂ͕�ĚĞ�ƚĆŽ�ƚŽĐĂĚĂ͕�ĂĐĂďŽƵ�ƉŽƌ�ƐĞ�ƚŽƌŶĂƌ�Ƶŵ�ĞƐƚĞƌĞſƟƉŽ�ĚĞ�ƚŽĐĂĚŽƌĞƐ�ĚĞ�ǀŝŽůƁĞƐ�Ğ�ĚĞ�ƌŽĚĂƐ�ĚĞ�ĂŵŝŐŽƐ�Ğŵ�
sŝƐĐŽŶĚĞ�ĚĞ�DĂƵĄ͕�ŶŽƐ�ĂŶŽƐ�ϭϵϳϬ͘��ŵ�ƚĞŵƉŽƐ�ĚŝŐŝƚĂŝƐ͕�ƉŽƌĠŵ͕�ĞůĂ�ĮĐŽƵ�ŵĂŝƐ�ĂƚƵĂů�ĚŽ�ƋƵĞ�ŶƵŶĐĂ͘���ĨĄĐŝů�ĞŶƚĞŶĚĞƌ�
Ž�ƉŽƌƋƵġ͗�ĂŶƟŐĂŵĞŶƚĞ͕�ƋƵĂŶĚŽ�Ă�ŝŶĨŽƌŵĂĕĆŽ�ƐĞ�ĐŽŶĐĞŶƚƌĂǀĂ�Ğŵ�ĐĞŶƚƌŽƐ�ĚĞ�ĞdžƉŽƐŝĕĆŽ͕�ǀĞşĐƵůŽƐ�ĚĞ�ĐŽŵƵŶŝĐĂĕĆŽ͕�
ĞĚŝƚŽƌĂƐ͕�ŵƵƐĞƵƐ�Ğ�ŐƌĂǀĂĚŽƌĂƐ͕�ĞƌĂ�ƉƌĞĐŝƐŽ�ƉĂƐƐĂƌ�ƉŽƌ�ƵŵĂ�ƐĠƌŝĞ�ĚĞ�ĐƵƌĂĚŽƌĞƐ͕�ƉĂƌĂ�ŐĂƌĂŶƟƌ�Ă�ƉƵďůŝĐĂĕĆŽ�ĚĞ�Ƶŵ�
ĂƌƟŐŽ�ŽƵ�ůŝǀƌŽ͕�Ă�ŐƌĂǀĂĕĆŽ�ĚĞ�Ƶŵ�ĚŝƐĐŽ�ŽƵ�Ă�ƉƌŽĚƵĕĆŽ�ĚĞ�ƵŵĂ�ĞdžƉŽƐŝĕĆŽ͘�K�ŵĞƐŵŽ�ĨƵŶŝů͕�ƋƵĞ�ƉŽĚĞƌŝĂ�ƐĞƌ�ŝŶũƵƐƚŽ�Ğ�
ĚĞŝdžĂƌ�ŐƌĂŶĚĞƐ�ƚĂůĞŶƚŽƐ�ĚĞ�ĨŽƌĂ͕�ƐŝŵƉůĞƐŵĞŶƚĞ�ƉŽƌƋƵĞ�ŶĆŽ�ƟŶŚĂŵ�ĂĐĞƐƐŽ�ăƐ�ĨĞƌƌĂŵĞŶƚĂƐ͕�ăƐ�ƉĞƐƐŽĂƐ�ŽƵ�ăƐ�ĨŽŶƚĞƐ�
ĚĞ�ŝŶĨŽƌŵĂĕĆŽ͕�ƚĂŵďĠŵ�ƐĞƌǀŝĂ�ĐŽŵŽ�ĮůƚƌŽ�ĚĞ�ƋƵĂůŝĚĂĚĞ͘�dŽĐĂƌ�ǀŝŽůĆŽ�ŽƵ�ĞŶĐĞŶĂƌ�ƵŵĂ�ƉĞĕĂ�ĚĞ�ƚĞĂƚƌŽ�Ğŵ�Ƶŵ�ŐƌĂŶĚĞ�
ĂƵĚŝƚſƌŝŽ�ĐŽƐƚƵŵĂǀĂ�ƚĞƌ�Ƶŵ�ƉĞƐŽ�ŵƵŝƚŽ�ŵĂŝŽƌ�ĚŽ�ƋƵĞ� ĨĂnjġͲůŽ�Ğŵ�Ƶŵ�ďĂƌ͕ �Ƶŵ�ĐĞŶƚƌŽ�ĐƵůƚƵƌĂů�ŽƵ�ƵŵĂ�ĐĂůĕĂĚĂ͘�
EĂƐ�ƌĂƌĂƐ�ŽĐĂƐŝƁĞƐ�Ğŵ�ƋƵĞ�ĞƐƐĞ�ǀĂůŽƌ�ƐĞ�ŝŶǀĞƌƟĂ͕�ĞƌĂ�ũƵƐƚĂŵĞŶƚĞ�ƉŽƌƋƵĞ͕�ƉĂƌĂ�ƵƐŽ�ĚŽ�ĞƐƉĂĕŽ�͞ĂůƚĞƌŶĂƟǀŽ͕͟ �ŚĂǀŝĂ�
ŵĞĐĂŶŝƐŵŽƐ�ĚĞ�ƐĞůĞĕĆŽ�ƚĆŽ�ŽƵ�ŵĂŝƐ�ƌşŐŝĚŽƐ�ƋƵĞ�ŽƐ�ĚŽ�ĞƐƉĂĕŽ�ŽĮĐŝĂů͘
Z��&�,Z�Z͕�>͘�dŽĚŽ�ĂƌƟƐƚĂ�ƚĞŵ�ĚĞ�ŝƌ�ĂŽŶĚĞ�Ž�ƉŽǀŽ�ĞƐƚĄ͘�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬŶŽǀŽ͘ŝƚĂƵĐƵůƚƵƌĂů͘ŽƌŐ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϵ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂƐƐĞƌĕƁĞƐ�Ă�ƐĞŐƵŝƌ�Ğ�Ă�ƌĞůĂĕĆŽ�ƉƌŽƉŽƐƚĂ�ĞŶƚƌĞ�ĞůĂƐ͘
/͘� K�ƉƌŽĐĞƐƐŽ�ĚĞ�ĞǀŽůƵĕĆŽ�ƚĞĐŶŽůſŐŝĐĂ�ĚĂ�ĂƚƵĂůŝĚĂĚĞ�ĚĞŵŽĐƌĂƟnjĂ�Ă�ƉƌŽĚƵĕĆŽ�Ğ�Ă�ĚŝǀƵůŐĂĕĆŽ�ĚĞ�ŽďƌĂƐ�
ĂƌơƐƟĐĂƐ͕�ƌĞĚƵnjŝŶĚŽ�Ă�ŝŵƉŽƌƚąŶĐŝĂ�ƋƵĞ�ŽƐ�ĐĞŶƚƌŽƐ�ĚĞ�ĞdžƉŽƐŝĕĆŽ�ƟŶŚĂŵ�ŶŽƐ�ĂŶŽƐ�ϭϵϳϬ͘
PORQUE
//͘� �Ɛ�ŶŽǀĂƐ�ƚĞĐŶŽůŽŐŝĂƐ�ƉŽƐƐŝďŝůŝƚĂŵ�ƋƵĞ�ĂƌƟƐƚĂƐ�ƐĞũĂŵ�ŝŶĚĞƉĞŶĚĞŶƚĞƐ͕�ŵŽŶƚĞŵ�ƐĞƵƐ�ƉƌſƉƌŝŽƐ�ĂŵďŝĞŶƚĞƐ�
ĚĞ�ƉƌŽĚƵĕĆŽ�Ğ�ĚŝƐƉŽŶŝďŝůŝnjĞŵ�ƐĞƵƐ�ƚƌĂďĂůŚŽƐ͕�ĚĞ�ĨŽƌŵĂ�ƐŝŵƉůĞƐ͕�ƉĂƌĂ�Ƶŵ�ŐƌĂŶĚĞ�ŶƷŵĞƌŽ�ĚĞ�ƉĞƐƐŽĂƐ͘
��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂƐ�ĂƐƐĞƌĕƁĞƐ͕�ĂƐƐŝŶĂůĞ�Ă�ŽƉĕĆŽ�ĐŽƌƌĞƚĂ͘
A �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
B �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�ŵĂƐ�Ă�//�ŶĆŽ�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
C ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͘
D ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͘
E �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ĨĂůƐĂƐ͘
QUESTÃO 02
�Žŵ�Ă�ŐůŽďĂůŝnjĂĕĆŽ�ĚĂ�ĞĐŽŶŽŵŝĂ�ƐŽĐŝĂů�ƉŽƌ�ŵĞŝŽ�ĚĂƐ�ŽƌŐĂŶŝnjĂĕƁĞƐ�ŶĆŽ�ŐŽǀĞƌŶĂŵĞŶƚĂŝƐ͕�ƐƵƌŐŝƵ�ƵŵĂ�ĚŝƐĐƵƐƐĆŽ�
ĚŽ�ĐŽŶĐĞŝƚŽ�ĚĞ�ĞŵƉƌĞƐĂ͕�ĚĞ�ƐƵĂ�ĨŽƌŵĂ�ĚĞ�ĐŽŶĐĞƉĕĆŽ�ũƵŶƚŽ�ăƐ�ŽƌŐĂŶŝnjĂĕƁĞƐ�ďƌĂƐŝůĞŝƌĂƐ�Ğ�ĚĞ�ƐƵĂƐ�ƉƌĄƟĐĂƐ͘�
�ĂĚĂ�ǀĞnj�ŵĂŝƐ͕�Ġ�ŶĞĐĞƐƐĄƌŝŽ�ĐŽŵďŝŶĂƌ�ĂƐ�ƉŽůşƟĐĂƐ�ƉƷďůŝĐĂƐ�ƋƵĞ�ƉƌŝŽƌŝnjĂŵ�ŵŽĚĞƌŶŝĚĂĚĞ�Ğ�ĐŽŵƉĞƟǀŝĚĂĚĞ�
ĐŽŵ�Ž�ĞƐĨŽƌĕŽ�ĚĞ�ŝŶĐŽƌƉŽƌĂĕĆŽ�ĚŽƐ�ƐĞƚŽƌĞƐ�ĂƚƌĂƐĂĚŽƐ͕�ŵĂŝƐ�ŝŶƚĞŶƐŝǀŽƐ�ĚĞ�ŵĆŽ�ĚĞ�ŽďƌĂ͘�
�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬƵŶƉĂŶϭ͘ƵŶ͘ŽƌŐх͘��ĐĞƐƐŽ�Ğŵ͗�ϰ�ĂŐŽ͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂ�ƚĞŵĄƟĐĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K� ƚĞƌĐĞŝƌŽ� ƐĞƚŽƌ� Ġ� ƵŵĂ�ŵŝƐƚƵƌĂ� ĚŽƐ� ĚŽŝƐ� ƐĞƚŽƌĞƐ� ĞĐŽŶƀŵŝĐŽƐ� ĐůĄƐƐŝĐŽƐ� ĚĂ� ƐŽĐŝĞĚĂĚĞ͗� Ž� ƉƷďůŝĐŽ͕�
ƌĞƉƌĞƐĞŶƚĂĚŽ�ƉĞůŽ��ƐƚĂĚŽ͕�Ğ�Ž�ƉƌŝǀĂĚŽ͕�ƌĞƉƌĞƐĞŶƚĂĚŽ�ƉĞůŽ�ĞŵƉƌĞƐĂƌŝĂĚŽ�Ğŵ�ŐĞƌĂů͘
//͘� ��Ž�ƚĞƌĐĞŝƌŽ�ƐĞƚŽƌ�ƋƵĞ�ǀŝĂďŝůŝnjĂ�Ž�ĂĐĞƐƐŽ�ĚĂ�ƐŽĐŝĞĚĂĚĞ�ă�ĞĚƵĐĂĕĆŽ�Ğ�ĂŽ�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĚĞ�ƚĠĐŶŝĐĂƐ�
ŝŶĚƵƐƚƌŝĂŝƐ͕�ĞĐŽŶƀŵŝĐĂƐ͕�ĮŶĂŶĐĞŝƌĂƐ͕�ƉŽůşƟĐĂƐ�Ğ�ĂŵďŝĞŶƚĂŝƐ͘
///͘� ��ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞ�ƐŽĐŝĂů�ƚĞŵ�ƌĞƐƵůƚĂĚŽ�ŶĂ�ĂůƚĞƌĂĕĆŽ�ĚŽ�ƉĞƌĮů�ĐŽƌƉŽƌĂƟǀŽ�Ğ�ĞƐƚƌĂƚĠŐŝĐŽ�ĚĂƐ�ĞŵƉƌĞƐĂƐ͕�
ƋƵĞ�ƚġŵ�ƌĞĨŽƌŵƵůĂĚŽ�Ă�ĐƵůƚƵƌĂ�Ğ�Ă�ĮůŽƐŽĮĂ�ƋƵĞ�ŽƌŝĞŶƚĂŵ�ĂƐ�ĂĕƁĞƐ�ŝŶƐƟƚƵĐŝŽŶĂŝƐ͘
�ƐƚĄ�ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B //͕�ĂƉĞŶĂƐ͘
C /�Ğ�///͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R1720144*
5
�E'�E,�Z/���>�dZ/��
QUESTÃO 03
WeŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ġ�Ƶŵ� ŝŶĚŝĐĂĚŽƌ�ƋƵĞ�ĞƐƟŵĂ�Ă�ĚĞŵĂŶĚĂ�ŽƵ�Ă� ĞdžŝŐġŶĐŝĂ�ŚƵŵĂŶĂ� ƐŽďƌĞ�Ž�ŵĞŝŽ� ĂŵďŝĞŶƚĞ͕�
ĐŽŶƐŝĚĞƌĂŶĚŽͲƐĞ�Ž�ŶşǀĞů�ĚĞ�ĂƟǀŝĚĂĚĞ�ƉĂƌĂ�ĂƚĞŶĚĞƌ�ĂŽ�ƉĂĚƌĆŽ�ĚĞ�ĐŽŶƐƵŵŽ�ĂƚƵĂů�;ĐŽŵ�Ă�ƚĞĐŶŽůŽŐŝĂ�ĂƚƵĂůͿ͘��͕�ĚĞ�
ĐĞƌƚĂ�ĨŽƌŵĂ͕�ƵŵĂ�ŵĂŶĞŝƌĂ�ĚĞ�ŵĞĚŝƌ�Ž�ŇƵdžŽ�ĚĞ�ĂƟǀŽƐ�ĂŵďŝĞŶƚĂŝƐ�ĚĞ�ƋƵĞ�ŶĞĐĞƐƐŝƚĂŵŽƐ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�ŶŽƐƐŽ�ƉĂĚƌĆŽ�
ĚĞ�ĐŽŶƐƵŵŽ͘��ƐƐĞ�ŝŶĚŝĐĂĚŽƌ�Ġ�ŵĞĚŝĚŽ�Ğŵ�ŚĞĐƚĂƌĞ�ŐůŽďĂů͕�ŵĞĚŝĚĂ�ĚĞ�ĄƌĞĂ�ĞƋƵŝǀĂůĞŶƚĞ�Ă�ϭϬ�ϬϬϬ�ŵϸ͘�EĂ�ŵĞĚŝĚĂ�
ŚĞĐƚĂƌĞ�ŐůŽďĂů͕�ƐĆŽ�ĐŽŶƐŝĚĞƌĂĚĂƐ�ĂƉĞŶĂƐ�ĂƐ�ĄƌĞĂƐ�ƉƌŽĚƵƟǀĂƐ�ĚŽ�ƉůĂŶĞƚĂ͘���ďŝŽĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ͕�ŝŶĚŝĐĂĚŽƌ�
ƋƵĞ�ƌĞŇĞƚĞ�Ă�ƌĞŐĞŶĞƌĂĕĆŽ�;ŶĂƚƵƌĂůͿ�ĚŽ�ŵĞŝŽ�ĂŵďŝĞŶƚĞ͕�Ġ�ŵĞĚŝĚĂ�ƚĂŵďĠŵ�Ğŵ�ŚĞĐƚĂƌĞ�ŐůŽďĂů͘�hŵĂ�ƌĂnjĆŽ�ĞŶƚƌĞ�
ƉĞŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ğ�ďŝŽĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ�ŝŐƵĂů�Ă�ϭ�ŝŶĚŝĐĂ�ƋƵĞ�Ă�ĞdžŝŐġŶĐŝĂ�ŚƵŵĂŶĂ�ƐŽďƌĞ�ŽƐ�ƌĞĐƵƌƐŽƐ�ĚŽ�
ŵĞŝŽ�ĂŵďŝĞŶƚĞ�Ġ�ƌĞƉŽƐƚĂ�ŶĂ�ƐƵĂ�ƚŽƚĂůŝĚĂĚĞ�ƉĞůŽ�ƉůĂŶĞƚĂ͕�ĚĞǀŝĚŽ�ă�ĐĂƉĂĐŝĚĂĚĞ�ŶĂƚƵƌĂů�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ͘�^Ğ�ĨŽƌ�
ŵĂŝŽƌ�ƋƵĞ�ϭ͕�Ă�ƌĂnjĆŽ�ŝŶĚŝĐĂ�ƋƵĞ�Ă�ĚĞŵĂŶĚĂ�ŚƵŵĂŶĂ�Ġ�ƐƵƉĞƌŝŽƌ�ă�ĐĂƉĂĐŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ�ĚĞ�ƐĞ�ƌĞĐƵƉĞƌĂƌ�Ğ͕�ƐĞ�ĨŽƌ�
ŵĞŶŽƌ�ƋƵĞ�ϭ͕�ŝŶĚŝĐĂ�ƋƵĞ�Ž�ƉůĂŶĞƚĂ�ƐĞ�ƌĞĐƵƉĞƌĂ�ŵĂŝƐ�ƌĂƉŝĚĂŵĞŶƚĞ͘
Razão entre a pegada ecológica
e a biocapacidade do planeta1.60
1.50
1.40
1.30
1.20
1.10
1.00
0.90
0.80
0.70
0.60
19
61
19
65
19
70
19
75
19
80
19
85
19
90
19
95
20
00
20
05
20
08
0.74
0.85
1.00
1.08
1.16 1.14
1.25 1.27
1.30
1.45
1.52
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬĨŝŶĂŶĐĂƐĨĂĐĞŝƐ͘ǁŽƌĚƉƌĞƐƐ͘ĐŽŵх͘��ĐĞƐƐŽ�Ğŵ͗�ϭϬ�ĂŐŽ͘�ϮϬϭϰ͘
K�ĂƵŵĞŶƚŽ�ĚĂ�ƌĂnjĆŽ�ĞŶƚƌĞ�ƉĞŐĂĚĂ�ĞĐŽůſŐŝĐĂ�Ğ�ďŝŽĐĂƉĂĐŝĚĂĚĞ�ƌĞƉƌĞƐĞŶƚĂĚŽ�ŶŽ�ŐƌĄĨŝĐŽ�ĞǀŝĚĞŶĐŝĂ
A ƌĞĚƵĕĆŽ�ĚĂƐ�ĄƌĞĂƐ�ĚĞ�ƉůĂŶƚŝŽ�ĚŽ�ƉůĂŶĞƚĂ�ƉĂƌĂ�ǀĂůŽƌĞƐ�ŝŶĨĞƌŝŽƌĞƐ�Ă�ϭϬ�ϬϬϬ�ŵ2�ĚĞǀŝĚŽ�ĂŽ�ƉĂĚƌĆŽ�ĂƚƵĂů�
ĚĞ�ĐŽŶƐƵŵŽ�ĚĞ�ƉƌŽĚƵƚŽƐ�ĂŐƌşĐŽůĂƐ͘
B ĂƵŵĞŶƚŽ�ŐƌĂĚƵĂů�ĚĂ�ĐĂƉĂĐŝĚĂĚĞ�ŶĂƚƵƌĂů�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ�ĚŽ�ƉůĂŶĞƚĂ�Ğŵ�ƌĞůĂĕĆŽ�ăƐ�ĞdžŝŐġŶĐŝĂƐ�ŚƵŵĂŶĂƐ͘
C ƌĞƉŽƐŝĕĆŽ�ĚŽƐ�ƌĞĐƵƌƐŽƐ�ŶĂƚƵƌĂŝƐ�ƉĞůŽ�ƉůĂŶĞƚĂ�Ğŵ�ƐƵĂ�ƚŽƚĂůŝĚĂĚĞ�ĨƌĞŶƚĞ�ăƐ�ĞdžŝŐġŶĐŝĂƐ�ŚƵŵĂŶĂƐ͘
D ŝŶĐĂƉĂĐŝĚĂĚĞ�ĚĞ�ƌĞŐĞŶĞƌĂĕĆŽ�ŶĂƚƵƌĂů�ĚŽ�ƉůĂŶĞƚĂ�ĂŽ�ůŽŶŐŽ�ĚŽ�ƉĞƌşŽĚŽ�ϭϵϲϭͲϮϬϬϴ͘
E ƚĞŶĚġŶĐŝĂ�Ă�ĚĞƐĞƋƵŝůşďƌŝŽ�ŐƌĂĚƵĂů�Ğ�ĐŽŶƚşŶƵŽ�ĚĂ�ƐƵƐƚĞŶƚĂďŝůŝĚĂĚĞ�ĚŽ�ƉůĂŶĞƚĂ͘
*R1720145*
6
�E'�E,�Z/���>�dZ/��
QUESTÃO 04
/ŵƉŽƌƚĂŶƚĞ�website� ĚĞ� ƌĞůĂĐŝŽŶĂŵĞŶƚŽ� ĐĂŵŝŶŚĂ� ƉĂƌĂ�
ϳϬϬ�ŵŝůŚƁĞƐ�ĚĞ�ƵƐƵĄƌŝŽƐ͘�KƵƚƌŽ�ĐŽŶŚĞĐŝĚŽ�ƐĞƌǀŝĚŽƌ�ĚĞ�
microblogging�ĂĐƵŵƵůĂ�ϭϰϬ�ŵŝůŚƁĞƐ�ĚĞ�ŵĞŶƐĂŐĞŶƐ�ĂŽ�
ĚŝĂ͘���ĐŽŵŽ�ƐĞ�ϳϱй�ĚĂ�ƉŽƉƵůĂĕĆŽ�ďƌĂƐŝůĞŝƌĂ�ƉŽƐƚĂƐƐĞ�Ƶŵ�
ĐŽŵĞŶƚĄƌŝŽ�Ă�ĐĂĚĂ�Ϯϰ�ŚŽƌĂƐ͘��Žŵ�ĂƐ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ĐĂĚĂ�
ǀĞnj�ŵĂŝƐ�ƉƌĞƐĞŶƚĞƐ�ŶŽ�ĚŝĂ�Ă�ĚŝĂ�ĚĂƐ�ƉĞƐƐŽĂƐ͕�Ġ�ŝŶĞǀŝƚĄǀĞů�
ƋƵĞ� ŵƵŝƚĂ� ŐĞŶƚĞ� ĞŶĐŽŶƚƌĞ� ŶĞůĂƐ� ƵŵĂ� ŵĂŶĞŝƌĂ� ĨĄĐŝů͕�
ƌĄƉŝĚĂ�Ğ�ĂďƌĂŶŐĞŶƚĞ�ĚĞ�ƐĞ�ŵĂŶŝĨĞƐƚĂƌ͘
hŵĂ�ƌĞĚĞ�ƐŽĐŝĂů�ĚĞ�ƌĞĐƌƵƚĂŵĞŶƚŽ�ƌĞǀĞůŽƵ�ƋƵĞ�ϵϮй�
ĚĂƐ� ĞŵƉƌĞƐĂƐ� ĂŵĞƌŝĐĂŶĂƐ� ũĄ� ƵƐĂƌĂŵ� ŽƵ� ƉůĂŶĞũĂŵ�
ƵƐĂƌ� ĂƐ� ƌĞĚĞƐ� ƐŽĐŝĂŝƐ� ŶŽ� ƉƌŽĐĞƐƐŽ� ĚĞ� ĐŽŶƚƌĂƚĂĕĆŽ͘�
�ĞƐƚĂƐ͕� ϲϬй� ĂƐƐƵŵĞŵ� ƋƵĞ� ďŝƐďŝůŚŽƚĂŵ� Ă� ǀŝĚĂ� ĚŽƐ�
ĐĂŶĚŝĚĂƚŽƐ�Ğŵ�websites�ĚĞ�ƌĞĚĞ�ƐŽĐŝĂů͘
ZĞĂůŝnjĂĚĂ� ƉŽƌ� ƵŵĂ� ĂŐġŶĐŝĂ� ĚĞ� ƌĞĐƌƵƚĂŵĞŶƚŽ͕� ƵŵĂ�
ƉĞƐƋƵŝƐĂ� ĐŽŵ� Ϯ� ϱϬϬ� ĞdžĞĐƵƟǀŽƐ� ďƌĂƐŝůĞŝƌŽƐ� ŵŽƐƚƌŽƵ�
ƋƵĞ�ϰϰй�ĚĞƐĐůĂƐƐŝĮĐĂƌŝĂŵ͕�ŶŽ�ƉƌŽĐĞƐƐŽ�ĚĞ�ƐĞůĞĕĆŽ͕�Ƶŵ�
ĐĂŶĚŝĚĂƚŽ�ƉŽƌ�ƐĞƵ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ�Ğŵ�ƵŵĂ�ƌĞĚĞ�ƐŽĐŝĂů͘
DƵŝƚĂƐ� ƉĞƐƐŽĂƐ� ũĄ� ĞŶĨƌĞŶƚĂƌĂŵ� ƉƌŽďůĞŵĂƐ� ƉŽƌ�
ĐĂƵƐĂ� ĚĞ� ŝŶĨŽƌŵĂĕƁĞƐ� online͕� ƚĂŶƚŽ� ŶŽ� ĐĂŵƉŽ�
ƉĞƐƐŽĂů� ƋƵĂŶƚŽ� ŶŽ� ƉƌŽĮƐƐŝŽŶĂů͘� �ůŐƵŵĂƐ� ĞŵƉƌĞƐĂƐ�
Ğ� ŝŶƐƟƚƵŝĕƁĞƐ͕� ŝŶĐůƵƐŝǀĞ͕� ũĄ� ĂĚŽƚĂƌĂŵ� ĐĂƌƟůŚĂƐ� ĚĞ�
ĐŽŶĚƵƚĂ�Ğŵ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘
WK>KE/͕�'͘�K�ůĂĚŽ�ƉĞƌŝŐŽƐŽ�ĚĂƐ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘�ZĞǀŝƐƚĂ�/E&K͕�
Ɖ͘�ϳϬ�Ͳ�ϳϱ͕�ũƵůŚŽ�ϮϬϭϭ�;ĂĚĂƉƚĂĚŽͿ͘
�Ğ�ĂĐŽƌĚŽ�ĐŽŵ�Ž�ƚĞdžƚŽ͕
A ŵĂŝƐ�ĚĂ�ŵĞƚĂĚĞ�ĚĂƐ�ĞŵƉƌĞƐĂƐ�ĂŵĞƌŝĐĂŶĂƐ�ĞǀŝƚĂ�
ĂĐĞƐƐĂƌ�websites ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ĚĞ�ĐĂŶĚŝĚĂƚŽƐ�
Ă�ĞŵƉƌĞŐŽ͘
B ĞŵƉƌĞƐĂƐ� Ğ� ŝŶƐƟƚƵŝĕƁĞƐ� ĞƐƚĆŽ� ĂƚĞŶƚĂƐ� ĂŽ�
ĐŽŵƉŽƌƚĂŵĞŶƚŽ�ĚĞ� ƐĞƵƐ� ĨƵŶĐŝŽŶĄƌŝŽƐ� Ğŵ�websites
ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ͘
C Ă� ĐŽŵƉůĞdžŝĚĂĚĞ� ĚŽƐ� ƉƌŽĐĞĚŝŵĞŶƚŽƐ� ĚĞ� ƌĂƐƚƌĞŝŽ� Ğ�
ŵŽŶŝƚŽƌĂŵĞŶƚŽ� ĚĞ� ƵŵĂ� ƌĞĚĞ� ƐŽĐŝĂů� ŝŵƉĞĚĞ� ƋƵĞ�
ĂƐ� ĞŵƉƌĞƐĂƐ� ƚĞŶŚĂŵ� ĂĐĞƐƐŽ� ĂŽ� ƉĞƌĮů� ĚĞ� ƐĞƵƐ�
ĨƵŶĐŝŽŶĄƌŝŽƐ͘
D ĂƐ� ĐĂƌƟůŚĂƐ� ĚĞ� ĐŽŶĚƵƚĂ� ĂĚŽƚĂĚĂƐ� ŶĂƐ� ĞŵƉƌĞƐĂƐ�
ƉƌŽşďĞŵ�Ž�ƵƐŽ�ĚĞ�ƌĞĚĞƐ�ƐŽĐŝĂŝƐ�ƉĞůŽƐ�ĨƵŶĐŝŽŶĄƌŝŽƐ �͕Ğŵ�
ǀĞnj�ĚĞ�ƌĞĐŽŵĞŶĚĂƌ�ŵƵĚĂŶĕĂƐ�ĚĞ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ͘
E Ă� ŵĂŝŽƌŝĂ� ĚŽƐ� ĞdžĞĐƵƟǀŽƐ� ďƌĂƐŝůĞŝƌŽƐ� ƵƟůŝnjĂƌŝĂ�
ŝŶĨŽƌŵĂĕƁĞƐ� ŽďƟĚĂƐ� Ğŵ� websites ĚĞ� ƌĞĚĞƐ�
ƐŽĐŝĂŝƐ͕� ƉĂƌĂ� ĚĞƐĐůĂƐƐŝĮĐĂƌ� Ƶŵ� ĐĂŶĚŝĚĂƚŽ� Ğŵ�
ƉƌŽĐĞƐƐŽ�ĚĞ�ƐĞůĞĕĆŽ͘
QUESTÃO 05
hŵĂ� ŝĚĞŝĂ� Ğ� Ƶŵ� ĂƉĂƌĞůŚŽ� ƐŝŵƉůĞƐ� ĚĞǀĞŵ͕� Ğŵ� ďƌĞǀĞ͕�
ĂũƵĚĂƌ�Ă�ƐĂůǀĂƌ�ǀŝĚĂƐ�ĚĞ�ƌĞĐĠŵͲŶĂƐĐŝĚŽƐ͘�/ĚĞĂůŝnjĂĚŽ�ƉĞůŽ�
ŵĞĐąŶŝĐŽ�ĂƌŐĞŶƟŶŽ�:ŽƌŐĞ�KĚſŶ͕�Ž�ĚŝƐƉŽƐŝƟǀŽ�ƋƵĞ�ůĞǀĂ�ƐĞƵ�
ƐŽďƌĞŶŽŵĞ�ĚĞƐĞŶƚĂůĂ�Ƶŵ�ďĞďġ�ƉƌĞƐŽ�ŶŽ�ĐĂŶĂů�ǀĂŐŝŶĂů�ͷ
Ğ͕�ƉŽƌ�ŵĂŝƐ�ŝŶƵƐŝƚĂĚŽ�ƋƵĞ�ƉĂƌĞĕĂ͕�ĨŽŝ�ĐƌŝĂĚŽ�ĐŽŵ�ďĂƐĞ�Ğŵ�
ƚĠĐŶŝĐĂ�ƵƐĂĚĂ�ƉĂƌĂ�ƌĞŵŽǀĞƌ�ƌŽůŚĂƐ�ĚĞ�ĚĞŶƚƌŽ�ĚĞ�ŐĂƌƌĂĨĂƐ͘�
K�ĂƉĂƌĞůŚŽ�ĐŽŶƐŝƐƚĞ�Ğŵ�ƵŵĂ�ďŽůƐĂ�ƉůĄƐƟĐĂ�ŝŶƐĞƌŝĚĂ�Ğŵ�
ƵŵĂ�ƉƌŽƚĞĕĆŽ�ĨĞŝƚĂ�ĚŽ�ŵĞƐŵŽ�ŵĂƚĞƌŝĂů�Ğ�ƋƵĞ�ĞŶǀŽůǀĞ�Ă�
ĐĂďĞĕĂ� ĚĂ� ĐƌŝĂŶĕĂ͘� �ƐƚĂŶĚŽ�Ž� ĚŝƐƉŽƐŝƟǀŽ� ĚĞǀŝĚĂŵĞŶƚĞ�
ƉŽƐŝĐŝŽŶĂĚŽ͕�Ă�ďŽůƐĂ�Ġ� ŝŶŇĂĚĂ�ƉĂƌĂ�ĂĚĞƌŝƌ�ă�ĐĂďĞĕĂ�ĚŽ�
ďĞďġ�Ğ�ƐĞƌ�ƉƵdžĂĚĂ�ĂŽƐ�ƉŽƵĐŽƐ͕�ĚĞ�ĨŽƌŵĂ�Ă�ŶĆŽ�ŵĂĐŚƵĐĄͲ
ůŽ͘�K�ŵĠƚŽĚŽ�ĚĞ�KĚſŶ�ĚĞǀĞ�ƐƵďƐƟƚƵŝƌ�ŽƵƚƌŽƐ�ũĄ�ĂƌĐĂŝĐŽƐ͕�
ĐŽŵŽ�Ž�ĚĞ�ĨſƌĐĞƉƐ�Ğ�Ž�ĚĞ�ƚƵďŽƐ�ĚĞ�ƐƵĐĕĆŽ͕�ŽƐ�ƋƵĂŝƐ͕�ƐĞ�
ƵƐĂĚŽƐ� ƉŽƌ� ŵĆŽƐ� ŵĂůƚƌĞŝŶĂĚĂƐ͕� ƉŽĚĞŵ� ĐŽŵƉƌŽŵĞƚĞƌ�
Ă�ǀŝĚĂ�ĚŽ�ďĞďġ͕�Ž�ƋƵĞ͕�ƐĞŐƵŶĚŽ�ĞƐƉĞĐŝĂůŝƐƚĂƐ͕�ŶĆŽ�ĚĞǀĞ�
ĂĐŽŶƚĞĐĞƌ�ĐŽŵ�Ž�ŶŽǀŽ�ĞƋƵŝƉĂŵĞŶƚŽ͘
^ĞŐƵŶĚŽ�Ž�dŚĞ�EĞǁ�zŽƌŬ�dŝŵĞƐ͕�Ă�ŝĚĞŝĂ�ƌĞĐĞďĞƵ�ĂƉŽŝŽ�
ĚĂ�KƌŐĂŶŝnjĂĕĆŽ�DƵŶĚŝĂů�ĚĞ�^ĂƷĚĞ�;KD^Ϳ�Ğ� ũĄ� ĨŽŝ�ĂƚĠ�
ůŝĐĞŶĐŝĂĚĂ� ƉŽƌ� ƵŵĂ� ĞŵƉƌĞƐĂ� ŶŽƌƚĞͲĂŵĞƌŝĐĂŶĂ� ĚĞ�
ƚĞĐŶŽůŽŐŝĂ�ŵĠĚŝĐĂ͘�EĆŽ�ƐĞ�ƐĂďĞ�ƋƵĂŶĚŽ�Ž�ĞƋƵŝƉĂŵĞŶƚŽ�
ĐŽŵĞĕĂƌĄ�Ă�ƐĞƌ�ƉƌŽĚƵnjŝĚŽ�ŶĞŵ�Ž�ƉƌĞĕŽ�Ă�ƐĞƌ�ĐŽďƌĂĚŽ͕�
ŵĂƐ�ƉƌĞƐƵŵĞͲƐĞ�ƋƵĞ�ĞůĞ�ŶĆŽ�ƉĂƐƐĂƌĄ�ĚĞ�ϱϬ�ĚſůĂƌĞƐ͕�
ĐŽŵ�ƌĞĚƵĕĆŽ�ĚŽ�ƉƌĞĕŽ�Ğŵ�ƉĂşƐĞƐ�ŵĂŝƐ�ƉŽďƌĞƐ͘
'h^D�K͕�'͘��ƉĂƌĞůŚŽ�ĚĞǀĞ�ĨĂĐŝůŝƚĂƌ�ƉĂƌƚŽƐ�Ğŵ�ƐŝƚƵĂĕƁĞƐ�ĚĞ�
emergência͘��ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬĞdžĂŵĞ͘Ăďƌŝů͘ĐŽŵ͘ďƌх͘�
�ĐĞƐƐŽ�Ğŵ͗�ϭϴ�ŶŽǀ͘ �ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
�Žŵ�ƌĞůĂĕĆŽ�ĂŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �� ƵƟůŝnjĂĕĆŽ� ĚŽ� ŵĠƚŽĚŽ� ĚĞ� KĚſŶ� ƉŽĚĞƌĄ�
ƌĞĚƵnjŝƌ�Ă� ƚĂdžĂ�ĚĞ�ŵŽƌƚĂůŝĚĂĚĞ�ĚĞ�ĐƌŝĂŶĕĂƐ�ĂŽ�
ŶĂƐĐĞƌ͕ �ŵĞƐŵŽ�Ğŵ�ƉĂşƐĞƐ�ƉŽďƌĞƐ͘
//͘� WŽƌ� ƐĞƌ� ƵŵĂ� ǀĂƌŝĂŶƚĞ� ĚŽƐ� ƚƵďŽƐ� ĚĞ� ƐƵĐĕĆŽ͕� Ž�
ĂƉĂƌĞůŚŽ�ĚĞƐĞŶǀŽůǀŝĚŽ�ƉŽƌ�KĚſŶ�Ġ�ƌĞƐƵůƚĂĚŽ�ĚĞ�
ĂƉĞƌĨĞŝĕŽĂŵĞŶƚŽ�ĚĞ�ĞƋƵŝƉĂŵĞŶƚŽƐ�ĚĞ�ƉĂƌƚŽ͘
///͘� WŽƌ�ƐĞƵ�ƵƐŽ�ƐŝŵƉůĞƐ͕�Ž�ĚŝƐƉŽƐŝƟǀŽ�ĚĞ�MĚŽŶ�ƚĞŵ�
ŐƌĂŶĚĞ�ƉŽƚĞŶĐŝĂů�ĚĞ�ƐĞƌ�ƵƐĂĚŽ�Ğŵ�ƉĂşƐĞƐ�ŽŶĚĞ�
Ž�ƉĂƌƚŽ�Ġ�ƵƐƵĂůŵĞŶƚĞ�ƌĞĂůŝnjĂĚŽ�ƉŽƌ�ƉĂƌƚĞŝƌĂƐ͘
/s͘ � �� ƉŽƐƐŝďŝůŝĚĂĚĞ� ĚĞ͕� Ğŵ� ƉĂşƐĞƐ� ŵĂŝƐ� ƉŽďƌĞƐ͕�
ƌĞĚƵnjŝƌͲƐĞ� Ž� ƉƌĞĕŽ� ĚŽ� ĂƉĂƌĞůŚŽ� ŝĚĞĂůŝnjĂĚŽ�
ƉŽƌ� KĚſŶ� ĞǀŝĚĞŶĐŝĂ� ƉƌĞŽĐƵƉĂĕĆŽ� ĐŽŵ� Ă�
ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞ�ƐŽĐŝĂů͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�/s͘
C //�Ğ�///͘
D /͕�///�Ğ�/s͘
E //͕�///�Ğ�/s͘
*R1720146*
7
�E'�E,�Z/���>�dZ/��
QUESTÃO 06
�Ɛ�ŵƵůŚĞƌĞƐ�ĨƌĞƋƵĞŶƚĂŵ�ŵĂŝƐ�ŽƐ�ďĂŶĐŽƐ�ĞƐĐŽůĂƌĞƐ�ƋƵĞ�ŽƐ�ŚŽŵĞŶƐ͕�ĚŝǀŝĚĞŵ�ƐĞƵ�ƚĞŵƉŽ�ĞŶƚƌĞ�Ž�ƚƌĂďĂůŚŽ�Ğ�ŽƐ�
ĐƵŝĚĂĚŽƐ�ĐŽŵ�Ă�ĐĂƐĂ͕�ŐĞƌĂŵ�ƌĞŶĚĂ�ĨĂŵŝůŝĂƌ͕ �ƉŽƌĠŵ�ĐŽŶƟŶƵĂŵ�ŐĂŶŚĂŶĚŽ�ŵĞŶŽƐ�Ğ�ƚƌĂďĂůŚĂŶĚŽ�ŵĂŝƐ�ƋƵĞ�ŽƐ�
ŚŽŵĞŶƐ͘
�Ɛ�ƉŽůşƟĐĂƐ�ĚĞ�ďĞŶĞİĐŝŽƐ�ŝŵƉůĞŵĞŶƚĂĚĂƐ�ƉŽƌ�ĞŵƉƌĞƐĂƐ�ƉƌĞŽĐƵƉĂĚĂƐ�Ğŵ�ĨĂĐŝůŝƚĂƌ�Ă�ǀŝĚĂ�ĚĂƐ�ĨƵŶĐŝŽŶĄƌŝĂƐ�ƋƵĞ�
ƚġŵ�ĐƌŝĂŶĕĂ�ƉĞƋƵĞŶĂ�Ğŵ�ĐĂƐĂ�ũĄ�ĞƐƚĆŽ�ĐŚĞŐĂŶĚŽ�ĂŽ��ƌĂƐŝů͘��ĐŽƌĚŽƐ�ĚĞ�ŚŽƌĄƌŝŽƐ�ŇĞdžşǀĞŝƐ͕�ƉƌŽŐƌĂŵĂƐ�ĐŽŵŽ�
ĂƵdžşůŝŽͲĐƌĞĐŚĞ͕�ĂƵdžşůŝŽͲďĂďĄ�Ğ�ĂƵdžşůŝŽͲĂŵĂŵĞŶƚĂĕĆŽ�ƐĆŽ�ĂůŐƵŶƐ�ĚŽƐ�ďĞŶĞİĐŝŽƐ�ŽĨĞƌĞĐŝĚŽƐ͘
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�ϯϬ�ũƵů͘�ϮϬϭϯ�;ĂĚĂƉƚĂĚŽͿ͘
30,3 36,5
10,1 44,4
31,7 34
15,5 41,4
JORNADA MÉDIA TOTAL DE TRABALHO POR
SEMANA NO BRASIL - (EM HORAS)
mãe com filhos
pai com filhos
mulher chefe de casal
com filhos
homem chefe de casal
com filhos
mulher cônjugeem
casal com filhos
tempo médio por semana dedicado aos afazeres domésticos
0 10 20 30 40 50 60 70
tempo médio por semana dedicado ao trabalho remunerado
25,9 36,8
�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩƉ͗ͬͬŝƉĞĂ͘ŐŽǀ͘ ďƌх͘��ĐĞƐƐŽ�Ğŵ͗�ϯϬ�ũƵů͘�ϮϬϭϯ͘�
�ŽŶƐŝĚĞƌĂŶĚŽ�Ž�ƚĞdžƚŽ�Ğ�Ž�ŐƌĄĮĐŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K�ƐŽŵĂƚſƌŝŽ�ĚŽ�ƚĞŵƉŽ�ĚĞĚŝĐĂĚŽ�ƉĞůĂƐ�ŵƵůŚĞƌĞƐ�ĂŽƐ�ĂĨĂnjĞƌĞƐ�ĚŽŵĠƐƟĐŽƐ�Ğ�ĂŽ�ƚƌĂďĂůŚŽ�ƌĞŵƵŶĞƌĂĚŽ�
Ġ�ƐƵƉĞƌŝŽƌ�ĂŽ�ĚĞĚŝĐĂĚŽ�ƉĞůŽƐ�ŚŽŵĞŶƐ͕�ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�ĚŽ�ĨŽƌŵĂƚŽ�ĚĂ�ĨĂŵşůŝĂ͘
//͘� K�ĨƌĂŐŵĞŶƚŽ�ĚĞ�ƚĞdžƚŽ�Ğ�ŽƐ�ĚĂĚŽƐ�ĚŽ�ŐƌĄĮĐŽ�ĂƉŽŶƚĂŵ�ƉĂƌĂ�Ă�ŶĞĐĞƐƐŝĚĂĚĞ�ĚĞ�ĐƌŝĂĕĆŽ�ĚĞ�ƉŽůşƟĐĂƐ�ƋƵĞ�
ƉƌŽŵŽǀĂŵ�Ă�ŝŐƵĂůĚĂĚĞ�ĞŶƚƌĞ�ŽƐ�ŐġŶĞƌŽƐ�ŶŽ�ƋƵĞ�ĐŽŶĐĞƌŶĞ͕�ƉŽƌ�ĞdžĞŵƉůŽ͕�Ă�ƚĞŵƉŽ�ŵĠĚŝŽ�ĚĞĚŝĐĂĚŽ�
ĂŽ�ƚƌĂďĂůŚŽ�Ğ�ƌĞŵƵŶĞƌĂĕĆŽ�ƌĞĐĞďŝĚĂ͘�
///͘� EŽ� ĨƌĂŐŵĞŶƚŽ� ĚĞ� ƌĞƉŽƌƚĂŐĞŵ� ĂƉƌĞƐĞŶƚĂĚŽ͕� ƌĞƐƐĂůƚĂͲƐĞ� Ă� ĚŝĨĞƌĞŶĕĂ� ĞŶƚƌĞ� Ž� ƚĞŵƉŽ� ĚĞĚŝĐĂĚŽ� ƉŽƌ�
ŵƵůŚĞƌĞƐ�Ğ�ŚŽŵĞŶƐ�ĂŽ�ƚƌĂďĂůŚŽ�ƌĞŵƵŶĞƌĂĚŽ͕�ƐĞŵ�ĂůƵƐĆŽ�ĂŽƐ�ĂĨĂnjĞƌĞƐ�ĚŽŵĠƐƟĐŽƐ͘�
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R1720147*
ϴ
�E'�E,�Z/���>�dZ/��
QUESTÃO 07
K� ƋƵĂĚƌŽ� Ă� ƐĞŐƵŝƌ� ĂƉƌĞƐĞŶƚĂ� Ă� ƉƌŽƉŽƌĕĆŽ� ;йͿ�
ĚĞ� ƚƌĂďĂůŚĂĚŽƌĞƐ� ƉŽƌ� ĨĂŝdžĂ� ĚĞ� ƚĞŵƉŽ� ŐĂƐƚŽ� ŶŽ�
ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ͕� ŶŽ� �ƌĂƐŝů� Ğ� Ğŵ� ƚƌġƐ�
ĐŝĚĂĚĞƐ�ďƌĂƐŝůĞŝƌĂƐ͘
Tempo de 
deslocamento Brasil
Rio de 
Janeiro
São
Paulo �ƵƌŝƟďĂ�
Até cinco minutos ϭϮ͕ϳϬ ϱ͕ϴϬ ϱ͕ϭϬ ϳ͕ϴϬ
De seis minutos 
até meia hora ϱϮ͕ϮϬ ϯϮ͕ϭϬ ϯϭ͕ϲϬ ϰϱ͕ϴϬ
Mais de meia hora 
até uma hora Ϯϯ͕ϲϬ ϯϯ͕ϱϬ ϯϰ͕ϲϬ ϯϮ͕ϰϬ
Mais de uma hora 
até duas horas ϵ͕ϴϬ Ϯϯ͕ϮϬ Ϯϯ͕ϯϬ ϭϮ͕ϵϬ
Mais de duas 
horas ϭ͕ϴϬ ϱ͕ϱϬ ϱ͕ϯϬ ϭ͕ϮϬ
��E^K�ϮϬϭϬͬ/�'��;ĂĚĂƉƚĂĚŽͿ͘�
�Žŵ� ďĂƐĞ� ŶŽƐ� ĚĂĚŽƐ� ĂƉƌĞƐĞŶƚĂĚŽƐ� Ğ� ĐŽŶƐŝĚĞƌĂŶĚŽ� Ă�
ĚŝƐƚƌŝďƵŝĕĆŽ� ĚĂ� ƉŽƉƵůĂĕĆŽ� ƚƌĂďĂůŚĂĚŽƌĂ� ŶĂƐ� ĐŝĚĂĚĞƐ� Ğ�
ĂƐ�ƉŽůşƟĐĂƐ�ƉƷďůŝĐĂƐ�ĚŝƌĞĐŝŽŶĂĚĂƐ�ă�ŵŽďŝůŝĚĂĚĞ�ƵƌďĂŶĂ͕�
ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� ��ĚŝƐƚƌŝďƵŝĕĆŽ�ĚĂƐ�ƉĞƐƐŽĂƐ�ƉŽƌ� ĨĂŝdžĂ�ĚĞ� ƚĞŵƉŽ�
ĚĞ� ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ� ŶĂ� ƌĞŐŝĆŽ�
ŵĞƚƌŽƉŽůŝƚĂŶĂ�ĚŽ�ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ�Ġ�ƉƌſdžŝŵĂ�ă�ƋƵĞ�
ƐĞ�ǀĞƌŝĮĐĂ�Ğŵ�^ĆŽ�WĂƵůŽ͕�ŵĂƐ�ŶĆŽ�Ğŵ��ƵƌŝƟďĂ�Ğ�
ŶĂ�ŵĠĚŝĂ�ďƌĂƐŝůĞŝƌĂ͘
//͘� EĂƐ�ŵĞƚƌſƉŽůĞƐ͕�Ğŵ�ŐĞƌĂů͕�Ă�ŵĂŝŽƌŝĂ�ĚŽƐ�ƉŽƐƚŽƐ�
ĚĞ� ƚƌĂďĂůŚŽ� ĞƐƚĄ� ůŽĐĂůŝnjĂĚĂ� ŶĂƐ� ĄƌĞĂƐ� ƵƌďĂŶĂƐ�
ĐĞŶƚƌĂŝƐ͕�Ğ�ĂƐ�ƌĞƐŝĚġŶĐŝĂƐ�ĚĂ�ƉŽƉƵůĂĕĆŽ�ĚĞ�ďĂŝdžĂ�
ƌĞŶĚĂ�ĞƐƚĆŽ� ĐŽŶĐĞŶƚƌĂĚĂƐ� Ğŵ�ĄƌĞĂƐ� ŝƌƌĞŐƵůĂƌĞƐ�
ŽƵ�ŶĂ�ƉĞƌŝĨĞƌŝĂ͕�Ž�ƋƵĞ�ĂƵŵĞŶƚĂ�Ž�ƚĞŵƉŽ�ŐĂƐƚŽ�ƉŽƌ�
ĞƐƚĂ�ƉŽƉƵůĂĕĆŽ�ŶŽ�ĚĞƐůŽĐĂŵĞŶƚŽ�ĐĂƐĂͲƚƌĂďĂůŚŽ�Ğ�
Ž�ĐƵƐƚŽ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ͘
///͘� �Ɛ� ƉŽůşƟĐĂƐ� ƉƷďůŝĐĂƐ� ƌĞĨĞƌĞŶƚĞƐ� Ă� ƚƌĂŶƐƉŽƌƚĞƐ�
ƵƌďĂŶŽƐ͕� ĐŽŵŽ͕� ƉŽƌ� ĞdžĞŵƉůŽ͕� �ŝůŚĞƚĞ� jŶŝĐŽ�
Ğ� sĞşĐƵůŽ� >ĞǀĞ� ƐŽďƌĞ� dƌŝůŚŽƐ� ;s>dͿ͕� ĂŽ� ƐĞƌĞŵ�
ŝŵƉůĞŵĞŶƚĂĚĂƐ͕� ĐŽŶƚƌŝďƵĞŵ� ƉĂƌĂ� ƌĞĚƵĕĆŽ� ĚŽ�
ƚĞŵƉŽ�ŐĂƐƚŽ�ŶŽ�ĚĞƐůŽĐĂŵĞŶƚŽ� ĐĂƐĂͲƚƌĂďĂůŚŽ�Ğ�
ĚŽ�ĐƵƐƚŽ�ĚŽ�ƚƌĂŶƐƉŽƌƚĞ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
QUESTÃO 08
�ŽŶƐƚĂŶƚĞƐ� ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ŽĐŽƌƌĞƌĂŵ� ŶŽƐ� ŵĞŝŽƐ�
ƌƵƌĂů�Ğ�ƵƌďĂŶŽ͕�Ă�ƉĂƌƟƌ�ĚŽ�ƐĠĐƵůŽ�yy͘��Žŵ�Ž�ĂĚǀĞŶƚŽ�
ĚĂ�ŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ͕�ŚŽƵǀĞ�ŵƵĚĂŶĕĂƐ�ŝŵƉŽƌƚĂŶƚĞƐ�ŶŽ�
ŵŽĚŽ�ĚĞ�ǀŝĚĂ�ĚĂƐ�ƉĞƐƐŽĂƐ͕�Ğŵ�ƐĞƵƐ�ƉĂĚƌƁĞƐ�ĐƵůƚƵƌĂŝƐ͕�
ǀĂůŽƌĞƐ� Ğ� ƚƌĂĚŝĕƁĞƐ͘�K� ĐŽŶũƵŶƚŽ�ĚĞ� ĂĐŽŶƚĞĐŝŵĞŶƚŽƐ�
ƉƌŽǀŽĐŽƵ͕� ƚĂŶƚŽ� ŶĂ� njŽŶĂ� ƵƌďĂŶĂ� ƋƵĂŶƚŽ� ŶĂ� ƌƵƌĂů͕�
ƉƌŽďůĞŵĂƐ�ĐŽŵŽ�ĞdžƉůŽƐĆŽ�ĚĞŵŽŐƌĄĮĐĂ͕�ƉƌĞũƵşnjŽ�ŶĂƐ�
ĂƟǀŝĚĂĚĞƐ�ĂŐƌşĐŽůĂƐ�Ğ�ǀŝŽůġŶĐŝĂ͘
/ŶŝĐŝĂƌĂŵͲƐĞ� ŝŶƷŵĞƌĂƐ� ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ŶĂ� ŶĂƚƵƌĞnjĂ͕�
ĐƌŝĂŶĚŽͲƐĞ�ƚĠĐŶŝĐĂƐ�ƉĂƌĂ�ŽďũĞƚŽƐ�ĂƚĠ�ĞŶƚĆŽ�ƐĞŵ�ƵƟůŝĚĂĚĞ�
ƉĂƌĂ� Ž� ŚŽŵĞŵ͘� /ƐƐŽ� Ɛſ� ĨŽŝ� ƉŽƐƐşǀĞů� Ğŵ� ĚĞĐŽƌƌġŶĐŝĂ�
ĚŽƐ� ƌĞĐƵƌƐŽƐ� ŶĂƚƵƌĂŝƐ� ĞdžŝƐƚĞŶƚĞƐ͕� ƋƵĞ� ƉƌŽƉŝĐŝĂƌĂŵ�
ĞƐƚƌƵƚƵƌĂ�ĚĞ�ĐƌĞƐĐŝŵĞŶƚŽ�Ğ�ďƵƐĐĂ�ĚĞ�ƉƌŽƐƉĞƌŝĚĂĚĞ͕�Ž�
ƋƵĞ�ĨĂnj�ĚĂ�ĞdžƉĞƌŝŵĞŶƚĂĕĆŽ�Ƶŵ�ŵĠƚŽĚŽ�ĚĞ�ƚƌĂŶƐĨŽƌŵĂƌ�
ŽƐ�ƌĞĐƵƌƐŽƐ�Ğŵ�ďĞŶĞİĐŝŽ�ƉƌſƉƌŝŽ͘
^�EdK^͕�D͘�DĞƚĂŵŽƌĨŽƐĞƐ�ĚŽ�ĞƐƉĂĕŽ�ŚĂďŝƚĂĚŽ.
^ĆŽ�WĂƵůŽ͗�,ƵĐŝƚĞĐ͕�ϭϵϴϴ�;ĂĚĂƉƚĂĚŽͿ͘
��ƉĂƌƟƌ�ĚĂƐ�ŝĚĞŝĂƐ�ĞdžƉƌĞƐƐĂƐ�ŶŽ�ƚĞdžƚŽ�ĂĐŝŵĂ͕�ĐŽŶĐůƵŝͲƐĞ�
ƋƵĞ͕�ŶŽ��ƌĂƐŝů�ĚŽ�ƐĠĐƵůŽ�yy͕
A Ă� ŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ� ŽĐŽƌƌĞƵ� ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�
ĚŽ�ġdžŽĚŽ�ƌƵƌĂů�Ğ�ĚŽƐ�ƌĞĐƵƌƐŽƐ�ŶĂƚƵƌĂŝƐ�ĚŝƐƉŽŶşǀĞŝƐ͘
B Ž�ġdžŽĚŽ�ƌƵƌĂů�ƉĂƌĂ�ĂƐ�ĐŝĚĂĚĞƐ�ŶĆŽ�ƉƌĞũƵĚŝĐŽƵ�ĂƐ�
ĂƚŝǀŝĚĂĚĞƐ�ĂŐƌşĐŽůĂƐ�ŶĞŵ�Ž�ŵĞŝŽ�ƌƵƌĂů�ƉŽƌƋƵĞ�
ŶŽǀĂƐ� ƚĞĐŶŽůŽŐŝĂƐ� ŚĂǀŝĂŵ� ƐŝĚŽ� ŝŶƚƌŽĚƵnjŝĚĂƐ�
ŶŽ�ĐĂŵƉŽ͘
C ŚŽŵĞŶƐ�Ğ�ŵƵůŚĞƌĞƐ�ĂĚǀŝŶĚŽƐ�ĚŽ�ĐĂŵƉŽ�ĚĞŝdžĂƌĂŵ�
ƐƵĂ� ĐƵůƚƵƌĂ� Ğ� ƐĞ� ĂĚĂƉƚĂƌĂŵ� Ă� ŽƵƚƌĂ͕� ĐŝƚĂĚŝŶĂ͕�
ƚŽƚĂůŵĞŶƚĞ�ĚŝĨĞƌĞŶƚĞ�Ğ�ŽƉŽƐƚĂ�ĂŽƐ�ƐĞƵƐ�ǀĂůŽƌĞƐ͘
D ƚĂŶƚŽ�Ž�ĞƐƉĂĕŽ�ƵƌďĂŶŽ�ƋƵĂŶƚŽ�Ž� ƌƵƌĂů� ƐŽĨƌĞƌĂŵ�
ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ� ĚĞĐŽƌƌĞŶƚĞƐ� ĚĂ� ĂƉůŝĐĂĕĆŽ� ĚĞ�
ŶŽǀĂƐ� ƚĞĐŶŽůŽŐŝĂƐ� ăƐ� ĂƟǀŝĚĂĚĞƐ� ŝŶĚƵƐƚƌŝĂŝƐ� Ğ�
ĂŐƌşĐŽůĂƐ͘
E ŽƐ� ŵŝŐƌĂŶƚĞƐ� ĐŚĞŐĂƌĂŵ� ăƐ� ŐƌĂŶĚĞƐ� ĐŝĚĂĚĞƐ�
ƚƌĂnjĞŶĚŽ� ĐŽŶƐŝŐŽ� ǀĂůŽƌĞƐ� Ğ� ƚƌĂĚŝĕƁĞƐ͕� ƋƵĞ� ůŚĞƐ�
ƉŽƐƐŝďŝůŝƚĂƌĂŵ� ŵĂŶƚĞƌ� ŝŶƚĂĐƚĂ� ƐƵĂ� ĐƵůƚƵƌĂ͕� ƚĂů�
ĐŽŵŽ�ƐĞ�ŵĂŶŝĨĞƐƚĂǀĂ�ŶĂƐ�ƉĞƋƵĞŶĂƐ�ĐŝĚĂĚĞƐ�Ğ�ŶŽ�
ŵĞŝŽ�ƌƵƌĂů͘
*R1720148*
9
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COMPONENTE ESPECÍFICO
QUESTÃO DISCURSIVA 3
hŵ� ĐŽŶƐƵŵŝĚŽƌ� ƌĞŐŝƐƚƌŽƵ� ƋƵĞŝdžĂ� ũƵŶƚŽ� ă� ĞŵƉƌĞƐĂ� ĚĞ� ĚŝƐƚƌŝďƵŝĕĆŽ� ĚĞ� ĞŶĞƌŐŝĂ� ĞůĠƚƌŝĐĂ� ƉŽƌ� ĐĂƵƐĂ� ĚĂ� ĨŽƌƚĞ�
ŽƐĐŝůĂĕĆŽ� ĚŽ� ďƌŝůŚŽ� ĚĞ� ůąŵƉĂĚĂƐ� ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ� Ğŵ� ƐƵĂ� ƌĞƐŝĚġŶĐŝĂ͘� ^ĞŐƵŶĚŽ� Ž� ƌĞĐůĂŵĂŶƚĞ͕� ŝƐƐŽ� ŽĐŽƌƌŝĂ�
ĚĞǀŝĚŽ�ĂŽ�ƵƐŽ�ĚĞ�ĞƋƵŝƉĂŵĞŶƚŽƐ�ĚĞ�ƐŽůĚĂ�ĞůĠƚƌŝĐĂ�Ğŵ�ƵŵĂ�ŽĮĐŝŶĂ�ǀŝnjŝŶŚĂ�ĂŽ�ƐĞƵ�ĚŽŵŝĐşůŝŽ͘
^ĂďĞŶĚŽ� ƋƵĞ� ĞƐƐĞƐ� ĞƌĂŵ� ŽƐ� ĚŽŝƐ� ƷŶŝĐŽƐ� ĐŽŶƐƵŵŝĚŽƌĞƐ� ĐŽŶĞĐƚĂĚŽƐ� ĂŽ� ƚƌĂŶƐĨŽƌŵĂĚŽƌ� ĚĞ� ĚŝƐƚƌŝďƵŝĕĆŽ� ĚĞ�
ĞŶĞƌŐŝĂ͕�Ƶŵ�ĞŶŐĞŶŚĞŝƌŽ�ĚĂ�ĐŽŶĐĞƐƐŝŽŶĄƌŝĂ�ĨŽŝ�ĞŶǀŝĂĚŽ�ƉĂƌĂ�ĨĂnjĞƌ�ƵŵĂ�ǀĞƌŝĮĐĂĕĆŽ͘��ůĞ�ŝŶƐƚĂůŽƵ�Ƶŵ�ĂŶĂůŝƐĂĚŽƌ�
ĚĞ�ĞŶĞƌŐŝĂ�ƋƵĞ�ƌĞŐŝƐƚƌŽƵ͕�ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ͕�Ă�ƚĞŶƐĆŽ�ŶŽ�ƉŽŶƚŽ�ĚĞ�ĐŽŶĞdžĆŽ�ĚĂ�ƌĞƐŝĚġŶĐŝĂ�;sƌĞƐͿ�ĚŽ�ĐŽŶƐƵŵŝĚŽƌ�
ƋƵĞ�ĨĞnj�Ă�ƋƵĞŝdžĂ�Ğ�Ă�ĐŽƌƌĞŶƚĞ�ĐŽŶƐƵŵŝĚĂ�ƉĞůĂ�ŽĮĐŝŶĂ�;/ŽĨͿ͘��ƵƌĂŶƚĞ�Ă�ŵĞĚŝĕĆŽ͕�ƚŽĚĂƐ�ĂƐ�ĐĂƌŐĂƐ�ĚĂ�ƌĞƐŝĚġŶĐŝĂ�
ĞƐƚĂǀĂŵ�ĚĞƐůŝŐĂĚĂƐ͘
�ŵ�Ƶŵ�ĚŽƐ�ƌĞŐŝƐƚƌŽƐ�ŽďƟĚŽƐ�ĚƵƌĂŶƚĞ�ĂƐ�ŵĞĚŝĕƁĞƐ͕�ŽƐ�ƉĂĚƌƁĞƐ�ĚĞ�ƚĞŶƐĆŽ�Ğ�ĐŽƌƌĞŶƚĞ�ŵŽƐƚƌĂƌĂŵ�ƵŵĂ�ĐŽƌƌĞŶƚĞ�
ĚĞ�ϭϬϬ��͕�ĐŽƌƌĞƐƉŽŶĚĞŶƚĞ�Ă�ƵŵĂ�ƋƵĞĚĂ�ĚĞ�ƚĞŶƐĆŽ�ĚĞ�ϮϬ�s͘ �EĞƐƐĂ�ƐŝƚƵĂĕĆŽ͕�Ž�ĨĂƚŽƌ�ĚĞ�ƉŽƚġŶĐŝĂ�ŵĞĚŝĚŽ�ĨŽŝ�
ŝŶĚƵƟǀŽ�ĐŽŵ�ǀĂůŽƌ�ŶƵůŽ͘���ƚĞŶƐĆŽ�ŵĞĚŝĚĂ�Ğŵ�sƌĞƐ͕�ƋƵĂŶĚŽ�Ă�ĐŽƌƌĞŶƚĞ�ĚĂ�ŽĮĐŝŶĂ�ƚĂŵďĠŵ�ĞƌĂ�ŶƵůĂ͕�ĨŽŝ�ŝŐƵĂů�
Ă�ϮϮϬ�s͘ �dŽĚŽƐ�ŽƐ�ǀĂůŽƌĞƐ�ƐĆŽ�ĞĮĐĂnjĞƐ͘
WĂƌĂ� ĞdžƉůŝĐĂƌ� Ž� ƋƵĞ� ĂĐŽŶƚĞĐŝĂ͕� Ž� ĞŶŐĞŶŚĞŝƌŽ� ĚĞƐĞŶŚŽƵ�Ž� ĐŝƌĐƵŝƚŽ� ĞƋƵŝǀĂůĞŶƚĞ�ŵŽƐƚƌĂĚŽ�ŶĂ�ĮŐƵƌĂ� ĂďĂŝdžŽ͘�
/ŶĨŽƌŵŽƵ�ƋƵĞ�y>�ƐĞ�ƌĞĨĞƌŝĂ�ĂŽ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ�ĚŽ�ƚƌĂŶƐĨŽƌŵĂĚŽƌ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ�;ƌĞĂƚąŶĐŝĂ�ĚĞ�ĚŝƐƉĞƌƐĆŽͿ͘�
�ĮƌŵŽƵ�ƚĂŵďĠŵ�ƋƵĞ�ĚĞƐĐŽŶƐŝĚĞƌŽƵ�ŽƐ�ĐĂďŽƐ�ĚĞ�ĐŽŶĞdžĆŽ�ĞŶƚƌĞ�Ž�ƚƌĂŶƐĨŽƌŵĂĚŽƌ�Ğ�ŽƐ�ƉŽŶƚŽƐ�ĚĞ�ŵĞĚŝĕĆŽ͕�
ƉŽŝƐ�ĞƌĂŵ�ĚŝƐƚąŶĐŝĂƐ�ƌĞůĂƟǀĂŵĞŶƚĞ�ŵƵŝƚŽ�ĐƵƌƚĂƐ͘
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕�ĨĂĕĂ�Ž�ƋƵĞ�ƐĞ�ƉĞĚĞ�ŶŽƐ�ŝƚĞŶƐ�Ă�ƐĞŐƵŝƌ͘
ĂͿ� �ĞƚĞƌŵŝŶĞ�Ž�ŵſĚƵůŽ�ĚĂ�ƚĞŶƐĆŽ�s͘ �;ǀĂůŽƌ͗�ϰ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� �ĞƐĞŶŚĞ͕�Ğŵ�ĞƐĐĂůĂ͕�Ž�ĚŝĂŐƌĂŵĂ�ĨĂƐŽƌŝĂů�ĐŽŵ�ĂƐ�ƚƌġƐ�ƚĞŶƐƁĞƐ�;sdž͕�sƌĞƐ�Ğ�sͿ�Ğ�Ă�ĐŽƌƌĞŶƚĞ�ĚĂ�ŽĮĐŝŶĂ�;/ŽĨͿ�ĚŽ�
ĐŝƌĐƵŝƚŽ�ĞƋƵŝǀĂůĞŶƚĞ͕�ƉĂƌĂ�Ă�ĐŽŶĚŝĕĆŽ�ĚĞ�ĐŽƌƌĞŶƚĞ�ŝŶĚŝĐĂĚĂ�;ϭϬϬ��Ϳ͕�ƚŽŵĂŶĚŽ�ĐŽŵŽ�ƌĞĨĞƌġŶĐŝĂ�Ă�ƚĞŶƐĆŽ�s�
;ĨĂƐĞ�ϬΣͿ�ŶĂ�ĨŽŶƚĞ͘�;ǀĂůŽƌ͗�ϲ͕Ϭ�ƉŽŶƚŽƐͿ
*R1720149*
10
�E'�E,�Z/���>�dZ/��
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R17201410*
11
�E'�E,�Z/���>�dZ/��
QUESTÃO DISCURSIVA 4
��Į�ŐƵƌĂ�Ă�ƐĞŐƵŝƌ�ŝůƵƐƚƌĂ�Ƶŵ�ŵŽƚŽƌ�ĚĞ�ŝŶĚƵĕĆŽ�ƚƌŝĨĄƐŝĐŽ�ĂĐŝŽŶĂĚŽ�ƉŽƌ�Ƶŵ�ŝŶǀĞƌƐŽƌ�ĚĞ�ĨƌĞƋƵġŶĐŝĂ͕�ĐƵũĂ�ĞŶƚƌĂĚĂ�
Ġ�ůŝŐĂĚĂ�ă�ƌĞĚĞ�ĐŽŵ�ĨƌĞƋƵġŶĐŝĂ�ĐŽŶƐƚĂŶƚĞ�Ğ�ŝŐƵĂů�Ă�ϲϬ�,nj͘�WĞůĂ�ǀĂƌŝĂĕĆŽ�ĚĂ�ĐŽƌƌĞŶƚĞ�ĚĞ�ƌĞĨĞƌġŶĐŝĂ�;/Z�&Ϳ�ĚĞ�ϰ�Ă�
ϮϬ�ŵ�͕�Ă�ǀĞůŽĐŝĚĂĚĞ�ĚĞ�ƌŽƚĂĕĆŽ�ĚŽ�ŵŽƚŽƌ�ǀĂƌŝĂ�ůŝŶĞĂƌŵĞŶƚĞ�ĚĞ�Ϭ�Ă�Ϯ�ϬϬϬ�ƌƉŵ͘
Motor
Trifásico
Inversor
���NŸ
1 V
���NŸ ����Ÿ
60 Hz
REF
+
–
+
–
+–
��ĐŽƌƌĞŶƚĞ�ĚĞ�ƌĞĨĞƌġŶĐŝĂ�ƉƌŽǀĠŵ�ĚĞ�Ƶŵ�ĐŝƌĐƵŝƚŽ�ĂŶĂůſŐŝĐŽ�ĐŽŵ�ĂŵƉůŝĮ�ĐĂĚŽƌĞƐ�ŽƉĞƌĂĐŝŽŶĂŝƐ�ŶĂƐ�ĐŽŶĮ�ŐƵƌĂĕƁĞƐ�
͞ĂŵƉůŝĮ�ĐĂĚŽƌ� ŝŶǀĞƌƐŽƌ͟�Ğ�͞ĐŽŶǀĞƌƐŽƌ�ƚĞŶƐĆŽ�ĐŽƌƌĞŶƚĞ͘͟ ���ĞŶƚƌĂĚĂ�ĚŽ�ĂŵƉůŝĮ�ĐĂĚŽƌ� ŝŶǀĞƌƐŽƌ�Ġ� ůŝŐĂĚĂ�Ă�ƵŵĂ�
ĨŽŶƚĞ�ĚĞ�ƚĞŶƐĆŽ�ĐŽŶƐƚĂŶƚĞ�Ğ�ŝŐƵĂů�Ă�ϭ�s͘
�ŽŶƐŝĚĞƌĂŶĚŽ�ĞƐƐĞ�ƐŝƐƚĞŵĂ͕�ĐĂůĐƵůĞ�Ž�ǀĂůŽƌ�ĚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ĚŽ�ƉŽƚĞŶĐŝƀŵĞƚƌŽ�ƋƵĞ�ůĞǀĂƌĄ�Ž�ŵŽƚŽƌ�ă�ƌŽƚĂĕĆŽ�ĚĞ�
ϭ�ϬϬϬ�ƌƉŵ͕�ũƵƐƟ�Į�ĐĂŶĚŽ�ƐƵĂ�ƌĞƐƉŽƐƚĂ͘�;ǀĂůŽƌ͗�ϭϬ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R17201411*
12
�E'�E,�Z/���>�dZ/��
QUESTÃO DISCURSIVA 5
K�ŐƌĄĮ�ĐŽ�ĂďĂŝdžŽ�ŵŽƐƚƌĂ�Ă�ƌĞƐƉŽƐƚĂ�Ğŵ�ĨƌĞƋƵġŶĐŝĂ͕�,;ĨͿ͕�ĚĞ�Ƶŵ�ƐŝƐƚĞŵĂ�ůŝŶĞĂƌ�Ğ�ŝŶǀĂƌŝĂŶƚĞ�ŶŽ�ƚĞŵƉŽ͘�K�ĞŝdžŽ�
ǀĞƌƟ�ĐĂů�ƌĞƉƌĞƐĞŶƚĂ�Ă�ƌĞůĂĕĆŽ�ĚŽƐ�ǀĂůŽƌĞƐ�ĚĞ�ƚĞŶƐĆŽ�ĞĮ�ĐĂnj�ĞŶƚƌĞ�ƐĂşĚĂ�Ğ�ĞŶƚƌĂĚĂ�ĚŽ�ƐŝƐƚĞŵĂ�Ğŵ�ĨƵŶĕĆŽ�ĚĂ�
ĨƌĞƋƵġŶĐŝĂ�Ĩ͘ ��ĞƐƐĞ�ŵŽĚŽ͕�ƉĂƌĂ�ĨƌĞƋƵġŶĐŝĂƐ�Ĩ�ŵĞŶŽƌĞƐ�ĚŽ�ƋƵĞ�Ĩ��͕�Ž�ǀĂůŽƌ�ĚĂ�ƚĞŶƐĆŽ�ĞĮ�ĐĂnj�ŶĂ�ƐĂşĚĂ�ĚŝǀŝĚŝĚŽ�ƉĞůŽ�ǀĂůŽƌ�ĚĂ�ƚĞŶƐĆŽ�ĞĮ�ĐĂnj�ŶĂ�ĞŶƚƌĂĚĂ�ĚŽ�ƐŝƐƚĞŵĂ�ǀĂůĞ��͘
A
B
A
H(f)
f Bf f
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ĂͿ� �ŽŶƐŝĚĞƌĂŶĚŽ���с�ϭ͕�ĚĞƚĞƌŵŝŶĞ�Ž�ǀĂůŽƌ�ĚĞ���ƉĂƌĂ�ƋƵĞ�ŽĐŽƌƌĂ�ƵŵĂ�ĂƚĞŶƵĂĕĆŽ�ĚĞ�ϲϬ�Ě��ĞŶƚƌĞ�ĞŶƚƌĂĚĂ�Ğ�
ƐĂşĚĂ�ƉĂƌĂ�ĨƌĞƋƵġŶĐŝĂƐ�ĂĐŝŵĂ�ĚĞ�Ĩ�͕�ĂƉƌĞƐĞŶƚĂŶĚŽ�ŽƐ�ĐĄůĐƵůŽƐ�ƌĞĂůŝnjĂĚŽƐ͘�;ǀĂůŽƌ͗�ϰ͕Ϭ�ƉŽŶƚŽƐͿ
ďͿ� �ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ĩ��с�ϯ͕ϴ�Ŭ,nj͕�Ĩ��с�ϰ͕Ϭ�Ŭ,nj�Ğ�ƋƵĞ�ĞƐƐĞ�ƐŝƐƚĞŵĂ�ƐĞƌĄ�ƵƟ�ůŝnjĂĚŽ�ĐŽŵŽ�Į�ůƚƌŽ�ŝŵĞĚŝĂƚĂŵĞŶƚĞ�
ĂŶƚĞƐ�ĚĞ�Ƶŵ�ĐŽŶǀĞƌƐŽƌ�ĂŶĂůſŐŝĐŽͲĚŝŐŝƚĂů�ƉĂƌĂ�Ž�ƉƌŽĐĞƐƐĂŵĞŶƚŽ�ĚŝŐŝƚĂů�ĚŽƐ�ƐŝŶĂŝƐ�ƉƌŽĚƵnjŝĚŽƐ͕�ƋƵĂů�ĚĞǀĞƌĄ�
ƐĞƌ�Ă�ŵşŶŝŵĂ�ĨƌĞƋƵġŶĐŝĂ�ĚĞ�ĂŵŽƐƚƌĂŐĞŵ�ĂĚŽƚĂĚĂ�ƉĂƌĂ�ƐĞ�ƌĞĚƵnjŝƌ�ĐŽƌƌĞƚĂŵĞŶƚĞ�Ă�ƐŽďƌĞƉŽƐŝĕĆŽ�ĞƐƉĞĐƚƌĂů�
;aliasingͿ͍�:ƵƐƟ�Į�ƋƵĞ�ƐƵĂ�ƌĞƐƉŽƐƚĂ͘�;ǀĂůŽƌ͗�ϰ͕Ϭ�ƉŽŶƚŽƐͿ
ĐͿ� ��ƉĂƌƟ�ƌ�ĚĂƐ�ŝŶĨŽƌŵĂĕƁĞƐ�ĂƉƌĞƐĞŶƚĂĚĂƐ�ŶŽƐ�ŝƚĞŶƐ�;ĂͿ�Ğ�;ďͿ͕�ŝŶĚŝƋƵĞ�Ž�Ɵ�ƉŽ�ĚĞ�Į�ůƚƌŽ�ƋƵĞ�ŵĞůŚŽƌ�ĐĂƌĂĐƚĞƌŝnjĂ�
ĞƐƐĞ�ĐŽŵƉŽƌƚĂŵĞŶƚŽ�ĚĞ�ƌĞƐƉŽƐƚĂ�Ğŵ�ĨƌĞƋƵġŶĐŝĂ͘�;ǀĂůŽƌ͗�Ϯ͕Ϭ�ƉŽŶƚŽƐͿ
RASCUNHO
1
2
ϯ
4
5
6
7
ϴ
9
10
11
12
ϭϯ
14
15
*R17201412*
ϭϯ
�E'�E,�Z/���>�dZ/��
QUESTÃO 09
^ƵƉŽŶŚĂ�ƋƵĞ�Ă�ĚŝƐƚąŶĐŝĂ�ƉĞƌĐŽƌƌŝĚĂ�ƉŽƌ�Ƶŵ�ĐŝĐůŝƐƚĂ�
ƋƵĞ� ƉĞĚĂůĂ� ƌĞŐƵůĂƌŵĞŶƚĞ� ƉŽĚĞ� ƐĞƌ� ŝŶĨĞƌŝĚĂ� ƉĞůĂ�
ǀĂƌŝĄǀĞů�ĂůĞĂƚſƌŝĂ�x͕�ĐŽŵ�ĚĞŶƐŝĚĂĚĞ�ĚĞ�ƉƌŽďĂďŝůŝĚĂĚĞ�
ŶŽƌŵĂů͕
f(x;μ, σ2) =
1√
2πσ2
e−
(x−μ)2
2σ2
ĐŽŵ� μ = 25km e σ2 = 25km2 ͘� �� ĚƵƌĂĕĆŽ�ŵĠĚŝĂ� ĚŽ�
ƐĞƵ�ƚƌĞŝŶŽ�Ġ�ĚĞ�ϭŚϭϱŵŝŶ͘
�Žŵ�ďĂƐĞ�ŶĞƐƐĞƐ�ĚĂĚŽƐ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ĂďĂŝdžŽ͘
/͘� �� ǀĞůŽĐŝĚĂĚĞ� ŵĠĚŝĂ� ĚĞ� ĐĂĚĂ� ƚƌĞŝŶŽ� Ġ� ĚĞ�
Ϯϭ͕ϳ�ŬŵͬŚ͘
//͘� ��ĚŝƐƚąŶĐŝĂ�ŵĠĚŝĂ�ƉĞƌĐŽƌƌŝĚĂ�Ğŵ�ĐĂĚĂ�ƚƌĞŝŶŽ�
Ġ�ĚĞ�Ϯϱ�Ŭŵ͘
///͘� ��ĄƌĞĂ�ŵĠĚŝĂ�ƉĞƌĐŽƌƌŝĚĂ�Ğŵ�ĐĂĚĂ�ƚƌĞŝŶŽ�Ġ�ĚĞ�
Ϯϱ�Ŭŵ2.
/s͘ � ��ĚŝƐƚąŶĐŝĂ�ƉĞƌĐŽƌƌŝĚĂ�ĚĞ�ĐĂĚĂ�ƚƌĞŝŶŽ͕�Ğŵ�Ƶŵ�
ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕�ĞƐƚĄ�ĞŶƚƌĞ�ϮϬ�Ŭŵ�Ğ�ϯϬ�Ŭŵ͘
V. �� ǀĞůŽĐŝĚĂĚĞ�ŵĠĚŝĂ� ĚĞ� ĐĂĚĂ� ƚƌĞŝŶŽ͕� Ğŵ� Ƶŵ�
ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕�ĞƐƚĄ�ĞŶƚƌĞ�ϭϲ�ŬŵͬŚ�Ğ�Ϯϰ�ŬŵͬŚ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͘
B /�Ğ�/s͘
C //�Ğ�///͘
D ///�Ğ�s͘
E //͕�/s�Ğ�s͘
ÁREA LIVRE
QUESTÃO 10
�ĞŶŽŵŝŶĂŵͲƐĞ�ĐĂƌŐĂƐ�ŽƐ�ĞůĞŵĞŶƚŽƐ�ĚĞ�Ƶŵ�ĐŝƌĐƵŝƚŽ�
ĞůĠƚƌŝĐŽ� ƋƵĞ� ƐĞ� ŽƉƁĞŵ� ă� ƉĂƐƐĂŐĞŵ� ĚĞ� ĐŽƌƌĞŶƚĞ�
ĞůĠƚƌŝĐĂ͘��ƐƐĞŶĐŝĂůŵĞŶƚĞ͕�ĚŝƐƟŶŐƵĞŵͲƐĞ�ƚƌġƐ�ƟƉŽƐ�ĚĞ�
ĐĂƌŐĂƐ͗� ƌĞƐŝƐƟǀĂƐ͕� ĐĂƉĂĐŝƟǀĂƐ� Ğ� ŝŶĚƵƟǀĂƐ͘� �Ɛ� ĐĂƌŐĂƐ�
ƌĞƐŝƐƟǀĂƐ�ĚŝƐƐŝƉĂŵ�ĞŶĞƌŐŝĂ͕�ĞŶƋƵĂŶƚŽ�ĂƐ�ƉƵƌĂŵĞŶƚĞ�
ĐĂƉĂĐŝƟǀĂƐ�ŽƵ�ƉƵƌĂŵĞŶƚĞ�ŝŶĚƵƟǀĂƐ�ƐĆŽ�ĐŽŶƐŝĚĞƌĂĚĂƐ�
ĂƌŵĂnjĞŶĂĚŽƌĂƐ�ĚĞ�ĞŶĞƌŐŝĂ͘
+
�
L2
L1
L3
1F
12 V
1H
^e�Ž�ĐŝƌĐƵŝƚŽ�ŵŽƐƚƌĂĚŽ�ĂĐŝŵĂ�Ġ�ĂůŝŵĞŶƚĂĚŽ�ƉŽƌ�ƵŵĂ�
ĨŽŶƚĞ�ĚĞ�ƚĞŶƐĆŽ�ĐŽŶơŶƵĂ�ĚĞ�ϭϮ�s�Ğ�ĂƐ�ůąŵƉĂĚĂƐ�ƐĆŽ�
ĚĞ�ϭϮ�sͬϲ�t͕�ŽďƐĞƌǀĂͲƐĞ�ƋƵĞ͕�Ğŵ�ƌĞŐŝŵĞ�ƉĞƌŵĂŶĞŶƚĞ͕
A ĂƐ� ƚƌġƐ� ůąŵƉĂĚĂƐ͕� >ϭ͕� >Ϯ�Ğ�>ϯ͕�ĮĐĂƌĆŽ�ĂƉĂŐĂĚĂƐ͕�
ƉŽŝƐ� ůąŵƉĂĚĂƐ� ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ� Ɛſ� ŽƉĞƌĂŵ� ĐŽŵ�
ĐŽƌƌĞŶƚĞ�ĂůƚĞƌŶĂĚĂ͘
B ƐŽŵĞŶƚĞ�>Ϯ�Ğ�>ϯ�ĮĐĂƌĆŽ�ĂĐĞƐĂƐ͕�ƉŽŝƐ�Ă�ĐŽƌƌĞŶƚĞ�
ƋƵĞ�ƉĂƐƐĂ�Ğŵ�>Ϯ�Ġ�Ă�ƐŽŵĂ�ĚĂƐ�ĐŽƌƌĞŶƚĞƐ�Ğŵ�>ϯ�Ğ�
ŶŽ�ŝŶĚƵƚŽƌ͘
C ĂƐ�ƚƌġƐ�ůąŵƉĂĚĂƐ͕�>ϭ͕�>Ϯ�Ğ�>ϯ͕�ĮĐĂƌĆŽ�ĂĐĞƐĂƐ͕�ƉŽŝƐ�
ĞƐƚĆŽ�ůŝŐĂĚĂƐ�ă�ĨŽŶƚĞ�ĚĞ�ĂůŝŵĞŶƚĂĕĆŽ͘
D ƐŽŵĞŶƚĞ�>Ϯ�ĮĐĂƌĄ�ĂĐĞƐĂ͕�ƉŽŝƐ�ĞƐƚĄ�Ğŵ�ƐĠƌŝĞ�ĐŽŵ�Ă�
ĨŽŶƚĞ�ĚĞ�ĂůŝŵĞŶƚĂĕĆŽ͘
E ƐŽŵĞŶƚĞ�>ϭ�ĮĐĂƌĄ�ĂĐĞƐĂ͕�ƉŽŝƐ�ĞƐƚĄ�Ğŵ�ƐĠƌŝĞ�ĐŽŵ�Ž�
ĐĂƉĂĐŝƚŽƌ͘
ÁREA LIVRE
*R17201413*
14
�E'�E,�Z/���>�dZ/��
QUESTÃO 11 
����K�;�ĞŵĂŶĚĂ��ŝŽƋƵşŵŝĐĂ�ĚĞ�KdžŝŐġŶŝŽͿ�ĚĞ�ƵŵĂ�ĂŵŽƐƚƌĂ�ĚĞ�ĄŐƵĂ�Ġ�Ă�ƋƵĂŶƟ�ĚĂĚĞ�ĚĞ�ŽdžŝŐġŶŝŽ�ŶĞĐĞƐƐĄƌŝĂ�
ƉĂƌĂ�ŽdžŝĚĂƌ�Ă�ŵĂƚĠƌŝĂ�ŽƌŐąŶŝĐĂ�ƉŽƌ�ĚĞĐŽŵƉŽƐŝĕĆŽ�ĂĞƌſďŝĂ͘�YƵĂŶĚŽ�Ă�ĂŵŽƐƚƌĂ�Ġ�ŐƵĂƌĚĂĚĂ�ƉŽƌ�ϱ�ĚŝĂƐ�Ğŵ�ƵŵĂ�
ƚĞŵƉĞƌĂƚƵƌĂ�ĚĞ�ŝŶĐƵďĂĕĆŽ�ĚĞ�ϮϬΣ�͕�ĞůĂ�Ġ�ƌĞĨĞƌŝĚĂ�ĐŽŵŽ���Kϱ͕ϮϬ͕�ƋƵĞ�Ġ�ŶŽƌŵĂůŵĞŶƚĞ�ƵƟ�ůŝnjĂĚĂ�ĐŽŵŽ�Ƶŵ�ĚŽƐ�
ƉĂƌąŵĞƚƌŽƐ�ƉĂƌĂ�ǀĞƌŝĮ�ĐĂĕĆŽ�ĚĂ�ƋƵĂůŝĚĂĚĞ�ĚĂ�ĄŐƵĂ͘
K�ƐĞŐƵŝŶƚĞ�ƋƵĂĚƌŽ�ĐůĂƐƐŝĮ�ĐĂ�Ƶŵ�ĐƵƌƐŽ�Ě Ą͛ŐƵĂ�Ğŵ�ĨƵŶĕĆŽ�ĚĂ�ƐƵĂ���Kϱ͕ϮϬ
�ůĂƐƐŝĮ�ĐĂĕĆŽ DBO5,20 (mg/L)
DƵŝƚŽ�ůŝŵƉŽ �ƚĠ�ϭ
>ŝŵƉŽ DĂŝŽƌ�ƋƵĞ�ϭ�ĂƚĠ�Ϯ
ZĂnjŽĄǀĞů DĂŝŽƌ�ƋƵĞ�Ϯ�ĂƚĠ�ϰ
ZƵŝŵ DĂŝŽƌ�ƋƵĞ�ϰ�ĂƚĠ�ϲ
WĠƐƐŝŵŽ DĂŝŽƌ�ƋƵĞ�ϲ
��ŝŵĂŐĞŵ�ĂďĂŝdžŽ�ŵŽƐƚƌĂ�Ƶŵ�ƚƌĞĐŚŽ�ĚĞ�Ƶŵ�ƌŝŽ�ĐŽŵ�ϱ�ƐĞĕƁĞƐ�;y͕�z͕ �͕�t�Ğ�dͿ͕�Ğŵ�ƋƵĞ�ƐĆŽ�ĐŽůĞƚĂĚĂƐ�ĂŵŽƐƚƌĂƐ�
ĚĞ�ĄŐƵĂ�ƉĂƌĂ�Ă�ĚĞƚĞƌŵŝŶĂĕĆŽ�ĚĞ���Kϱ͕ϮϬ�Ğŵ�ůĂďŽƌĂƚſƌŝŽ͘
Ponto de
lançamento de
esgoto
Ponto de
lançamento de
esgoto
Ponto de
lançamento de
esgoto
X Y Z W T
Imagem sem escala
Q
K�ƋƵĂĚƌŽ�ĂďĂŝdžŽ�ĂƉƌĞƐĞŶƚĂ�ŽƐ�ƌĞƐƵůƚĂĚŽƐ͕�Ğŵ�ĚŝĨĞƌĞŶƚĞƐ�ƵŶŝĚĂĚĞƐ͕�ĚĂƐ�ĂŵŽƐƚƌĂƐ�ĐŽůŚŝĚĂƐ͘
Seção DBO5,20
X Ϭ͕ϰ�Őͬŵϯ
Y ϯ�ϴϱϬ�ŵŐͬŵϯ
Z Ϯ�ϱϬϬ�ŵŐͬŵϯ
W ϯ�ϬϬϬ�ŵŐͬŵϯ
T Ϭ͕Ϭϭ�ŬŐͬŵϯ
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�ƉŽĚĞ�ŽĐŽƌƌĞƌ�ĂƵƚŽĚĞƉƵƌĂĕĆŽ�ŶŽ�ƌŝŽ͕�Ğŵ�ƋƵĂů�ƐĞĕĆŽ�ĚĞůĞ�Ă�ĄŐƵĂ�ŶĆŽ�ƉŽĚĞ�ƐĞƌ�ĐůĂƐƐŝĮ�ĐĂĚĂ͕�
ŶŽ�ŵşŶŝŵŽ͕�ĐŽŵŽ�͞ƌĂnjŽĄǀĞů͍͟
A y͘
B z͘
C ͘
D t͘
E d͘
*R17201414*
15
�E'�E,�Z/���>�dZ/��
QUESTÃO 12 
hŵ�ĂŵďŝĞŶƚĞ�ƚĞƌŵŝĐĂŵĞŶƚĞ�ĐŽŶĨŽƌƚĄǀĞů�Ġ�ƵŵĂ�ĚĂƐ�
ĐŽŶĚŝĕƁĞƐ�ƋƵĞ�ĚĞǀĞŵ�ƐĞƌ�ĐŽŶƐŝĚĞƌĂĚĂƐ�Ğŵ�ƉƌŽũĞƚŽƐ�
ĚĞ�ĞĚŝĮ�ĐĂĕƁĞƐ͘���Į�ŵ�ĚĞ�ƉƌŽũĞƚĂƌ�Ƶŵ�ĂŵďŝĞŶƚĞ�ŝŶƚĞƌŶŽ�
ĐŽŵ� ƚĞŵƉĞƌĂƚƵƌĂ� ĚĞ� ϮϬΣ�� ƉĂƌĂ� ƵŵĂ� ƚĞŵƉĞƌĂƚƵƌĂ�
ĞdžƚĞƌŶĂ�ŵĠĚŝĂ�ĚĞ�ϯϱΣ�͕�Ƶŵ�ĞŶŐĞŶŚĞŝƌŽ�ĐŽŶƐŝĚĞƌŽƵ͕�
ŶŽ�ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ͕�Ƶŵ�Ň�ƵdžŽ�ĚĞ�ĐĂůŽƌ�ĂƚƌĂǀĠƐ�ĚĞ�
ƵŵĂ�ƉĂƌĞĚĞ�ĞdžƚĞƌŶĂ�ĚĞ�ϭϬϱ�tͬŵϸ͕�ĐŽŶĨŽƌŵĞ�ŝůƵƐƚƌĂ�
Ă�Į�ŐƵƌĂ�ĂďĂŝdžŽ͘
Tint = 20°C
20 cm
Text = 35°C
105 W/m2
��ƚĂďĞůĂ�Ă�ƐĞŐƵŝƌ�ĂƉƌĞƐĞŶƚĂ�ŽƐ�ǀĂůŽƌĞƐ�ĚĂ�ĐŽŶĚƵƟ�ǀŝĚĂĚĞ�
ƚĠƌŵŝĐĂ�ƉĂƌĂ�ĂůŐƵŶƐ�ŵĂƚĞƌŝĂŝƐ�ĚĞ�ĐŽŶƐƚƌƵĕĆŽ͘
Material
�ŽŶĚƵƟ�ǀŝĚĂĚĞ�
térmica
O (W.m�1.K�1)
�ŽŶĐƌĞƚŽ ϭ͕ϰϬ
WĞĚƌĂ�ŶĂƚƵƌĂů ϭ͕ϬϬ
WůĂĐĂ�ĚĞ�ĂŐůŽŵĞƌĂĚŽ�ĚĞ�Į�ďƌĂƐ�ĚĞ�ŵĂĚĞŝƌĂ Ϭ͕ϮϬ
WůĂĐĂ�ĚĞ�ŵĂĚĞŝƌĂ�ƉƌĞŶƐĂĚĂ Ϭ͕ϭϬ
WůĂĐĂ�ĐŽŵ�ĞƐƉƵŵĂ�ƌşŐŝĚĂ�ĚĞ�ƉŽůŝƵƌĞƚĂŶŽ Ϭ͕Ϭϯ
�^^K�/���K��Z�^/>�/Z�����EKZD�^�d��E/��^͘�E�Z�ϭϱϮϮϬͲϭ͗�
�ĞƐĞŵƉĞŶŚŽ�ƚĠƌŵŝĐŽ�ĚĞ�ĞĚŝĨŝĐĂĕƁĞƐ�Ͳ�WĂƌƚĞ�ϭ͗��ĞĨŝŶŝĕƁĞƐ͕�
ƐşŵďŽůŽƐ�Ğ�ƵŶŝĚĂĚĞƐ͘�ZŝŽ�ĚĞ�:ĂŶĞŝƌŽ͕�ϮϬϬϱ͕�Ɖ͘�ϴ�;ĂĚĂƉƚĂĚŽͿ͘
��Į�ŵ�ĚĞ� ƐĞ�ŽďƚĞƌ� Ă� ƚĞŵƉĞƌĂƚƵƌĂ� ŝŶƚĞƌŶĂ�ĚĞƐĞũĂĚĂ͕�
ƋƵĂů� ĚĞǀĞ� ƐĞƌ� Ž� ŵĂƚĞƌŝĂů� ƐĞůĞĐŝŽŶĂĚŽ͕� ĞŶƚƌĞ� ŽƐ�
ĂƉƌĞƐĞŶƚĂĚŽƐ�ŶĂ�ƚĂďĞůĂ�ĂĐŝŵĂ͕�ƉĂƌĂ�ĐŽŵƉŽƐŝĕĆŽ�ĚĂ�
ƉĂƌĞĚĞ�ĞdžƚĞƌŶĂ͍
A �ŽŶĐƌĞƚŽ͘
B WĞĚƌĂ�ŶĂƚƵƌĂů͘
C WůĂĐĂ�ĚĞ�ŵĂĚĞŝƌĂ�ƉƌĞŶƐĂĚĂ͘
D WůĂĐĂ�ĐŽŵ�ĞƐƉƵŵĂ�ƌşŐŝĚĂ�ĚĞ�ƉŽůŝƵƌĞƚĂŶŽ͘
E WůĂĐĂ�ĚĞ�ĂŐůŽŵĞƌĂĚŽ�ĚĞ�Į�ďƌĂƐ�ĚĞ�ŵĂĚĞŝƌĂ͘
QUESTÃO 13 
�ŶŐĞŶŚĞŝƌŽƐ�ĚĞ�ƵŵĂ�ĞŵƉƌĞƐĂ�ŚŽůĂŶĚĞƐĂ�ĞŶĐŽŶƚƌĂƌĂŵ�
ƵŵĂ�ŵĂŶĞŝƌĂ�ĚĞ�ĨĂnjĞƌ�ĐŽŵ�ƋƵĞ�ŽƐ�ĞůĞǀĂĚŽƌĞƐ�ƚĞƌƌĞƐƚƌĞƐ�
ƐƵďĂŵ� ĂƚĠ� Ž� ƚŽƉŽ� ĚĞ� ĞĚŝİ�ĐŝŽƐ� ĐŽŵ� ϭ� ϬϬϬ�ŵĞƚƌŽƐ� ĚĞ�
ĂůƚƵƌĂ͕�ƉŽŝƐ�ŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ƵƐĂĚŽƐ�ŶŽƐ�ĞůĞǀĂĚŽƌĞƐ�ĂƚƵĂŝƐ�
Ɛſ�ĐŽŶƐĞŐƵĞŵ�ĂůĕĄͲůŽƐ�Ă�ĂůƚƵƌĂƐ�ĚĞ͕�ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ͕�
ϱϬϬ� ŵĞƚƌŽƐ͘� /ƐƐŽ� ƐĞƌĄ� ƉŽƐƐşǀĞů� ĐŽŵ� Ă� ĐƌŝĂĕĆŽ� ĚĞ� Ƶŵ�
ŶŽǀŽ�ĐĂďŽ�ƐƵƉĞƌůĞǀĞ�Ğ�ƐƵƉĞƌĨŽƌƚĞ͕�ŽƵ�ƐĞũĂ͕�ƵŵĂ�ĞƐƉĠĐŝĞ�
ĚĞ�ĐŝŶƚĂ͕�ƚĞĐŝĚĂ�ĐŽŵ�Į�ďƌĂƐ�ĚĞ�ĐĂƌďŽŶŽ͘��ŵ�ǀĞnj�ĚŽƐ�Į�ŽƐ�
ĚĞ�ĂĕŽ�ĞŶƚƌĞůĂĕĂĚŽƐ�ƵƐĂĚŽƐ�ŶŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ĐŽŵƵŶƐ͕�
Ă�ĐŝŶƚĂ�Ġ�ĨŽƌŵĂĚĂ�ƉŽƌ�ƋƵĂƚƌŽ�Į�ƚĂƐ�ĚĞ�Į�ďƌĂ�ĚĞ�ĐĂƌďŽŶŽ�
ƐĞůĂĚĂƐ�Ğŵ�ƉůĄƐƟ�ĐŽ�ƚƌĂŶƐƉĂƌĞŶƚĞ͘�K�ƉůĄƐƟ�ĐŽ�Ġ�ŶĞĐĞƐƐĄƌŝŽ�
ƉĂƌĂ�ƉƌŽƚĞŐĞƌ�ĚŽ�ĂƚƌŝƚŽ�ĂƐ�Į�ďƌĂƐ�ĚĞ�ĐĂƌďŽŶŽ�Ğ�ĂƵŵĞŶƚĂƌ�
Ă�ǀŝĚĂ�ƷƟ�ů�ĚŽ�ĐŽŶũƵŶƚŽ͘��ĂĚĂ�Į�ƚĂ�ƚĞŵ�ϰ�ĐĞŶơ�ŵĞƚƌŽƐ�ĚĞ�
ůĂƌŐƵƌĂ�ƉŽƌ�ϰ�ŵŝůşŵĞƚƌŽƐ�ĚĞ�ĞƐƉĞƐƐƵƌĂ͘��ůĂƐ�ƐĆŽ�ƉĂƌĞĐŝĚĂƐ�
ĐŽŵ� ƵŵĂ� ƌĠŐƵĂ� ĞƐĐŽůĂƌ� Ň�ĞdžşǀĞů͘� �ƐƐĞ� ŶŽǀŽ� ŵĂƚĞƌŝĂů�
ƐƵƉĞƌĂ�ůŝŐĞŝƌĂŵĞŶƚĞ�Ă�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚĞŶƐĆŽ�ĚŽ�ĂĕŽ͕�ŵĂƐ�
ƉĞƐĂ�ƐĞƚĞ�ǀĞnjĞƐ�ŵĞŶŽƐ�ƋƵĞ�Ž�ĂƚƵĂůŵĞŶƚĞ�ƵƐĂĚŽ͘��ƐƐŝŵ͕�
Ă� ĨŽƌĕĂ� ŐĂƐƚĂ� ƉĂƌĂ� ƐƵƐƚĞŶƚĂƌ� Ž� ƉĞƐŽ� ĚŽ� ƉƌſƉƌŝŽ� ĐĂďŽ�
ƉĂƐƐĂ�Ă�ƐĞƌ�ĂƉůŝĐĂĚĂ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�ĂƉĞŶĂƐ�Ž�ĞůĞǀĂĚŽƌ͕ �Ğ�
Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĞŶĞƌŐŝĂ�ĚŽƐ�ĞůĞǀĂĚŽƌĞƐ�ƚĂŵďĠŵ�Ġ�ĐĞƌĐĂ�
ĚĞ�ϭϱй�ŵĞŶŽƌ�ĚŽ�ƋƵĞ�ŽƐ�ĂŶƚĞƌŝŽƌĞƐ͘
��ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩ�Ɖ͗ͬͬǁǁǁ͘ŝŶŽǀĂĐĂŽƚĞĐŶŽůŽŐŝĐĂ͘ĐŽŵ͘ďƌх͘�
�ĐĞƐƐŽ�Ğŵ͗�Ϯϳ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
dĞŶĚŽ� Ğŵ� ǀŝƐƚĂ� Ă� ƐŝƚƵĂĕĆŽ� ĚĞƐĐƌŝƚĂ͕� ĂǀĂůŝĞ� ĂƐ�
ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K� ĐĂďŽ�ĚĞ�Į�ďƌĂ�ĚĞ� ĐĂƌďŽŶŽ� ƐƵƉŽƌƚĂ�ĞůĞǀĂĚĂƐ�
ĐĂƌŐĂƐ�ĚĞǀŝĚŽ�ă�ƐƵĂ�ĞůĞǀĂĚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚƌĂĕĆŽ͘
//͘� �� Į�ďƌĂ� ĚĞ� ĐĂƌďŽŶŽ� ƚŽƌŶĂ� Ž� ĐĂďŽ� ďĞŵ�ŵĂŝƐ�
Ň�ĞdžşǀĞů͕�Ž�ƋƵĞ͕�ĂůŝĂĚŽ�Ă�ƐƵĂ�ƌĞƐŝƐƚġŶĐŝĂ�ă�ƚƌĂĕĆŽ͕�
ƉƌŽƉŽƌĐŝŽŶĂ� Ă� ĞƐƐĞ� ŵĂƚĞƌŝĂů� ƵŵĂ� ǀĂŶƚĂŐĞŵ�
Ğŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ�ĐŽŶǀĞŶĐŝŽŶĂŝƐ͘
///͘� �� ƌĞůĂĕĆŽ� ƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ�ĚŽ� ĐĂďŽ�ĚĞ�Į�ďƌĂ�ĚĞ�
ĐĂƌďŽŶŽ�ĂƐƐĞŐƵƌĂ�ǀĂŶƚĂŐĞŵ�ĚĞƐƐĞ�ŵĂƚĞƌŝĂů�Ğŵ�
ƌĞůĂĕĆŽ�ĂŽƐ�ĐĂďŽƐ�ĚĞ�ĂĕŽ �͕ƉŽŝƐ�Ă�ĞĐŽŶŽŵŝĂ�ĚŽ�ƉĞƐŽ�
ƉƌſƉƌŝŽ�ĚŽ�ĐĂďŽ�ƉŽĚĞ�ƐĞƌ�ƵƐĂĚĂ�ƉĂƌĂ�ƐƵƐƚĞŶƚĂƌ�Ž�
ĞůĞǀĂĚŽƌ�Ğ�ƌĞĚƵnjŝƌ�Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĞŶĞƌŐŝĂ͘
/s͘ � �ƉĞƐĂƌ� ĚĂ� ƌĞƐŝƐƚġŶĐŝĂ� ă� ƚĞŶƐĆŽ� ƐĞƌ� ĂƉĞŶĂƐ�
ůŝŐĞŝƌĂŵĞŶƚĞ� ŵĂŝŽƌ� ŶŽ� ĐĂďŽ� ĚĞ� Į�ďƌĂ� ĚĞ�
ĐĂƌďŽŶŽ͕�Ă�ǀĂŶƚĂŐĞŵ�ƉƌŝŶĐŝƉĂů�ĚĞ�ƐĞƵ�ƵƐŽ�Ġ�Ă�
ĂůƚĂ�ƌĞůĂĕĆŽ�ƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /͘
B //͘
C /�Ğ�///͘
D //�Ğ�/s͘
E ///�Ğ�/s͘
*R17201415*
16
�E'�E,�Z/���>�dZ/��
QUESTÃO 14
K�ƚƌĂŶƐƉŽƌƚĞ�ĚĞ�Ƶŵ�ŇƵŝĚŽ�ĞŶƚƌĞ�ĚŽŝƐ�ƉŽŶƚŽƐ�ŶŽ�ŝŶƚĞƌŝŽƌ�
ĚĞ�Ƶŵ�ƚƵďŽ�ŽĐŽƌƌĞ�ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ͕�ĐŽŵ�ƉĞƌĚĂ�ĚĞ�
ĞŶĞƌŐŝĂ͕�ĚĞǀŝĚŽ�ĂŽ�ĂƚƌŝƚŽ�ĚŽ�ŇƵŝĚŽ�ĐŽŵ�Ă�ƉĂƌĞĚĞ�Ğ�ĂŽ�ĞƐĐŽĂŵĞŶƚŽ�ƚƵƌďƵůĞŶƚŽ͘�WŽƌƚĂŶƚŽ͕�ƋƵĂŶƚŽ�ŵĂŝŽƌ�ĨŽƌ�
Ă�ƌƵŐŽƐŝĚĂĚĞ�ĚĂ�ƉĂƌĞĚĞ�ĚĂ�ƚƵďƵůĂĕĆŽ�ŽƵ�ŵĂŝƐ�ǀŝƐĐŽƐŽ�
ĨŽƌ�Ž�ŇƵŝĚŽ͕�ŵĂŝŽƌ�ƐĞƌĄ�Ă�ƉĞƌĚĂ�ĚĞ�ĞŶĞƌŐŝĂ͘���ĨŽƌŵĂ�
ĚĞ�ĚĞƚĞƌŵŝŶĂĕĆŽ�ĚŽ�ĨĂƚŽƌ�ĚĞ�ĂƚƌŝƚŽ�ĨŽŝ�ĞƐƚĂďĞůĞĐŝĚĂ�
Ğŵ�ϭϵϯϵ͕�ƉŽƌ�ŝŶƚĞƌŵĠĚŝŽ�ĚĂ�ĞƋƵĂĕĆŽ�ĚĞ��ŽůĞďƌŽŽŬͲ
tŚŝƚĞ͕�ĂƉƌĞƐĞŶƚĂĚĂ�Ă�ƐĞŐƵŝƌ͘
1√
f
= −2 log10
(
k
3, 7D
+
2, 51
Re
√
f
)
Ğŵ�ƋƵĞ
f���Ġ�Ž�ĨĂƚŽƌ�ĚĞ�ĂƚƌŝƚŽ�ĚĞ��ĂƌĐLJͲtĞŝƐďĂĐŚ�;ĂĚŝŵĞŶƐŝŽŶĂůͿ͖
k�Ġ�Ă�ƌƵŐŽƐŝĚĂĚĞ�ĞƋƵŝǀĂůĞŶƚĞ�ĚĂ�ƉĂƌĞĚĞ�ĚŽ�ƚƵďŽ�;ŵͿ͖
D Ġ�Ž�ĚŝąŵĞƚƌŽ�ŝŶƚĞƌŶŽ�ĚŽ�ƚƵďŽ�;ŵͿ͖
Re�Ġ�Ž�ŶƷŵĞƌŽ�ĚĞ�ZĞLJŶŽůĚƐ�;ĂĚŝŵĞŶƐŝŽŶĂůͿ͘
�� ƌĞƐŽůƵĕĆŽ� ĚĞƐƐĂ� ĞƋƵĂĕĆŽ� ƌĞƋƵĞƌ� Ƶŵ� ƉƌŽĐĞƐƐŽ�
ŝƚĞƌĂƟǀŽ͕�ƉŽŝƐ�Ă�ĨƵŶĕĆŽ�Ġ�ŝŵƉůşĐŝƚĂ�Ğŵ�ƌĞůĂĕĆŽ�ĂŽ�ĨĂƚŽƌ�
ĚĞ�ĂƚƌŝƚŽ�;ƉƌĞƐĞŶƚĞ�ŶŽƐ�ĚŽŝƐ�ŵĞŵďƌŽƐ�ĚĂ�ĞƋƵĂĕĆŽͿ͘�
�ŵ�ϭϵϯϵ͕�Ă�ƌĞƐŽůƵĕĆŽ�ĚĞ�ĞƋƵĂĕƁĞƐ�ƉŽƌ�ƉƌŽĐĞĚŝŵĞŶƚŽƐ�
ŝƚĞƌĂƟǀŽƐ� ĚĞŵĂŶĚĂǀĂ� ĞdžĐĞƐƐŽ� ĚĞ� ƚĞŵƉŽ͕� ŵĂƐ͕�
ĐŽŵ� Ž� ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ĚŽƐ� ĐŽŶŚĞĐŝŵĞŶƚŽƐ� ĚĞ�
ĐŽŵƉƵƚĂĕĆŽ͕�ĞƐƐĞ�ƉƌŽďůĞŵĂ�ĨŽŝ�ƐŽůƵĐŝŽŶĂĚŽ͘
�Ɛ�ĞƚĂƉĂƐ�ĚĞ�Ƶŵ�ĂůŐŽƌŝƚŵŽ�ƋƵĞ�ƐŽůƵĐŝŽŶĂ�Ă�ĞƋƵĂĕĆŽ͕�
ƐĞŵ�ŽƌĚĞŶĂĕĆŽ� ůſŐŝĐĂ͕� ĂƐƐŝŵ� ĐŽŵŽ� ƐĞƵ�ŇƵdžŽŐƌĂŵĂ�
ƐĆŽ�ĂƉƌĞƐĞŶƚĂĚŽƐ�Ă�ƐĞŐƵŝƌ͘ �
�Ϳ�D с�ϭ
�Ϳ�f
0с�Ϭ͕Ϭϯ
�Ϳ�/ŶşĐŝŽ
�Ϳ� �ĄůĐƵůŽ� ĚĞ� f1� ĂƚƌĂǀĠƐ� ĚĂ� ĞƋƵĂĕĆŽ� ĚĞ� �ŽůĞďƌŽŽŬͲ
tŚŝƚĞ
�Ϳ�ͮ�f0� f1ͮ�ф�Ϭ͕ϬϬϬϬϭ
&Ϳ�dĠƌŵŝŶŽ
'Ϳ�Reс�ϭϬ�ϬϬϬ
,Ϳ�k с�Ϭ͕ϬϬϬϭ
/Ϳ���f0с� f1
:Ϳ�sŝƐƵĂůŝnjĂĕĆŽ�ĚŽ�ƌĞƐƵůƚĂĚŽ
1
2
3
4
5
6
7
8
9
10
�Žŵ� ďĂƐĞ� ŶĞƐƐĂƐ� ŝŶĨŽƌŵĂĕƁĞƐ͕� ǀĞƌŝĮĐĂͲƐĞ� ƋƵĞ� Ă�
ƐŽůƵĕĆŽ�ĚĂ�ĞƋƵĂĕĆŽ�Ġ�ŽďƟĚĂ�ƉĞůĂ�ƐĞŐƵŝŶƚĞ�ĂƐƐŽĐŝĂĕĆŽ�
ĚĂƐ�ĞƚĂƉĂƐ�ĚŽ�ĂůŐŽƌŝƚŵŽ�ĐŽŵ�Ž�ŇƵdžŽŐƌĂŵĂ
A
1 2 ϯ 4 5 6 7 ϴ 9 10
� � , ' � � � : / F
B
1 2 ϯ 4 5 6 7 ϴ 9 10
� , � ' � � � : F /
C
1 2 ϯ 4 5 6 7 ϴ 9 10
� ' � , � � : � / F
D
1 2 ϯ 4 5 6 7 ϴ 9 10
� � � , ' � : � F /
E
1 2 ϯ 4 5 6 7 ϴ 9 10
� � ' , � � � : / F
*R17201416*
17
�E'�E,�Z/���>�dZ/��
QUESTÃO 15
KďƐĞƌǀĞ� Ž� ƉƌŽŐƌĂŵĂ� ĐůĂƐƐŝĮĐĂĚŽƌ� ;͞ƐŽƌƚ͟Ϳ͕� Ğŵ�
ƉƐĞƵĚŽĐſĚŝŐŽ͕�ĂƉƌĞƐĞŶƚĂĚŽ�ĂďĂŝdžŽ͘
�ƐƐĞ�ƉƌŽŐƌĂŵĂ�ĐůĂƐƐŝĮĐĂ͕�Ğŵ�ŽƌĚĞŵ
A ĚĞĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ�Ğ�ŶŽŵĞƐ�ĚĞ�ĂůƵŶŽƐ�
ĚĞ�ŵĞƐŵĂ�ŶŽƚĂ͘
B ĂůĨĂďĠƟĐĂ�ĐƌĞƐĐĞŶƚĞ͕�ŶŽŵĞƐ�Ğ�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ�ĚĞ�
ŵĞƐŵŽ�ŶŽŵĞ͘
C ĚĞĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ͘
D ĂůĨĂďĠƟĐĂ�ĐƌĞƐĐĞŶƚĞ͕�ŶŽŵĞƐ�ĚĞ�ĂůƵŶŽƐ͘
E ĐƌĞƐĐĞŶƚĞ͕�ŶŽƚĂƐ�ĚĞ�ĂůƵŶŽƐ͘
ÁREA LIVRE
QUESTÃO 16
hŵĂ� ŝŶĚƷƐƚƌŝĂ� ĚĞ� ďůŽĐŽƐ� ĐĞƌąŵŝĐŽƐ� ƉƌĞƚĞŶĚĞ�
ƵƟůŝnjĂƌ�ƋƵĞŝŵĂ�ĚĞ�ďŝŽŵĂƐƐĂ� ƌĞƐƵůƚĂŶƚĞ�ĚĞ� ƌĞƐşĚƵŽƐ�
ĚĞ� ŵĂĚĞŝƌĂ͕� ƉĂƌĂ� ŐĞƌĂƌ� ĞŶĞƌŐŝĂ� ƚĠƌŵŝĐĂ� ƉĂƌĂ� ƐĞƵƐ�
ĨŽƌŶŽƐ͕� ƋƵĞ͕� ĂƚƵĂůŵĞŶƚĞ͕� ƵƟůŝnjĂŵ� ŐĄƐ� ŶĂƚƵƌĂů͘� dĂů�
ŝŶŝĐŝĂƟǀĂ�ƉŽĚĞƌĄ�ƌĞĚƵnjŝƌ�Ž�ĐŽŶƐƵŵŽ�ĚĞ�ĐŽŵďƵƐơǀĞů͕�
ƉŽƌĠŵ�ƐĞƌĄ�ŶĞĐĞƐƐĄƌŝŽ�Ƶŵ�ŝŶǀĞƐƟŵĞŶƚŽ�ŶŽ�ǀĂůŽƌ�ĚĞ�
ϮϬй�ĚŽ�ĐŽŶƐƵŵŽͬĂŶŽ�ĂƚƵĂů�ĚĞ�ĐŽŵďƵƐơǀĞů͕�ǀŝƐĂŶĚŽ�
ă� ĂĚĂƉƚĂĕĆŽ� ĚŽƐ� ĨŽƌŶŽƐ͘� �ůĠŵ� ĚŝƐƐŽ͕� Ž� ƚƌĂŶƐƉŽƌƚĞ�
ĂŶƵĂů�ĚŽƐ�ƌĞƐşĚƵŽƐ�ĚĂ�ĨŽŶƚĞ�ŐĞƌĂĚŽƌĂ�ĂƚĠ�Ă�ŝŶĚƷƐƚƌŝĂ�
ŝƌĄ�ĐƵƐƚĂƌ�ϱй�ĚŽ�ĐŽŶƐƵŵŽͬĂŶŽ�ĂƚƵĂů�ĚĞ�ĐŽŵďƵƐơǀĞů͘�
�ƐƟŵĂͲƐĞ� ƋƵĞ� ĞƐƐĂ� ĂůƚĞƌĂĕĆŽ� ƉƌŽŵŽǀĂ� ƵŵĂ�
ĞĐŽŶŽŵŝĂ͕� ŶŽ� ĐŽŶƐƵŵŽͬĂŶŽ� ĂƚƵĂů� ĚĞ� ĐŽŵďƵƐơǀĞů͕�
ĚĞ�ϭϬй�ĂŽ�ĂŶŽ͘
��ƉĂƌƟƌ�ĚĂ�ƐŝƚƵĂĕĆŽ�ĚĞƐĐƌŝƚĂ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�
ƐĞŐƵŝƌ͘
/͘� ��ƉĂƌƟƌ�ĚŽ�ƋƵŝŶƚŽ�ĂŶŽ͕�Ă�ŝŶĚƷƐƚƌŝĂ�ĐŽŵĞĕĂƌŝĂ�
Ă�ƚĞƌ�ďĞŶĞİĐŝŽƐ�ĞĐŽŶƀŵŝĐŽƐ͘
//͘� EĂ� ƉƌŽƉŽƐƚĂ� ĂƉƌĞƐĞŶƚĂĚĂ͕� Ă� ŝŶĚƷƐƚƌŝĂ�
ƐƵďƐƟƚƵŝƌŝĂ�Ž�ĐŽŵďƵƐơǀĞů�ĂƚƵĂů�ƉŽƌ�ƵŵĂ�ĨŽŶƚĞ�
ĚĞ�ĞŶĞƌŐŝĂ�ĐŽŵ�ŵĞŶŽƌ�ƉƌŽĚƵĕĆŽ�Ğ�ĞŵŝƐƐĆŽ�ĚĞ�
ƉĂƌơĐƵůĂƐ�ĚĞǀŝĚŽ�ĂŽ�ƉƌŽĐĞƐƐŽ�ĚĞ�ĐŽŵďƵƐƚĆŽ�
;ƉĂƌƟĐƵůĂĚŽƐͿ͘
///͘� EĂ� ƉƌŽƉŽƐƚĂ� ĂƉƌĞƐĞŶƚĂĚĂ͕� Ă� ŝŶĚƷƐƚƌŝĂ�
ƐƵďƐƟƚƵŝƌŝĂ�Ž�ĐŽŵďƵƐơǀĞů�ĂƚƵĂů�ƉŽƌ�ƵŵĂ�ĨŽŶƚĞ�
ƌĞŶŽǀĄǀĞů�ĚĞ�ĞŶĞƌŐŝĂ͘
/s͘ � K�ǀĂůŽƌ�ĚŽ�ŝŶǀĞƐƟŵĞŶƚŽ�ƐƵƉĞƌĂ�ŽƐ�ďĞŶĞİĐŝŽƐ�
ƉƌŽŵŽǀŝĚŽƐ�ĐŽŵ�Ă�ĞĐŽŶŽŵŝĂ�ĚĞ�ĐŽŵďƵƐơǀĞů�
ĚƵƌĂŶƚĞ�ŽƐ�ϱ�ƉƌŝŵĞŝƌŽƐ�ĂŶŽƐ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A //͘
B /s͘
C /�Ğ�//͘
D /�Ğ�///͘
E ///�Ğ�/s͘
ÁREA LIVRE
*R17201417*
ϭϴ
�E'�E,�Z/���>�dZ/��
QUESTÃO 17
�džŝƐƚĞŵ�ĐŽŶƚƌŽǀĠƌƐŝĂƐ�ĂĐĞƌĐĂ�ĚĂ�ŵĂŐŶŝƚƵĚĞ�ĚŽƐ�ĨĂƚŽƌĞƐ�ƋƵĞ�ŝŶŇƵĞŶĐŝĂŵ�Ž�ǀŽƚŽ�ĚŽ�ĞůĞŝƚŽƌ͘ ��ŵďŽƌĂ͕�ĂƚƵĂůŵĞŶƚĞ͕�
ĂƐ�ƉĞƐƋƵŝƐĂƐ�ĞůĞŝƚŽƌĂŝƐ�ƉŽƐƐĂŵ�ƐĞƌ�ĚŝǀƵůŐĂĚĂƐ�ƉƌſdžŝŵŽ�ĂŽ�ĚŝĂ�ĚĂ�ĞůĞŝĕĆŽ͕�ĚƵƌĂŶƚĞ�ŵƵŝƚŽ�ƚĞŵƉŽ�ĞƐƐĂ�ĚŝǀƵůŐĂĕĆŽ�
ŶĆŽ�ĞƌĂ�ƉĞƌŵŝƟĚĂ�ƐŽď�Ă�ĂůĞŐĂĕĆŽ�ĚĞ�ƋƵĞ�ĂƐ�ŵĞƐŵĂƐ�ŝŶŇƵĞŶĐŝĂǀĂŵ�Ă�ĚĞĐŝƐĆŽ�ĚĞ�Ƶŵ�ƟƉŽ�ƉĂƌƟĐƵůĂƌ�ĚĞ�ĞůĞŝƚŽƌ͕ �
Ž�ƋƵĂů�ĚĞƐĞũĂǀĂ�͞ǀŽƚĂƌ�ŶŽ�ĐĂŶĚŝĚĂƚŽ�ŐĂŶŚĂĚŽƌ͟�Ğ�ƚĞŶĚŝĂ�Ă�ǀŽƚĂƌ�ŶŽƐ�ĐĂŶĚŝĚĂƚŽƐ�ĐƵũĂ�ƐƵƉŽƐƚĂ�ƉƌŽďĂďŝůŝĚĂĚĞ�
ĚĞ�ǀŝƚſƌŝĂ�Ġ�ŵĂŝŽƌ͕ �ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ�ĚŽ�ĐŽŶƚĞƷĚŽ�ĚĂ�ƉƌŽƉŽƐƚĂ�ƉŽůşƟĐĂ�ĂƉƌĞƐĞŶƚĂĚĂ͘
0
5
15
25
35
45
55
60
P
or
ce
nt
ag
em
 d
e 
Vo
to
s
Candidato
A
Candidato
B
Gráfico I
40
45
50
55
60
P
or
ce
nt
ag
em
 d
e 
Vo
to
s
Candidato
A
Candidato
B
Gráfico II
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž��ĂŶĚŝĚĂƚŽ���ĞƐƚĞũĂ�ŝŶƚĞƌĞƐƐĂĚŽ�ŶŽ�ǀŽƚŽ�ĚŽ�ƟƉŽ�ĚĞ�ĞůĞŝƚŽƌ�ŵĞŶĐŝŽŶĂĚŽ�ŶŽ�ƚĞdžƚŽ�Ğ�ĞƐƚĞũĂ�
ĞdžĂŵŝŶĂŶĚŽ�ŽƐ�ĚŽŝƐ�ŐƌĄĮĐŽƐ�ĂĐŝŵĂ�ƉĂƌĂ�ĂƉƌĞƐĞŶƚĂƌ͕ �Ğŵ�ƐĞƵ�ŵĂƚĞƌŝĂů�ĚĞ�ƉƌŽƉĂŐĂŶĚĂ͕�ŽƐ�ƌĞƐƵůƚĂĚŽƐ�ĚĞ�ƵŵĂ�
ƉĞƐƋƵŝƐĂ�ĞůĞŝƚŽƌĂů͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�ƋƵĞ�ƐĞ�ƐĞŐƵĞŵ͘
/͘� KƐ�ĚŽŝƐ�ŐƌĄĮĐŽƐ�ĂƉƌĞƐĞŶƚĂŵ�ƌĞƐƵůƚĂĚŽƐ�ĚŝĨĞƌĞŶƚĞƐ͘
//͘� �ŵ�ƌĞůĂĕĆŽ�ĂŽƐ�ŽďũĞƟǀŽƐ�ĚŽ��ĂŶĚŝĚĂƚŽ��͕�Ž�ŐƌĄĮĐŽ�/�Ġ�ŵĂŝƐ�ĂĚĞƋƵĂĚŽ�ƋƵĞ�Ž�//͘
///͘� ��ĚĞĐŝƐĆŽ�Ă�ƐĞƌ�ƚŽŵĂĚĂ�ĂƉƌĞƐĞŶƚĂ�ŝŵƉůŝĐĂĕƁĞƐ�ĚĞ�ŶĂƚƵƌĞnjĂ�ĠƟĐĂ͕�ĂůĠŵ�ĚĂƐ�ĚĞ�ŶĂƚƵƌĞnjĂ�ƚĠĐŶŝĐĂ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
QUESTÃO 18
EŽ��ƌĂƐŝů͕�Ġ�ĐŽŵĞƌĐŝĂůŝnjĂĚĂ�ƵŵĂ�ĐĂĚĞŝƌĂ�ĚĞ�ƌŽĚĂƐ�ĚĞ�ĂůƵŵşŶŝŽ�ĐŽŵ�ƉĞƐŽ�ĂƉƌŽdžŝŵĂĚŽ�ĚĞ�ϭϮ�ŬŐ͕�ƋƵĞ�ƌĞƉƌĞƐĞŶƚĂ�
ĐĞƌĐĂ� ĚĂ�ŵĞƚĂĚĞ�ĚŽ� ƉĞƐŽ� ĚĞ� Ƶŵ�ŵŽĚĞůŽ� ĐŽŶǀĞŶĐŝŽŶĂů͘� �ŽŶƐƚƌƵşĚĂ� Ğŵ�ĞƐƚƌƵƚƵƌĂ� ƚƵďƵůĂƌ� ĚĞ� ƵŵĂ� ůŝŐĂ� ĚĞ�
ĂůƵŵşŶŝŽ�ĂĞƌŽŶĄƵƟĐŽ͕�ĞƐƐĂ�ĐĂĚĞŝƌĂ�ĚĞ�ƌŽĚĂƐ�ƉŽƐƐƵŝ�ĂůƚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ŵĞĐąŶŝĐĂ͕�ĂůĠŵ�ĚĞ�ƚĞƌ�ĐƵƐƚŽ�ƌĞĚƵnjŝĚŽ͘
�ŝƐƉŽŶşǀĞů�Ğŵ͗фŚƩƉ͗ͬͬǁǁǁ͘ŚŽƐƉŝƚĂůĂƌ͘ĐŽŵх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϲ�ũƵů͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
K�ĂůƵŵşŶŝŽ�ĂĞƌŽŶĄƵƟĐŽ�ƉŽƐƐƵŝ�ƵŵĂ�ĐŽŵďŝŶĂĕĆŽ�ƷŶŝĐĂ�ĚĞ�ƉƌŽƉƌŝĞĚĂĚĞƐ�ƋƵĞ�Ž�ƚŽƌŶĂ�Ƶŵ�ŵĂƚĞƌŝĂů�ĚĞ�ĐŽŶƐƚƌƵĕĆŽ�
ǀĞƌƐĄƟů͕�ĂůƚĂŵĞŶƚĞ�ƵƟůŝnjĄǀĞů�Ğ�ĂƚƌĂƟǀŽ͘��ƐƐĂƐ�ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�ƐĆŽ�ĚĞǀŝĚĂƐ�Ă�ƋƵĂŝƐ�ƉƌŽƉƌŝĞĚĂĚĞƐ͍
A �ůƚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ŵĞĐąŶŝĐĂ�Ğ�ďĂŝdžĂ�ĚĞŶƐŝĚĂĚĞ͘
B �ĂŝdžĂ�ƉůĂƐƟĐŝĚĂĚĞ�Ğ�ĂůƚŽ�ƉŽŶƚŽ�ĚĞ�ĨƵƐĆŽ͘
C �ůƚĂ�ĚƵƌĞnjĂ�Ă�ƋƵĞŶƚĞ�Ğ�ďĂŝdžĂ�ĚƵƟůŝĚĂĚĞ͘
D �ĂŝdžĂ�ƉůĂƐƟĐŝĚĂĚĞ�Ğ�ĂůƚĂ�ƐŽůĚĂďŝůŝĚĂĚĞ͘
E �ůƚĂ�ĚƵƌĞnjĂ�Ğ�ĂůƚĂ�ĚĞŶƐŝĚĂĚĞ͘
*R17201418*
19
�E'�E,�Z/���>�dZ/��
QUESTÃO 19 
hŵ�ƚƌĂŶƐĨŽƌŵĂĚŽƌ�ŵŽŶŽĨĄƐŝĐŽ�ĐŽŶƐŝƐƚĞ�ĞƐƐĞŶĐŝĂůŵĞŶƚĞ�ĚĞ�ĚƵĂƐ�ďŽďŝŶĂƐ�ĐŽŵ�ŶƷĐůĞŽ�ĐŽŵƵŵ͘��ůŝŵĞŶƚĂŶĚŽ�
Ƶŵ�ĚŽƐ�ĞŶƌŽůĂŵĞŶƚŽƐ�ĐŽŵ�ƚĞŶƐĆŽ�ĂůƚĞƌŶĂĚĂ͕�ĐŽŵ�Ž�ƌĞƐƉĞĐƟ�ǀŽ�ǀĂůŽƌ�ĚĞ�ƚĞŶƐĆŽ�ŶŽŵŝŶĂů͕� ƚĞŵͲƐĞ�Ƶŵ�Ň�ƵdžŽ�
ŵĂŐŶĠƟ�ĐŽ�ǀĂƌŝĄǀĞů�ƋƵĞ͕�ĂŐŝŶĚŽ�ŶŽ�ŝŶƚĞƌŝŽƌ�ĚŽ�ŶƷĐůĞŽ͕�ĂƟ�ŶŐĞ�Ž�ŽƵƚƌŽ�ĞŶƌŽůĂŵĞŶƚŽ͕�ƉƌŽǀŽĐĂŶĚŽ�Ž�ĂƉĂƌĞĐŝŵĞŶƚŽ�
ĚĞ�ƵŵĂ�ƚĞŶƐĆŽ�ĂůƚĞƌŶĂĚĂ�ŶĞƐƐĞ�ĞŶƌŽůĂŵĞŶƚŽ�ƉŽƌ�ĐŽŶƚĂ�ĚĂ�ŝŶĚƵĕĆŽ�ŵĂŐŶĠƟ�ĐĂ͘�K�ŶƷĐůĞŽ�ĚŽ�ƚƌĂŶƐĨŽƌŵĂĚŽƌ�
ŵŽŶŽĨĄƐŝĐŽ� ŶŽƌŵĂůŵĞŶƚĞ� Ġ� ĐŽŶƐƟ�ƚƵşĚŽ� ĚĞ�ŵĂƚĞƌŝĂů� ĨĞƌƌŽŵĂŐŶĠƟ�ĐŽ� Ğ� Ž� Ň�ƵdžŽ�ŵĂŐŶĠƟ�ĐŽ� ǀĂƌŝĄǀĞů� ĂƚƵĂƌĄ�
ƚĂŵďĠŵ�ƐŽďƌĞ�Ž�ŶƷĐůĞŽ�Ğ�ƉƌŽĚƵnjŝƌĄ�ĐŽƌƌĞŶƚĞƐ�ŝŶĚƵnjŝĚĂƐ�;ƉĂƌĂƐŝƚĂƐͿ�ŶĞƐƐĞ�ĨĞƌƌŽ͘�WĂƌĂ�ŵŝŶŝŵŝnjĂƌ�ŽƐ�ĞĨĞŝƚŽƐ�ĚĂƐ�
ĐŽƌƌĞŶƚĞƐ�ƉĂƌĂƐŝƚĂƐ�ƐĆŽ�ƵƟ�ůŝnjĂĚĂƐ�ĐŚĂƉĂƐ�ĚĞ�ĨĞƌƌŽ�ŵĂŐŶĠƟ�ĐŽ͕�ĚĞ�ĞƐƉĞƐƐƵƌĂ�ƌĞĚƵnjŝĚĂ͕�ŝƐŽůĂĚĂƐ�ĞůĞƚƌŝĐĂŵĞŶƚĞ�
ƵŵĂ�ĚĂ�ŽƵƚƌĂ�Ğ�ŵŽŶƚĂĚĂƐ�Ğŵ�ĨŽƌŵĂ�ĚĞ�ŶƷĐůĞŽ͘�
�ŽŶƐŝĚĞƌĞ�Ƶŵ� ƚƌĂŶƐĨŽƌŵĂĚŽƌ�ŵŽŶŽĨĄƐŝĐŽ�ϮϮϬsͬϭϭϬs͕� ϲϬ�,nj͕� ƋƵĞ�ƉŽƐƐƵŝ� Ƶŵ�ŶƷĐůĞŽ� ĨŽƌŵĂĚŽ�ƉŽƌ� ůąŵŝŶĂƐ�
ĚĞ�ŵĂƚĞƌŝĂů�ĨĞƌƌŽͲƐŝůşĐŝŽ�;&ĞͲ^ŝͿ͕�ĐŽŶĨŽƌŵĞ�ŝůƵƐƚƌĂĚŽ�ŶĂ�Į�ŐƵƌĂ�ϭ�Ğ�ƋƵĞ�ĞƐƚĄ�ŽƉĞƌĂŶĚŽ�Ă�ǀĂnjŝŽ͕�ĐŽŵ�Ž�ƉƌŝŵĄƌŝŽ�
ĂůŝŵĞŶƚĂĚŽ�ĐŽŵ�ŽƐ�ǀĂůŽƌĞƐ�ŶŽŵŝŶĂŝƐ�ĚĞ�ƚĞŶƐĆŽ�Ğ�ĨƌĞƋƵġŶĐŝĂ͘
Primário
&ůƵdžŽ�ŵĂŐŶĠƟĐŽ
^ĞĐƵŶĚĄƌŝŽ
EƷĐůĞŽ�ĚĞ
ĨĞƌƌŽ�ůĂŵŝŶĂĚŽ
&ŝŐƵƌĂ�ϭ�ʹ�dƌĂŶƐĨŽƌŵĂĚŽƌ�ŵŽŶŽĨĄƐŝĐŽ�ʹ�ŶƷĐůĞŽ�ůĂŵŝŶĂĚŽ͘
^ĂďĞͲƐĞ�ĂŝŶĚĂ�ƋƵĞ�Ă�ĚĞŶƐŝĚĂĚĞ�ĚĞ�Ň�ƵdžŽ�ŵĄŐŶĠƟ�ĐŽ�;BmaxͿ�Ğŵ�ĨƵŶĕĆŽ�ĚĂƐ�ƉĞƌĚĂƐ�ƉŽƌ�ƋƵŝůŽŐƌĂŵĂ�ĚĞ�ŵĂƚĞƌŝĂů͕�
Ğŵ�ϲϬ�,nj͕�ǀĂƌŝĂ�ĐŽŶĨŽƌŵĞ�ŵŽƐƚƌĂĚŽ�ŶĂ�Į�ŐƵƌĂ�Ϯ͘
2.2
2.0
1.8
1.6
1.4
1.2
1.0
0.8
0.6
0.4
0.2
0
0.0001 0.001 0.01 0.1
P , W/kg
1 10
c
B
,
2
W
b/
m
m
ax
&ŝŐƵƌĂ�Ϯ�ʹ��ĞŶƐŝĚĂĚĞ�ĚĞ�Ň�ƵdžŽ�ŵĄŐŶĠƟ�ĐŽ�;BmaxͿ�Ğŵ�ĨƵŶĕĆŽ�ĚĂƐ�ƉĞƌĚĂƐ�ŶŽ�ŶƷĐůĞŽ�;�ƌŵĐŽ�/ŶĐͿ͘�
&/d'�Z�>�͕��͘��͖͘�</E'^>�z͕ ��͖͘�hD�E^͕�^͘��͘�Máquinas Elétricas:�ĐŽŵ�ŝŶƚƌŽĚƵĕĆŽ�ă�ĞůĞƚƌƀŶŝĐĂ�ĚĞ�ƉŽƚġŶĐŝĂ͕�ϲ�ĞĚ͕͘�
WŽƌƚŽ��ůĞŐƌĞ͗��ŽŽŬŵĂŶ͕�ϮϬϬϴ�;ĂĚĂƉƚĂĚŽͿ͘
*R17201419*
20
�E'�E,�Z/���>�dZ/��
��ƉĂƌƟ�ƌ�ĚĂƐ�ŝŶĨŽƌŵĂĕƁĞƐ�ĂƉƌĞƐĞŶƚĂĚĂƐ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� ��ƚĞŶƐĆŽ�ŝŶĚƵnjŝĚĂ�ŶŽ�ƐĞĐƵŶĚĄƌŝŽ�ĚŽ�ƚƌĂŶƐĨŽƌŵĂĚŽƌ�ĚĞƉĞŶĚĞ�ĚĂ�ƌĞƐŝƐƚġŶĐŝĂ�ĚŽ�ĞŶƌŽůĂŵĞŶƚŽ͘
//͘� �Ɛ�ĐŽƌƌĞŶƚĞƐ�ŝŶĚƵnjŝĚĂƐ�ŶĂƐ�ůąŵŝŶĂƐ�ĚŽ�ŶƷĐůĞŽ�ůĂŵŝŶĂĚŽ�ƐĆŽ�ƉƌŽƉŽƌĐŝŽŶĂŝƐ�ă�ĞƐƉĞƐƐƵƌĂ�ĚĂƐ�ŵĞƐŵĂƐ͘
///͘� �Ɛ�ƉĞƌĚĂƐ�ƉŽƌ�ĐŽƌƌĞŶƚĞƐ�ŝŶĚƵnjŝĚĂƐ�ŶĂƐ�ůąŵŝŶĂƐ�ĚŽ�ŶƷĐůĞŽ�ƐĆŽ�ƉƌŽƉŽƌĐŝŽŶĂŝƐ�ă�ĚĞŶƐŝĚĂĚĞ�ĚĞ�Ň�ƵdžŽ�;BmaxͿ�ŶŽ�ŶƷĐůĞŽ͘
/s͘ � ��ƵƟ�ůŝnjĂĕĆŽ�ĚĂ�ĚŽƉĂŐĞŵ�ĚĞ�ƐŝůşĐŝŽ�ũƵŶƚŽ�ĐŽŵ�Ž�ĨĞƌƌŽ�ƚĞŵ�Ă�ĨƵŶĕĆŽ�ĚĞ�ĂƵŵĞŶƚĂƌ�Ă�ƌĞƐŝƐƚġŶĐŝĂ�ĞůĠƚƌŝĐĂ�
ĚŽ�ŵĂƚĞƌŝĂů�Ğ�ĂƐƐŝŵ�ƌĞĚƵnjŝƌ�ĂƐ�ƉĞƌĚĂƐ�ƉŽƌ�ĐŽƌƌĞŶƚĞƐ�ŝŶĚƵnjŝĚĂƐ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /�Ğ�///͘
B /�Ğ�/s͘
C //�Ğ�///͘
D /͕�//�Ğ�/s͘
E //͕�///�Ğ�/s͘
QUESTÃO 20 
K�ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ�ĚĂ�ƚĞĐŶŽůŽŐŝĂ�ĚĞ�ƉƌŽĐĞƐƐĂŵĞŶƚŽ�ĚĞ�ƐŝŶĂŝƐ�ƚƌĂŶƐĨŽƌŵŽƵ�ĨŽƌƚĞŵĞŶƚĞ�Ă�ƐŽĐŝĞĚĂĚĞ�ĂƚƵĂů͘�
�ŽŵŽ� ĞdžĞŵƉůŽƐ� ĚĞ� ĂƉůŝĐĂĕƁĞƐ� ƋƵĞ� ƐƵƌŐŝƌĂŵ� ĚĞƐƐĞ� ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ƚġŵͲƐĞ͗� ĄƵĚŝŽ� Ğ� ǀşĚĞŽ� ĐŽĚŝĮ�ĐĂĚŽƐ�
ĞĮ�ĐŝĞŶƚĞŵĞŶƚĞ�ĚĞ�ĨŽƌŵĂ�Ă�ƉĞƌŵŝƟ�ƌ�ƐĞƵ�ƵƐŽ�ŶĂ� ŝŶƚĞƌŶĞƚ͕� ƚĞůĞĨŽŶĞƐ�ĐĞůƵůĂƌĞƐ�ŵƵůƟ�ƚĂƌĞĨĂ�;ƌĞƉƌŽĚƵƚŽƌ�DWϯ͕�
ĐąŵĞƌĂ� ĚŝŐŝƚĂů͕� 'W^͕� ĞƚĐ͘Ϳ͕� ds� ĚŝŐŝƚĂů͕� ĞƋƵŝƉĂŵĞŶƚŽƐ�ŵĠĚŝĐŽƐ�ŵĂŝƐ� ǀĞƌƐĄƚĞŝƐ� Ğ� ƉŽĚĞƌŽƐŽƐ͘� �� Į�ŐƵƌĂ� ĂďĂŝdžŽ�
ŝůƵƐƚƌĂ�Ƶŵ�ĐŽŶĐĞŝƚŽ�ƉŽƐƐşǀĞů�ĚĞ�ĂƉůŝĐĂĕĆŽ�ĚŽ�ƉƌŽĐĞƐƐĂŵĞŶƚŽ�ĚĞ�ƐŝŶĂŝƐ͕�ŶŽ�ƋƵĂů�Ƶŵ�ƐŝŶĂů�ĂŶĂůſŐŝĐŽ�Ġ�ĐŽŶǀĞƌƟ�ĚŽ�
ƉĂƌĂ�Ă�ƐƵĂ�ƌĞƉƌĞƐĞŶƚĂĕĆŽ�ĚŝŐŝƚĂů�Ğ͕�ƉŽƐƚĞƌŝŽƌŵĞŶƚĞ͕�ƌĞƚŽƌŶĂ�ă�ĨŽƌŵĂ�ĂŶĂůſŐŝĐĂ�ĂƉſƐ�Ž�ƉƌŽĐĞƐƐĂŵĞŶƚŽ�ĚŝŐŝƚĂů͘
Filtro
analógico
Entrada
analógica
Sinal limitado
em banda Sinal digital
Sinal digital
processado
Sinal
analógico
Saída
analógicaConversor
analógico-
digital
Conversor
digital-
analógico
Filtro de
reconstrução
Processamento
digital
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕�Ž�ďůŽĐŽ�͚&ŝůƚƌŽ�ĂŶĂůſŐŝĐŽ͛�Ġ�ƌĞƐƉŽŶƐĄǀĞů�ƉĞůĂ
A ĂŵƉůŝĮ�ĐĂĕĆŽ�ĚŽƐ�ŶşǀĞŝƐ�ĚĞ�ĂŵƉůŝƚƵĚĞ�ĚĂ�ĞŶƚƌĂĚĂ�ĂŶĂůſŐŝĐĂ�ƉĂƌĂ�ŵĞůŚŽƌŝĂ�ĚĂ�ƉƌĞĐŝƐĆŽ�ĚŽ�ƉƌŽĐĞƐƐĂŵĞŶƚŽ͘
B ĂƚĞŶƵĂĕĆŽ�ĚĞ�ĐŽŵƉŽŶĞŶƚĞƐ�ĞƐƉĞĐƚƌĂŝƐ�ĂĐŝŵĂ�ĚĂ�ĨƌĞƋƵġŶĐŝĂ�ĚĞ�ELJƋƵŝƐƚ͘
C ĐŽŵƉĞŶƐĂĕĆŽ�ĚŽƐ�ĞĨĞŝƚŽƐ�ĚŽ�Į�ůƚƌŽ�ĚĞ�ƌĞĐŽŶƐƚƌƵĕĆŽ�ĂŽ�Į�ŶĂů�ĚŽ�ƉƌŽĐĞƐƐŽ͘
D ĐŽƌƌĞĕĆŽ�ŶŽ�ƉĂĚƌĆŽ�ĞƐƉĞĐƚƌĂů�ĚĂ�ĞŶƚƌĂĚĂ�ĂŶĂůſŐŝĐĂ�ĐŽŵ�ĂƉůŝĐĂĕĆŽ�ĚĂ�ƚƌĂŶƐĨŽƌŵĂĚĂ�ĚĞ�&ŽƵƌŝĞƌ͘
E ƌĞŵŽĕĆŽ�ĚĞ�ƌƵşĚŽƐ�ŶĂ�ĨĂŝdžĂ�ĚĞ�ĨƌĞƋƵġŶĐŝĂ�ĚĞ�ŝŶƚĞƌĞƐƐĞ�ĚŽ�ƐŝŶĂů�Ă�ƐĞƌ�ƉƌŽĐĞƐƐĂĚŽ͘
ÁREA LIVRE 
*R17201420*
21
�E'�E,�Z/���>�dZ/��
QUESTÃO 21
�ƚĠ� ĂůŐƵŶƐ� ĂŶŽƐ� ĂƚƌĄƐ͕� ďĂƐƚĂǀĂ� ůŝŐĂƌ� Ƶŵ�
ůŝƋƵŝĚŝĨŝĐĂĚŽƌ�ŶĂ�ĐŽnjŝŶŚĂ�ĞŶƋƵĂŶƚŽ�ƵŵĂ�ds�ĞƐƚĂǀĂ�
ůŝŐĂĚĂ�ŶĂ�ƐĂůĂ�ƉĂƌĂ�ƉĞƌĐĞďĞƌ�Ă�ŝŶƚĞƌĨĞƌġŶĐŝĂ͕�ŵĂƐ�
Ž� ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ĚĞ� ƚĞĐŶŽůŽŐŝĂƐ� ũĄ� ĐŽŶƐĞŐƵŝƵ�
ĚŝŵŝŶƵŝƌ͕ � ŽƵ� ĂƚĠ�ŵĞƐŵŽ�ĞůŝŵŝŶĂƌ� Ă� ŝŶƚĞƌĨĞƌġŶĐŝĂ�
ĞŶƚƌĞ� ĂůŐƵŶƐ� ĞƋƵŝƉĂŵĞŶƚŽƐ͘� WĂƌĂ� ĞǀŝƚĂƌ� Ž� ŵĂƵ�
ĨƵŶĐŝŽŶĂŵĞŶƚŽ� ĚŽƐ� ĞůĞƚƌŽĞůĞƚƌƀŶŝĐŽƐ͕� ĨŽƌĂŵ�
ĐƌŝĂĚĂƐ�ďůŝŶĚĂŐĞŶƐ͕�ŐĞƌĂůŵĞŶƚĞ�ĨĞŝƚĂƐ�ĐŽŵ�ĂůŐƵŵ�
ƚŝƉŽ�ĚĞ�ŵĞƚĂů͘
�ŝƐƉŽŶşǀĞů�Ğŵ�фŚƩƉ͗ͬͬǁǁǁ͘ŽƐĞƚŽƌĞůĞƚƌŝĐŽ͘ĐŽŵ͘ďƌх͘�
�ĐĞƐƐŽ�Ğŵ�ϬϮ�ŽƵƚ͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
�� ŝŶƚĞƌĨĞƌġŶĐŝĂ� ĐŝƚĂĚĂ� ŶŽ� ƚĞdžƚŽ� Ġ� ĚĞ� ŽƌŝŐĞŵ�
ĞůĞƚƌŽŵĂŐŶĠƟĐĂ� Ğ� ƉŽĚĞ� ĐĂƵƐĂƌ� ĚĞŐƌĂĚĂĕĆŽ� ŶŽ�
ĚĞƐĞŵƉĞŶŚŽ� ĚĞ� Ƶŵ� ĞƋƵŝƉĂŵĞŶƚŽ� ĞůĞƚƌŽĞůĞƚƌƀŶŝĐŽ�
ĚĞǀŝĚŽ� ă� ŐĞƌĂĕĆŽ� ĚĞ� ĐĂŵƉŽƐ� ĞůĞƚƌŽŵĂŐŶĠƟĐŽƐ� ŶŽ�
ĂŵďŝĞŶƚĞ͘
EŽ�ƋƵĞ� ƐĞ� ƌĞĨĞƌĞ� ĂŽƐ� ĂƐƉĞĐƚŽƐ� ƌĞůĂĐŝŽŶĂĚŽƐ� Ă� ĞƐƐĞ�
ĨĞŶƀŵĞŶŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �Ɛ� ĐĂƵƐĂƐ� ĚĞ� Ƶŵ� ƉƌŽďůĞŵĂ� ĚĞ� ŝŶƚĞƌĨĞƌġŶĐŝĂ�
ĞůĞƚƌŽŵĂŐŶĠƟĐĂ�ƉŽĚĞŵ�ŽĐŽƌƌĞƌ�ƚĂŶƚŽ�ĚĞŶƚƌŽ�
ĐŽŵŽ�ĨŽƌĂ�ĚŽ�ĞƋƵŝƉĂŵĞŶƚŽ͘
//͘� �Ɛ� ůŝŶŚĂƐ� ĚĞ� ƚƌĂŶƐŵŝƐƐĆŽ� ĚĞ� ĞŶĞƌŐŝĂ͕�
ĚĞƐĐĂƌŐĂƐ�ĞůĠƚƌŝĐĂƐ�Ğ�ůąŵƉĂĚĂƐ�ŇƵŽƌĞƐĐĞŶƚĞƐ�
ƐĆŽ�ĐŽŶƐŝĚĞƌĂĚĂƐ�ĐĂƵƐĂĚŽƌĂƐ�ĚĞ�ŝŶƚĞƌĨĞƌġŶĐŝĂ�
ĞůĞƚƌŽŵĂŐŶĠƟĐĂ͘
///͘� YƵĂŶĚŽ�ĚŽŝƐ�ŽƵ�ŵĂŝƐ�ĚŝƐƉŽƐŝƟǀŽƐ�ĐŽŶƚƌŝďƵĞŵ�
ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ� ƉĂƌĂ� Ă� ŝŶƚĞƌĨĞƌġŶĐŝĂ�
ĞůĞƚƌŽŵĂŐŶĠƟĐĂ͕� ĚŝnjͲƐĞ� ƋƵĞ� ĞůĞƐ� ƉŽƐƐƵĞŵ�
ĐŽŵƉĂƟďŝůŝĚĂĚĞ�ŵĂŐŶĠƟĐĂ͘
/s͘ � �ƚĞƌƌĂŵĞŶƚŽ͕� ďůŝŶĚĂŐĞŵ� Ğ� ĮůƚƌĂŐĞŵ� ƐĆŽ�
ƐŽůƵĕƁĞƐ�ƋƵĞ�ƉŽĚĞŵ�ƐĞƌ�ƵƟůŝnjĂĚĂƐ�ŶŽ�ƉƌŽũĞƚŽ�
ĐŽŵ�Ž� ŝŶƚƵŝƚŽ� ĚĞ� ƐĞ� ĐŽŶƚƌŽůĂƌ� ŽƵ� ƐƵƉƌŝŵŝƌ� Ă�
ŝŶƚĞƌĨĞƌġŶĐŝĂ�ĞůĞƚƌŽŵĂŐŶĠƟĐĂ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�/s͘
B //�Ğ�///͘
C ///�Ğ�/s͘
D /͕�//�Ğ�///͘
E /͕�//�Ğ�/s͘
QUESTÃO 22
�ŽŶƐŝĚĞƌĞ� ƵŵĂ� ƌĞĚĞ� ĚĞ� ĚŝƐƚƌŝďƵŝĕĆŽ� ƉĂƌĂ�
ĂƚĞŶĚŝŵĞŶƚŽ� ĚĞ� ƚƌġƐ� ƵŶŝĚĂĚĞƐ� ĐŽŶƐƵŵŝĚŽƌĂƐ͘�
DĞĚŝĕƁĞƐ�ĂƉŽŶƚĂƌĂŵ�ĂƐ�ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�ĚĂƐ�ĐĂƌŐĂƐ�ĚĞ�
ĐĂĚĂ�ƵŶŝĚĂĚĞ�ĐŽŶƐƵŵŝĚŽƌĂ͕�ĐŽŶĨŽƌŵĞ�ŵŽƐƚƌĂĚŽ�ŶŽ�
ƋƵĂĚƌŽ�Ă�ƐĞŐƵŝƌ͘
hŶŝĚĂĚĞ�
�ŽŶƐƵŵŝĚŽƌĂ �ĞƐĐƌŝĕĆŽ
1 �ďƐŽƌǀĞ�ϭ�Ŭt�Ğ�ĨŽƌŶĞĐĞ�ϮϱϬ�ǀĂƌ͘
2
�ďƐŽƌǀĞ�ϯ�ŬǀĂƌ�ĐŽŵ�Ƶŵ�ĨĂƚŽƌ�ĚĞ�ƉŽƚġŶĐŝĂ�
ĚĞ�Ϭ͕ϴ�Ğŵ�ĂƚƌĂƐŽ͘
ϯ �ƉƌĞƐĞŶƚĂ�ƉŽƚġŶĐŝĂ�ĂƉĂƌĞŶƚĞ�ĚĞ�ϭ�Ŭs��Ğ�ĨĂƚŽƌ�ĚĞ�ƉŽƚġŶĐŝĂ�ŝŐƵĂů�Ă�Ϭ͕ϵ�Ğŵ�ĂƚƌĂƐŽ͘
�ĂĚŽƐ͗� ĐŽƐ� ϭϰŽ� с� Ϭ͕ϵϳ͖� ƐĞŶ� ϭϰŽ� с� Ϭ͕Ϯϰ͖� ƚŐ� ϭϰŽ� с� Ϭ͕Ϯϱ͖�
ĐŽƐ�Ϯϱ͕ϴŽ�с�Ϭ͕ϵ͖�ƐĞŶ�Ϯϱ͕ϴŽ�с�Ϭ͕ϰϰ͖�ƚŐ�Ϯϱ͕ϴŽ�с�Ϭ͕ϰϴ͖�ĐŽƐ�ϯϲ͕ϵŽ�с�Ϭ͕ϴ͖�
ƐĞŶ�ϯϲ͕ϵŽ�с�Ϭ͕ϲ͖�ƚŐ�ϯϲ͕ϵŽ�с�Ϭ͕ϳϱ͘
�ĞƐƉƌĞnjĂŶĚŽ�ĂƐ�ƉĞƌĚĂƐ�ŶŽƐ�ĂůŝŵĞŶƚĂĚŽƌĞƐ�ĚĂ�ƌĞĚĞ͕�
ĂƐƐŝŶĂůĞ� Ă� ĂůƚĞƌŶĂƟǀĂ� ƋƵĞ� ĂƉƌĞƐĞŶƚĂ� ĐŽƌƌĞƚĂŵĞŶƚĞ�
Ă� ŵĞŶŽƌ� ƉŽƚġŶĐŝĂ� ŶŽŵŝŶĂů� ĚŽ� ƚƌĂŶƐĨŽƌŵĂĚŽƌ� ĚĞ�
ĚŝƐƚƌŝďƵŝĕĆŽ͕� ĐĂƉĂnj� ĚĞ� ƐƵƉƌŝƌ� ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ� ĂƐ�
ƚƌġƐ�ƵŶŝĚĂĚĞƐ�ĐŽŶƐƵŵŝĚŽƌĂƐ�Ă�ĞůĞ�ŝŶƚĞƌůŝŐĂĚŽƐ͘
A ϯ�Ŭs�͘
B ϱ�Ŭs�͘
C ϭϬ�Ŭs�͘
D ϭϱ�Ŭs�͘
E Ϯϱ�Ŭs�͘
ÁREA LIVRE
*R17201421*
22
�E'�E,�Z/���>�dZ/��
QUESTÃO 23
��ĮŐƵƌĂ�ϭ�ĂƉƌĞƐĞŶƚĂ�Ƶŵ�ƐŝƐƚĞŵĂ�ĨŽƚŽǀŽůƚĂŝĐŽ�ŝƐŽůĂĚŽ�
ĐŽŵ� ĂƌŵĂnjĞŶĂŵĞŶƚŽ͕� ƐƵƉƌŝŶĚŽ� ĂƉĞŶĂƐ� ĐĂƌŐĂƐ� ƋƵĞ�
ĨƵŶĐŝŽŶĂŵ�Ğŵ�ĐŽƌƌĞŶƚĞ� ĐŽŶơŶƵĂ͕� ũĄ� ƋƵĞ�Ž� ƐŝƐƚĞŵĂ�
ŶĆŽ�ĐŽŶƚĂ�ĐŽŵ�ŝŶǀĞƌƐŽƌ͘
&ŝŐƵƌĂ�ϭ
K�ĐŝƌĐƵŝƚŽ�ŝůƵƐƚƌĂĚŽ�ŶĂ�ĮŐƵƌĂ�Ϯ�ƌĞƉƌĞƐĞŶƚĂ�Ƶŵ�ŵŽĚĞůŽ�
ƐŝŵƉůŝĮĐĂĚŽ�ĚŽ�ƐŝƐƚĞŵĂ�ŵŽƐƚƌĂĚŽ�ŶĂ�ĮŐƵƌĂ�ϭ͘�EĂ�ĐĠůƵůĂ�
ĨŽƚŽǀŽůƚĂŝĐĂ�ŽĐŽƌƌĞ�ƵŵĂ�ƋƵĞĚĂ�ĚĞ�ƚĞŶƐĆŽ�ƋƵĂŶĚŽ�ŽƐ�
ƉŽƌƚĂĚŽƌĞƐ�ĚĞ�ĐĂƌŐĂ�ŵŝŐƌĂŵ�ĚŽ�ƐĞŵŝĐŽŶĚƵƚŽƌ�ƉĂƌĂ�
ŽƐ� ĐŽŶƚĂƚŽƐ�ĞůĠƚƌŝĐŽƐ͕� ƌĞƉƌĞƐĞŶƚĂĚĂ�ƉĞůĂ� ƌĞƐŝƐƚġŶĐŝĂ�
ƐĠƌŝĞ� ZƐ͘� �ƐƚĞ� ƉĂƌąŵĞƚƌŽ� ƌĞƉƌĞƐĞŶƚĂ� Ă� ƌĞƐŝƐƚġŶĐŝĂ�
ĚĂ� ƉƌſƉƌŝĂ� ĐĠůƵůĂ͕� ƐĞŶĚŽ� ĐŽŵƉŽƐƚĂ� ƉĞůĂ� ƌĞƐŝƐƚġŶĐŝĂ�
ĞůĠƚƌŝĐĂ� ĚŽ� ŵĂƚĞƌŝĂů� Ğ� ĚŽƐ� ĐŽŶƚĂƚŽƐ� ŵĞƚĄůŝĐŽƐ� ƋƵĞ�
ƌĞƐƵůƚĂŵ�ŶĂƐ�ƉĞƌĚĂƐ�ƉŽƌ�ĞĨĞŝƚŽ� :ŽƵůĞ͘�K�ŵŽĚĞůŽ�ĚŽ�
ƉĂŝŶĞů� Ġ� ĐŽŵƉůĞƚĂĚŽ� ĐŽŵ�ƵŵĂ� ƌĞƐŝƐƚġŶĐŝĂ�ƉĂƌĂůĞůĂ͕�
ZƉ͕� ƋƵĞ� ƌĞƉƌĞƐĞŶƚĂ� ĂƐ� ƉĞƌĚĂƐ� ĚĞǀŝĚŽ� ăƐ� ĐŽƌƌĞŶƚĞƐ�
ŝŶǀĞƌƐĂƐ� ĚĞ� ĨƵŐĂ� Ğ� ƉĂƌĂƐŝƚĂƐ� ƋƵĞ� ĐŝƌĐƵůĂŵ� ŶĂ�
ĐĠůƵůĂ� ĐĂƵƐĂĚĂƐ͕� ƉƌŝŶĐŝƉĂůŵĞŶƚĞ͕� ƉĞůĂƐ� ƉĞƋƵĞŶĂƐ�
ŝŵƉĞƌĨĞŝĕƁĞƐ�ŶĂ�ĞƐƚƌƵƚƵƌĂ�ĚŽ�ŵĂƚĞƌŝĂů͘
&ŝŐƵƌĂ�Ϯ
�ĂĚŽƐ͗
WĂƌąŵĞƚƌŽ �ĞƐĐƌŝĕĆŽ sĂůŽƌ
ZƐ
ZĞƐŝƐƚġŶĐŝĂ� ƐĠƌŝĞ� ĚŽ� ƉĂŝŶĞů�
ĨŽƚŽǀŽůƚĂŝĐŽ 1Ÿ�
ZƉ
ZĞƐŝƐƚġŶĐŝĂ� ƉĂƌĂůĞůĂ� ĚŽ� ƉĂŝŶĞů�
ĨŽƚŽǀŽůƚĂŝĐŽ Ϭ͕Ϯϭ�ŬŸ
Vď
dĞŶƐĆŽ� ŵĞĚŝĚĂ� ŶŽƐ� ƚĞƌŵŝŶĂŝƐ� ĚĂ�
ďĂƚĞƌŝĂ 12 V
Zď ZĞƐŝƐƚġŶĐŝĂ�ŝŶƚĞƌŶĂ�ĚĂ�ďĂƚĞƌŝĂ ϮϬ�ŵŸ
/^
�ŽƌƌĞŶƚĞ� ŵĞĚŝĚĂ� ŶĂ� ƐĂşĚĂ� ĚŽ�
ƉĂŝŶĞů�ĨŽƚŽǀŽůƚĂŝĐŽ ϵ��
^ĞŶĚŽ� ŽƐ� ĐŽŶĚƵƚŽƌĞƐ� ĚĞ� ŝŶƚĞƌůŝŐĂĕĆŽ� ŝĚĞĂŝƐ͕�
ĚĞƐƉƌĞnjĂŶĚŽ� ƋƵĂůƋƵĞƌ� ƉĂƌĐĞůĂ� ƌĞĂƟǀĂ� ĚŽƐ�
ĐŽŵƉŽŶĞŶƚĞƐ� ĚŽ� ĐŝƌĐƵŝƚŽ� Ğ� ĐŽŶƐŝĚĞƌĂŶĚŽ� Ž�
ĨƵŶĐŝŽŶĂŵĞŶƚŽ� ƐŝŵƵůƚąŶĞŽ� ĚĞ� ƚŽĚĂƐ� ĂƐ� ĐĂƌŐĂƐ�
ĚĞƐĐƌŝƚĂƐ͕�ĂǀĂůŝĞ�ŽƐ�ŝƚĞŶƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �� ƌĞƐŝƐƚġŶĐŝĂ� ĞƋƵŝǀĂůĞŶƚĞ� ĚĂƐ� ƚƌġƐ� ĐĂƌŐĂƐ�
ƐƵƉƌŝĚĂƐ�ƉĞůŽ�ƐŝƐƚĞŵĂ�Ġ�ŝŐƵĂů�Ă�ϭ�ё͘
//͘� �� ĐŽƌƌĞŶƚĞ� ŐĞƌĂĚĂ� ƉĞůŽ� ƉĂŝŶĞů� ĨŽƚŽǀŽůƚĂŝĐŽ͕�
/Ɖǀ͕ �ŶŽ�ŝŶƐƚĂŶƚĞ�ĐŽŶƐŝĚĞƌĂĚŽ͕�Ġ�ŝŐƵĂů�Ă�ϵ͕ϭ��͘
///͘� ��ƚĞŶƐĆŽ�ƐŽďƌĞ�Ă�ƌĞƐŝƐƚġŶĐŝĂ�ZƉ͕�sƉ͕�ĂƉƌĞƐĞŶƚĂ�
Ž�ǀĂůŽƌ�ĚĞ�ϭϴ�s͘
/s͘ � EŽ� ŝŶƐƚĂŶƚĞ� ĐŽŶƐŝĚĞƌĂĚŽ͕� Ă� ďĂƚĞƌŝĂ� ĐŽŶƚƌŝďƵŝ�
ĐŽŵ� ϯ� �� ƉĂƌĂ� ƐƵƉƌŝƌ� ĂƐ� ŶĞĐĞƐƐŝĚĂĚĞƐ� ĚĂƐ�
ĐĂƌŐĂƐ�Ğŵ�ĨƵŶĐŝŽŶĂŵĞŶƚŽ͘
V. �� ĨŽƌĕĂ� ĞůĞƚƌŽŵŽƚƌŝnj� ĚĂ� ďĂƚĞƌŝĂ͕� ĨĞŵ͕� ƚĞŵ� Ž�
ǀĂůŽƌ�ĚĞ�ϭϳ͕ϰ�s͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�//�Ğ�/s͘
B /͕�///�Ğ�/s͘
C /͕�///�Ğ�s͘
D //͕�///�Ğ�s͘
E //͕�/s�Ğ�s͘
ÁREA LIVRE
*R17201422*
Ϯϯ
�E'�E,�Z/���>�dZ/��
QUESTÃO 24 
K�ĐŝƌĐƵŝƚŽ�ƌĞƉƌĞƐĞŶƚĂĚŽ�ŶĂ�Į�ŐƵƌĂ�Ă�ƐĞŐƵŝƌ�ƵƟ�ůŝnjĂ�Ƶŵ�ŽƉƚŽͲĂĐŽƉůĂĚŽƌ�ϰEϯϯ�ƉĂƌĂ�ŝƐŽůĂƌ�Ă�ůŝŶŚĂ�ĚĞ�ĂůŝŵĞŶƚĂĕĆŽ�
Ğŵ�ďĂŝdžĂ�ƚĞŶƐĆŽ�;ĞŶƚƌĂĚĂͿ�ĚŽ�ůĂĚŽ�ĚĞ�ĂůƚĂ�ƚĞŶƐĆŽ�;ƚĞƌŵŝŶĂů�ĐŽŵƵŵ�Ğŵ�н�ϭ�ϬϬϬ�sͿ͘�K�ŐƌĄĮ�ĐŽ�ĚĂ�Į�ŐƵƌĂ�ŵŽƐƚƌĂ�
Ă�ĐŽƌƌĞŶƚĞ�ĚŽ�ĐŽůĞƚŽƌ�ƌĞůĂĐŝŽŶĂĚĂ�ĐŽŵ�Ă�ĐŽƌƌĞŶƚĞ�ĚŽ�>��͕�ƋƵĞ�Ġ�Ă�ĐĂƌĂĐƚĞƌşƐƟ�ĐĂ�ĚĞ�ƚƌĂŶƐĨĞƌġŶĐŝĂ�ĚĞ�Ƶŵ�ϰEϯϯ�
ƉĂƌĂ�Ƶŵ�ĨŽƚŽƚƌĂŶƐŝƐƚŽƌ�ŶĆŽͲƐĂƚƵƌĂĚŽ͘
100
10
1,0
0,1
0,1 1,0 10
I mALED
+V
BB
I
m
A
C
100
0,01
0,001
+1000V
2N3904
4N33
+
+10V
1 k:
430 :
10V
0,0001
4N33
D�>s/EK͕��͘�W͘ �Eletrônica, ǀ͘ ϭ͕�ϳ͘ĞĚ͘�^ĆŽ�WĂƵůŽ͗�DĐ'ƌĂǁͲ,ŝůů��ŽŽŬ͕�ϮϬϬϳ͘
�ŽŶƐŝĚĞƌĂŶĚŽ�s��;ƐĂƚͿ�с�Ϭ͕ϳ�s͕�ĂǀĂůŝĞ�ĂƐ�ƐĞŐƵŝŶƚĞƐ�ĂĮ�ƌŵĂĕƁĞƐ͘
/͘� ^Ğ�s���ĨŽƌ�ϱ�s͕�Ž�ǀĂůŽƌ�ĚĂ�ƚĞŶƐĆŽ�ĐŽůĞƚŽƌͲĞŵŝƐƐŽƌ�ĚŽ�ĨŽƚŽƚƌĂŶƐŝƐƚŽƌ�Ġ�ϭϬ�s͘
//͘� EŽ�ĐŝƌĐƵŝƚŽ͕�Ă�ŵĄdžŝŵĂ�ĐŽƌƌĞŶƚĞ�ƉŽƐƐşǀĞů�ƉĂƌĂ�Ž�ĨŽƚŽƚƌĂŶƐŝƐƚŽƌ�Ġ�ĚĞ�ϱ�ŵ�͘
///͘� ^Ğ�Ă�ƚĞŶƐĆŽ�ŶŽ�ƌĞƐŝƐƚŽƌ�ĚĞ�ϭ�ŬŸ��ĨŽƌ�ĚĞ�ϭ�s͕�Ž�ǀĂůŽƌ�ĚĂ�ƚĞŶƐĆŽ�s���ƐĞƌĄ�ϭ͕ϭϯ�s͘ �
/s͘ � ^Ğ�Ž�>���ĞƐƟ�ǀĞƌ�ĂďĞƌƚŽ�Ğ�s���с�ϯ�s͕�Ă�ƚĞŶƐĆŽ�ŵĞĚŝĚĂ�ĞŶƚƌĞ�Ž�ĐŽůĞƚŽƌ�ĚŽ�ϮEϯϵϬϰ�Ğ�Ž�ƚĞƌƌĂ�Ġ�ĚĞ�ϭϬ�s͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�///͘
C ///�Ğ�/s͘
D /͕�//�Ğ�/s͘
E //͕�///�Ğ�/s͘
ÁREA LIVRE 
*R17201423*
24
�E'�E,�Z/���>�dZ/��
QUESTÃO 25 
�ŽŶƐŝĚĞƌĂŶĚŽ� Ƶŵ� ĐŽŶĐƵƌƐŽ� ŽŶĚĞ� ŽƐ� ĐĂŶĚŝĚĂƚŽƐ�
ƐĞƌĆŽ�ĂǀĂůŝĂĚŽƐ�Ă�ƉĂƌƟ�ƌ�ĚĂ�ĐŽŵďŝŶĂĕĆŽ�ĚĂƐ�ƌĞƐƉŽƐƚĂƐ�
ďŝŶĄƌŝĂƐ�;Ɛŝŵ�Ͳ�ϭ�ŽƵ�ŶĆŽ�Ͳ�ϬͿ�Ă�ƋƵĂƚƌŽ�ƋƵĞƐƚƁĞƐ�;�͕��͕���Ğ��Ϳ͕� ĐŽŶƐƚƌƵŝƵͲƐĞ�Ž� ƐĞŐƵŝŶƚĞ� ĐŝƌĐƵŝƚŽ�ĚŝŐŝƚĂů� ƉĂƌĂ�
ƐĞůĞĐŝŽŶĂƌ�ŽƐ�ĐŝƚĂĚŽƐ�ĐĂŶĚŝĚĂƚŽƐ͘�
A B C D
L1
^ĂďĞŶĚŽ�ƋƵĞ�Ž�>���>ϭ�Ɛſ�ĂĐĞŶĚĞƌĄ�ƉĂƌĂ�Ž�ŶşǀĞů�ůſŐŝĐŽ�
ϭ� ŶĂ� ƐƵĂ� ĞŶƚƌĂĚĂ͕� Ğ� ƋƵĞ� ŝƐƐŽ� ƐĞƌŝĂ� Ă� ŝŶĚŝĐĂĕĆŽ� ĚĞ�
ĂƉƌŽǀĂĕĆŽ͕�ƋƵĂů�ĚĂƐ�ĂůƚĞƌŶĂƟ�ǀĂƐ�Ă�ƐĞŐƵŝƌ�ĂƉƌĞƐĞŶƚĂ�
ĐŽƌƌĞƚĂŵĞŶƚĞ� ƉŽƐƐşǀĞŝƐ� ĐŽŵďŝŶĂĕƁĞƐ� ďŝŶĄƌŝĂƐ� ĚĂƐ�
ƌĞƐƉŽƐƚĂƐ�ăƐ�ƋƵĞƐƚƁĞƐ��͕��͕���Ğ��͕�ŶĞƐƐĂ�ƐĞƋƵġŶĐŝĂ͕�
ƋƵĞ�ŐĂƌĂŶƚĞŵ�Ă�ĂƉƌŽǀĂĕĆŽ�ĚĞ�Ƶŵ�ĐĂŶĚŝĚĂƚŽ͍
A ϬϬϭϭ͕�ϬϬϬϭ�Ğ�ϬϬϭϬ
B ϭϬϬϭ͕�ϭϭϬϭ�Ğ�ϭϭϭϬ
C Ϭϭϭϭ͕�ϭϬϬϭ�Ğ�ϭϬϭϭ
D ϬϭϭϬ͕�ϭϬϭϬ�Ğ�ϭϬϬϬ
E ϭϬϭϭ͕�ϭϭϬϭ�Ğ�ϭϬϭϬ
ÁREA LIVRE 
QUESTÃO 26 
�ŝǀĞƌƐŽƐ� ƉĂƌąŵĞƚƌŽƐ� ƉŽĚĞŵ� ƐĞƌ� ŽďƟ�ĚŽƐ� Ă� ƉĂƌƟ�ƌ�
ĚĂ�ƌĞƐƉŽƐƚĂ�ĚĞ�Ƶŵ�ƐŝƐƚĞŵĂ�ĚĞ�ĐŽŶƚƌŽůĞ�ĚĞ�ƐĞŐƵŶĚĂ�
ŽƌĚĞŵ� Ă� ƵŵĂ� ĞŶƚƌĂĚĂ� ĚŽ� Ɵ�ƉŽ� ĚĞŐƌĂƵ� ƵŶŝƚĄƌŝŽ͕�
ĐŽŶĨŽƌŵĞ�ŵŽƐƚƌĂĚŽ�ŶŽ�ŐƌĄĮ�ĐŽ�Ă�ƐĞŐƵŝƌ͘
1,0 +�G
1,0
Overshoot
0,9
0,1
0
Tempo de subida
Tempo de
pico
Tempo de
acomodação
tTs
ess
Tp
y(t)
Mpt
Tr
Tr
1
����í�G
�KZ&͕ �Z͘��͖͘��/^,KW͕ �Z͘�,͘�Sistemas de controle modernos͕�ϴǐ�ĞĚ͘�ZŝŽ�
ĚĞ�:ĂŶĞŝƌŽ͗�>ŝǀƌŽƐ�dĠĐŶŝĐŽƐ�Ğ��ŝĞŶơ�Į�ĐŽƐ͕�ϮϬϬϭ�;ĂĚĂƉƚĂĚŽͿ͘
�ŽŶƐŝĚĞƌĂŶĚŽ� ƋƵĞ� Ă� ĨƵŶĕĆŽ� ĚĞ� ƚƌĂŶƐĨĞƌġŶĐŝĂ�
Y(s) ĚŽ� ƐŝƐƚĞŵĂ� ĚĞ� ƐĞŐƵŶĚĂ� ŽƌĚĞŵ� Ġ� ĚĂĚĂ� ƉŽƌ
Y(s) =
1
s2 + 1,4s + 4
͕� Ž� ǀĂůŽƌ� ĚŽ� ƚĞŵƉŽ� ĚĞ
ĂĐŽŵŽĚĂĕĆŽ� Ts ƉĂƌĂ� ƋƵĞ� Ă� ƌĞƐƉŽƐƚĂ� ĚŽ� ƐŝƐƚĞŵĂ�
ĞƐƚĞũĂ� ĚĞŶƚƌŽ� ĚĞ� ƵŵĂ� ĨĂŝdžĂ� ĚĞ� цϮй� ĚŽ� ǀĂůŽƌ� Į�ŶĂů�
ƐĞƌĄ�ĚĞ
A Ϯ͕ϴϱ�Ɛ͘
B ϯ͕ϳϱ�Ɛ͘
C ϰ͕ϬϬ�Ɛ͘
D ϱ͕ϬϬ�Ɛ͘
E ϭϬ͕ϬϬ�Ɛ͘
ÁREA LIVRE 
*R17201424*
25
�E'�E,�Z/���>�dZ/��
QUESTÃO 27 
KƐ�ĚŝĂŐƌĂŵĂƐ�ĚĞ��ŽĚĞ�ƐĆŽ�ĐŽŶƐƚƌƵĕƁĞƐ�ŐƌĄĮ�ĐĂƐ�ƋƵĞ�ƉĞƌŵŝƚĞŵ�ĞƐďŽĕĂƌ�Ă�ƌĞƐƉŽƐƚĂ�ĚĞ�Ƶŵ�ƐŝƐƚĞŵĂ�ĚĞ�ĐŽŶƚƌŽůĞ͘�
�ƐƐĞƐ�ĚŝĂŐƌĂŵĂƐ�ƐĆŽ�ĐŽŶƐƟ�ƚƵşĚŽƐ�ĚĞ�ĚƵĂƐ�ĐƵƌǀĂƐ͕�ƵŵĂ�ƌĞƉƌĞƐĞŶƚĂŶĚŽ�Ž�ŵſĚƵůŽ�Ğ�Ă�ŽƵƚƌĂ�Ă�ĨĂƐĞ�ĚĂ�ĨƵŶĕĆŽ�ĚĞ�
ƚƌĂŶƐĨĞƌġŶĐŝĂ�Ğŵ�ƌĞůĂĕĆŽ�ă�ĨƌĞƋƵġŶĐŝĂ͘
��Į�ŐƵƌĂ�Ă�ƐĞŐƵŝƌ�ĂƉƌĞƐĞŶƚĂ�ŽƐ�ĚŝĂŐƌĂŵĂƐ�ĚĞ��ŽĚĞ�ĚĞ�Ƶŵ�ĚĞƚĞƌŵŝŶĂĚŽ�ƐŝƐƚĞŵĂ͘
Frequência (rad/s)
10
-90
-45
0
45
90
-70
-60
-50
-40
-30
-20
-1 100 101 102 103 104
Fa
se
 (g
ra
us
)
M
ód
ul
o 
(d
B
)
�ƐƐŝŶĂůĞ�Ă�ĂůƚĞƌŶĂƟ�ǀĂ�ƋƵĞ�ĂƉƌĞƐĞŶƚĂ�ĐŽƌƌĞƚĂŵĞŶƚĞ�Ă�ĨƵŶĕĆŽ�ĚĞ�ƚƌĂŶƐĨĞƌġŶĐŝĂ�ĚŽ�ƐŝƐƚĞŵĂ�ĚĞƐĐƌŝƚŽ�ƉĞůĂƐ�ĐƵƌǀĂƐ�
ĚĂ�Į�ŐƵƌĂ�ĂĐŝŵĂ͘
A H(s) =
100
(s + 1) (s + 200)
B H(s) =
10s
(s + 10) (s + 100)
C H(s) =
s2
(s + 10) (s + 200)
D H(s) =
10s
(s + 1) (s + 200)
E H(s) =
100
s (s + 100)
*R17201425*
26
�E'�E,�Z/���>�dZ/��
QUESTÃO 28
K� ƉƌŽũĞƚŽ� ĚĞ� ƚƌĂŶƐĨŽƌŵĂĚŽƌĞƐ� ǀŝƐĂ� ă� ĐŽŶƐƚƌƵĕĆŽ�
ĚĞ� ĚŝƐƉŽƐŝƟǀŽƐ� ĞĮĐŝĞŶƚĞƐ͕� ƉŽƌĠŵ� ĐŽŵ� ĐƵƐƚŽƐ� ƋƵĞ�
ǀŝĂďŝůŝnjĞŵ� Ă� ƉƌŽĚƵĕĆŽ� Ğŵ� ŵĂŝŽƌ� ĞƐĐĂůĂ͘� �ĞƐƐĞ�
ŵŽĚŽ͕� Ă� ďƵƐĐĂ� ƉŽƌ� ŵĂƚĞƌŝĂŝƐ� ƋƵĞ� ƉƌŽƉŽƌĐŝŽŶĞŵ�
Ă� ƌĞĚƵĕĆŽ� ĚĞ� ƉĞƌĚĂƐ͕� ĂƚĞŶĚĞŶĚŽ� ĂŽƐ� ƌĞƋƵŝƐŝƚŽƐ�
ĞĐŽŶƀŵŝĐŽƐ�ĚĞƐĞũĂĚŽƐ͕�ĐŽŶƐŝƐƚĞ�Ğŵ�Ƶŵ�ĚĞƐĂĮŽ�ƉĂƌĂ�
ŽƐ�ƉƌŽĮƐƐŝŽŶĂŝƐ�ĚĂ�ĄƌĞĂ͘�
EĞƐƐĞ�ĐŽŶƚĞdžƚŽ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� EŽ�ĐĂƐŽ�ĚŽƐ�ƚƌĂŶƐĨŽƌŵĂĚŽƌĞƐ͕�Ġ�ĚĞƐĞũĄǀĞů�ƋƵĞ�
ŽƐ�ĐŽŶĚƵƚŽƌĞƐ�ĚŽƐ�ĞŶƌŽůĂŵĞŶƚŽƐ�ĚŽ�ƉƌŝŵĄƌŝŽ�
Ğ� ƐĞĐƵŶĚĄƌŝŽ� ƚĞŶŚĂŵ� ĂůƚĂ� ƉĞƌŵĞĂďŝůŝĚĂĚĞ�
ŵĂŐŶĠƟĐĂ� ĚĞ� ŵŽĚŽ� Ă� ƌĞĚƵnjŝƌ� ĂƐ� ƉĞƌĚĂƐ� ŶŽ�
ĐŽďƌĞ͘
//͘� DĂƚĞƌŝĂŝƐ� ĨĞƌƌŽŵĂŐŶĠƟĐŽƐ� ƐĆŽ� ĂůƚĂŵĞŶƚĞ�
ƌĞĐŽŵĞŶĚĄǀĞŝƐ� ŶĂ� ĐŽŶƐƟƚƵŝĕĆŽ� ĚŽ� ŶƷĐůĞŽ�
ĚĞ� ƚƌĂŶƐĨŽƌŵĂĚŽƌĞƐ� ƉŽƌ� ƉƌŽŵŽǀĞƌ� Ƶŵ�
ďŽŵ� ĂĐŽƉůĂŵĞŶƚŽ� ŵĂŐŶĠƟĐŽ� ĞŶƚƌĞ� ŽƐ�
ĞŶƌŽůĂŵĞŶƚŽƐ�ĚŽ�ƉƌŝŵĄƌŝŽ�Ğ�ƐĞĐƵŶĚĄƌŝŽ͘
///͘� �Ɛ�ƉĞƌĚĂƐ�ƉŽƌ�ĐŽƌƌĞŶƚĞƐ�ƉĂƌĂƐŝƚĂƐ�ŝŶĚĞƉĞŶĚĞŵ�
ĚŽ�ŵĂƚĞƌŝĂů� ĞƐĐŽůŚŝĚŽ� ƉĂƌĂ� Ž� ŶƷĐůĞŽ͕� ƐĞŶĚŽ�
ƉƌŽƉŽƌĐŝŽŶĂŝƐ� ă� ƌĞƐŝƐƟǀŝĚĂĚĞ� ĚŽ� ŵĂƚĞƌŝĂů�
ƵƟůŝnjĂĚŽ�ƉĂƌĂ�ĐŽŶĨĞĐĕĆŽ�ĚŽƐ�ĞŶƌŽůĂŵĞŶƚŽƐ�Ğ�
ĂŽ�ǀĂůŽƌ�ĚĂ�ĐŽƌƌĞŶƚĞ�ĞůĠƚƌŝĐĂ�ƋƵĞ�ŶĞůĞƐ�ĐŝƌĐƵůĂ͘
/s͘ � K� ĂƵŵĞŶƚŽ� ŶŽ� ƚĞŽƌ� ĚĞ� ƐŝůşĐŝŽ� ĚŽ� ŶƷĐůĞŽ� ĚĞ�
ƚƌĂŶƐĨŽƌŵĂĚŽƌĞƐ�ƉĞƌŵŝƚĞ�ƌĞĚƵĕĆŽ�ŶĂƐ�ƉĞƌĚĂƐ�
ƉŽƌ� ĐŽƌƌĞŶƚĞƐ� ƉĂƌĂƐŝƚĂƐ� Ğ� ƉƌŽŵŽǀĞ� ŵĞůŚŽƌĂ�
ŶĂƐ�ƉƌŽƉƌŝĞĚĂĚĞƐ�ŵĂŐŶĠƟĐĂƐ�ĚĂƐ�ĐŚĂƉĂƐ͘
V. KƐ� ŵĂƚĞƌŝĂŝƐ� ƋƵĞ� ĐŽŵƉƁĞŵ� Ž� ŶƷĐůĞŽ� ƐĆŽ�
ŐĞƌĂůŵĞŶƚĞ�ƉƌŽĚƵnjŝĚŽƐ�ƐŽď�ĨŽƌŵĂ�ĚĞ�ĐŚĂƉĂƐ�
ĚĞ� ƌĞĚƵnjŝĚĂ� ĞƐƉĞƐƐƵƌĂ͕� Ž� ƋƵĞ� ƉƌŽŵŽǀĞ� Ă�
ĚŝŵŝŶƵŝĕĆŽ� ĚŽ� ĐĂŵŝŶŚŽ� ĚĞ� ĐŝƌĐƵůĂĕĆŽ� ĚĞ�
ĐŽƌƌĞŶƚĞƐ� ŝŶĚƵnjŝĚĂƐ� ŶŽ� ŶƷĐůĞŽ� Ğ� ĂƚĞŶƵĂ� ĂƐ�
ƉĞƌĚĂƐ�ƉŽƌ�ĐŽƌƌĞŶƚĞƐ�ƉĂƌĂƐŝƚĂƐ͘�
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�//�Ğ�/s͘
B /͕�///�Ğ�/s͘
C /͕�///͕�Ğ�s͘
D //͕�///�Ğ�s͘
E //͕�/s�Ğ�s.
QUESTÃO 29
�Ɛ� ůąŵƉĂĚĂƐ�Ă� >��� ;>ŝŐŚƚ��ŵŝƫŶŐ��ŝŽĚĞͿ�ƉŽƐƐƵĞŵ�
ǀŝĚĂ�ƷƟů�ŵƵŝƚŽ�ƐƵƉĞƌŝŽƌ�ĂŽƐ�ŽƵƚƌŽƐ�ƟƉŽƐ�ĚĞ�ůąŵƉĂĚĂƐ�
ĚŝƐƉŽŶşǀĞŝƐ�ŶŽ�ŵĞƌĐĂĚŽ͘��ůĠŵ�ĚŝƐƐŽ͕�ĞůĂƐ�ĂƉƌĞƐĞŶƚĂŵ�
Ƶŵ� şŶĚŝĐĞ� ĚĞ� ƌĞƉƌŽĚƵĕĆŽ� ĚĞ� ĐŽƌ� ;/Z�Ϳ� ĐŽŶƐŝĚĞƌĂĚŽ�
ĂĐĞŝƚĄǀĞů� ŵĞƐŵŽ� ƉĞůŽƐ� ƉĂĚƌƁĞƐ� ŵĂŝƐ� ĞdžŝŐĞŶƚĞƐ� ĚĞ�
ŝůƵŵŝŶĂĕĆŽ�ĚĞ�ŝŶƚĞƌŝŽƌĞƐ͘�KĨĞƌĞĐĞŵ͕�ĂŝŶĚĂ͕�ĞĮĐŝġŶĐŝĂ�
ůƵŵŝŶŽƐĂ� ďĂƐƚĂŶƚĞ� ƐƵƉĞƌŝŽƌ� ăƐ� ŇƵŽƌĞƐĐĞŶƚĞƐ�
ĐŽŵƉĂĐƚĂƐ� Ğ� ăƐ� ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ͘� �Žŵ� ƚĂŵĂŶŚĂƐ�
ǀĂŶƚĂŐĞŶƐ͕� ǀĞƌŝĮĐĂͲƐĞ� ƋƵĞ� ĞdžŝƐƚĞ� ƵŵĂ� ƚĞŶĚġŶĐŝĂ�
ĚĂ� ŝůƵŵŝŶĂĕĆŽ� ƚƌĂĚŝĐŝŽŶĂů͕� ĐŽŵƉŽƐƚĂ� ƉŽƌ� ůąŵƉĂĚĂƐ�
ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ͕� ĚŝĐƌŽŝĐĂƐ� Ğ� ŇƵŽƌĞƐĐĞŶƚĞƐ� ƚƵďƵůĂƌĞƐ�
ŽƵ� ĐŽŵƉĂĐƚĂƐ͕� ƐĞƌ� ŐƌĂĚƵĂůŵĞŶƚĞ� ƐƵďƐƟƚƵşĚĂ� ƉĞůĂƐ�
ůąŵƉĂĚĂƐ�ĚĞ�>��͘�
�Žŵ�ƌĞůĂĕĆŽ�ĂŽƐ�>��͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� �� ĚŝĨĞƌĞŶĕĂ� ĞŶƚƌĞ� ŽƐ� ƐĞŵŝĐŽŶĚƵƚŽƌĞƐ�
ŝŶƚƌşŶƐĞĐŽƐ�Ğ�ĞdžƚƌşŶƐĞĐŽƐ�Ġ�ƋƵĞ�ŽƐ�ŝŶƚƌşŶƐĞĐŽƐ�
ĂƉƌĞƐĞŶƚĂŵ� ŝŵƉƵƌĞnjĂƐ� ĚŽƉĂŶƚĞƐ� ŝŶƐĞƌŝĚĂƐ�
ĚĞ� ĨŽƌŵĂ�Ă�ĮĐĂƌĞŵ� ƌĞƟĚĂƐ�ĚĞŶƚƌŽ�ĚŽ� ĐƌŝƐƚĂů�
ƐĞŵŝĐŽŶĚƵƚŽƌ͕ � Ğ� ŽƐ� ĞdžƚƌşŶƐĞĐŽƐ� ƉŽƐƐƵĞŵ�
ĚŽƉĂŶƚĞƐ� ƉŽƐŝĐŝŽŶĂĚŽƐ� ĞdžƚĞƌŶĂŵĞŶƚĞ� ĂŽ�
ĐƌŝƐƚĂů�ƐĞŵŝĐŽŶĚƵƚŽƌ͘
//͘� YƵĂŶĚŽ�Ă�ũƵŶĕĆŽ�WͲE�ĚĞ�Ƶŵ�>���Ġ�ĚŝƌĞƚĂŵĞŶƚĞ�
ƉŽůĂƌŝnjĂĚĂ͕�ĞůĠƚƌŽŶƐ�Ğ�ůĂĐƵŶĂƐ�ƐĞ�ƌĞĐŽŵďŝŶĂŵ͕�
ƌĞƐƵůƚĂŶĚŽ�ŶĂ�ĞŵŝƐƐĆŽ�ĚĞ�ĨſƚŽŶƐ͘
///͘� ��ůƵnj�ĞŵŝƟĚĂ�ƉĞůŽ�>���ƚĞŵ�ĐŽŵƉƌŝŵĞŶƚŽ�ĚĞ�
ŽŶĚĂ�ƌĞůĂĐŝŽŶĂĚŽ�ĂŽ�ƟƉŽ�ĚĞ�ŵĂƚĞƌŝĂů�ƵƟůŝnjĂĚŽ�
ŶĂ�ĚŽƉĂŐĞŵ�ĚŽ�ƐĞŵŝĐŽŶĚƵƚŽƌ͕ �ƉŽƌ�ĞdžĞŵƉůŽ͕�
ŐĄůŝŽ͕� ĂůƵŵşŶŝŽ͕� ĂƌƐġŶŝŽ͕� ĨſƐĨŽƌŽ͕� şŶĚŝŽ� ŽƵ�
ŶŝƚƌŽŐġŶŝŽ͘�
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B //͕�ĂƉĞŶĂƐ͘
C /�Ğ�///͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R17201426*
27
�E'�E,�Z/���>�dZ/��
QUESTÃO 30
�ŵ� Ƶŵ� ƐŝƐƚĞŵĂ� ĚĞ� ĂƵƚŽŵĂĕĆŽ� ŝŶĚƵƐƚƌŝĂů͕� Ƶŵ�
ŵŽƚŽƌ� ƐĞƌĄ� ůŝŐĂĚŽ� ƋƵĂŶĚŽ� ŽĐŽƌƌĞƌ� ĚĞƚĞƌŵŝŶĂĚĂƐ�
ĐŽŵďŝŶĂĕƁĞƐ�ĚŽ�ĂĐŝŽŶĂŵĞŶƚŽ�ĚĞ�ĐŚĂǀĞƐ�Ğ�ƐĞŶƐŽƌĞƐ͘�
�ĞƐƐĂ� ĨŽƌŵĂ͕� ĚĞǀĞƌĄ� ƐĞƌ� ĐƌŝĂĚĂ� ƵŵĂ� ĨƵŶĕĆŽ� ůſŐŝĐĂ�
ĐŽŵďŝŶĂĐŝŽŶĂů� y� с� Ĩ� ;�͕� �͕� �͕� �Ϳ͕� Ğŵ� ƋƵĞ� �� Ğ� ��
ƌĞƉƌĞƐĞŶƚĂŵ�ĐŚĂǀĞƐ͕���Ğ���ƌĞƉƌĞƐĞŶƚĂŵ�ƐĞŶƐŽƌĞƐ�Ğ�y�
ƌĞƉƌĞƐĞŶƚĂ�Ž�ĂĐŝŽŶĂŵĞŶƚŽ�ĚŽ�ŵŽƚŽƌ͘
WĂƌĂ�ŝƐƐŽ͕�ĐŽŶƐƚƌƵŝƵͲƐĞ�Ă�dĂďĞůĂ�sĞƌĚĂĚĞ�ĚĂƐ�ǀĂƌŝĄǀĞŝƐ�
ĞŶǀŽůǀŝĚĂƐ͕�ĐŽŶĨŽƌŵĞ�ŵŽƐƚƌĂĚŽ�ĂďĂŝdžŽ͘
EĂ� dĂďĞůĂ� sĞƌĚĂĚĞ͕� �͕� �͕� �� Ğ� �� ƐĆŽ� ĂƐ� ĞŶƚƌĂĚĂƐ� Ğ�
y� Ġ� Ă� ƐĂşĚĂ͘�K� ƐşŵďŽůŽ�? ƌĞƉƌĞƐĞŶƚĂ� Ă� ĐŽŶĚŝĕĆŽ�ĚĞ�
ĚŽŶ͛ƚ�ĐĂƌĞ�ŽƵ�não importa�ƉĂƌĂ�Ă�ƐĂşĚĂ�y͘�K�ƐşŵďŽůŽ� ’
ƌĞƉƌĞƐĞŶƚĂ� ŝŶǀĞƌƐĆŽ� ůſŐŝĐĂ͘� �ĞƐƐĂ� ĨŽƌŵĂ͕� �’͕� ƉŽƌ�
ĞdžĞŵƉůŽ͕�ƐŝŐŶŝĮĐĂ���ŝŶǀĞƌƟĚŽ�ŽƵ�ĐŽŵƉůĞŵĞŶƚĂĚŽ͘
A B C D X
0 0 0 0 0 0
1 0 0 0 1 0
2 0 0 1 0 0
3 0 0 1 1 ?
4 0 1 0 0 0
5 0 1 0 1 ?
6 0 1 1 0 ?
7 0 1 1 1 ?
8 1 0 0 0 0
9 1 0 0 1 1
10 1 0 1 0 1
11 1 0 1 1 ?
12 1 1 0 0 1
13 1 1 0 1 ?
14 1 1 1 0 ?
15 1 1 1 1 ?
��ĞdžƉƌĞƐƐĆŽ�ůſŐŝĐĂ�ŵŝŶŝŵŝnjĂĚĂ�ƉĂƌĂ�Ă�ĨƵŶĕĆŽ�y�ƉŽĚĞ�
ƐĞƌ�ƌĞƉƌĞƐĞŶƚĂĚĂ�ƉŽƌ
A y�с����н����н���͘
B y�с��’��н��’��н��’�͘
C y�с����’�н��’���н���͘
D y�с���’��н����’�н���͘
E y�с���’�’��н���’�’��н���’��’.
QUESTÃO 31
�� ůĞǀŝƚĂĕĆŽ� ŵĂŐŶĠƟĐĂ� ;maglevͿ� Ġ� ƵŵĂ� ĨŽƌŵĂ� ĚĞ�
ůĞǀŝƚĂƌ� ŽďũĞƚŽƐ͕� Ă� ƉĂƌƟƌ� ĚĞ� ĐĂŵƉŽƐ� ŵĂŐŶĠƟĐŽƐ͕�
ĚĞ� ŵŽĚŽ� ƐŝůĞŶĐŝŽƐŽ� Ğ� ƐĞŵ� ŶĞĐĞƐƐŝĚĂĚĞ� ĚŽ� ƵƐŽ� ĚĞ�
ĐŽŵďƵƐơǀĞŝƐ͘� WĂşƐĞƐ͕� ĐŽŵŽ� :ĂƉĆŽ� Ğ� �ůĞŵĂŶŚĂ͕�
ƚġŵ� ŝŶǀĞƐƟĚŽ� ďŝůŚƁĞƐ� ĚĞ� ĚſůĂƌĞƐ� Ğŵ� ƉĞƐƋƵŝƐĂƐ� Ğ�
ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ� ŶĞƐƐĂ� ĄƌĞĂ͕� ƉƌŝŶĐŝƉĂůŵĞŶƚĞ� ĐŽŵ�
ĨŽĐŽ�ŶŽ�ƚƌĞŵ�maglev.
^ŽďƌĞ� ŽƐ� ĨĞŶƀŵĞŶŽƐ� ĞůĞƚƌŽŵĂŐŶĠƟĐŽƐ� ĞŶǀŽůǀŝĚŽƐ�
ŶĞƐƐĞ�ƟƉŽ�ĚĞ�ůĞǀŝƚĂĕĆŽ͕�ĂƐƐŝŶĂůĞ�Ă�ĂůƚĞƌŶĂƟǀĂ�ĐŽƌƌĞƚĂ͘
A KƐ�ĐĂŵƉŽƐ�ŵĂŐŶĠƟĐŽƐ�ŶĞĐĞƐƐĄƌŝŽƐ�ƉĂƌĂ�ƐĞ�ŽďƚĞƌ�
Ă� ůĞǀŝƚĂĕĆŽ� ŵĂŐŶĠƟĐĂ͕� Ğŵ� ŐĞƌĂů͕� ƐĆŽ� ƉŽƵĐŽ�
ŝŶƚĞŶƐŽƐ͘
B DĂƚĞƌŝĂŝƐ�ĐŽŵ�ƉƌŽƉƌŝĞĚĂĚĞ�ƐƵƉĞƌĐŽŶĚƵƚŽƌĂ�ŶĆŽ�
ƐĆŽ� ŝŶĚŝĐĂĚŽƐ� ŶĞƐƐĞ� ƟƉŽ� ĚĞ� ůĞǀŝƚĂĕĆŽ͕� ƵŵĂ� ǀĞnj�
ƋƵĞ�ĞůĞƐ�ƌĞƉĞůĞŵ�Ž�ĐĂŵƉŽ�ŵĂŐŶĠƟĐŽ͘
C WĂƌĂ�ƋƵĞ�Ă�ůĞǀŝƚĂĕĆŽ�ƐĞũĂ�ŐĂƌĂŶƟĚĂ͕�Ġ�ŶĞĐĞƐƐĄƌŝŽ�
ƋƵĞ� Ă� ĨŽƌĕĂ� ƌĞƉƵůƐŝǀĂ� ƐŽďƌĞ� Ƶŵ� ŽďũĞƚŽ�
ĚŝĂŵĂŐŶĠƟĐŽ� ƐĞũĂ�ŵĞŶŽƌ� ĚŽ� ƋƵĞ� Ž� ƉĞƐŽ� ĚĞƐƐĞ�
ŽďũĞƚŽ͘
D �� ůĞǀŝƚĂĕĆŽ� ĞŵƉƌĞŐĂ� Ž� ĚŝĂŵĂŐŶĞƟƐŵŽ͕�
ƉƌŽƉƌŝĞĚĂĚĞ�ƋƵĞ�ĂůŐƵŶƐ�ŵĂƚĞƌŝĂŝƐ�ƉŽƐƐƵĞŵ�ĚĞ�ƐĞ�
ŵĂŐŶĞƟnjĂƌĞŵ�Ğŵ�ŽƉŽƐŝĕĆŽ�ĂŽ�ĐĂŵƉŽ�ŵĂŐŶĠƟĐŽ�
ĂƉůŝĐĂĚŽ͕�ƌĞƉĞůŝŶĚŽͲƐĞ�ŵƵƚƵĂŵĞŶƚĞ͘
E WĂƌĂ� Ă� ĂƉůŝĐĂďŝůŝĚĂĚĞ� Ğŵ� ǀĞşĐƵůŽƐ� ;ĐŽŵŽ� ƚƌĞŶƐ͕�
ƉŽƌ�ĞdžĞŵƉůŽͿ͕�Ă�ůĞǀŝƚĂĕĆŽ�ŵĂŐŶĠƟĐĂ�Ġ�ƐƵĮĐŝĞŶƚĞ�
ƉĂƌĂ� Ă� ůŽĐŽŵŽĕĆŽ͕� ƐĞŶĚŽ� ĚŝƐƉĞŶƐĄǀĞů� Ž� ƵƐŽ� ĚĞ�
Ƶŵ�ŵŽƚŽƌ�ĚĞ�ƉƌŽƉƵůƐĆŽ͘
ÁREALIVRE
*R17201427*
Ϯϴ
�E'�E,�Z/���>�dZ/��
Prezado(a) estudante,
ϭ͘� �� ƐĞŐƵŝƌ͕ � ƐĞƌĄ� ĂƉƌĞƐĞŶƚĂĚŽ� Ƶŵ� ĐŽŶũƵŶƚŽ� ĚĞ� ƋƵĞƐƚƁĞƐ� ĚĞ� ŵƷůƟƉůĂ� ĞƐĐŽůŚĂ� ;ŽďũĞƟǀĂƐͿ� ƌĞůĂƟǀĂƐ� ĂŽ�
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ�WƌŽĮƐƐŝŽŶĂůŝnjĂŶƚĞ�ĚŽƐ�ĐƵƌƐŽƐ�ĚĞ��ŶŐĞŶŚĂƌŝĂ��ůĠƚƌŝĐĂ͘
Ϯ͘� WĂƌĂ�ĐĂĚĂ�ƵŵĂ�ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĚĞ�ϯϮ�Ă�ϯϱ͕�ǀŽĐġ�ƚĞŵ�ƋƵĂƚƌŽ�ŽƉĕƁĞƐ�ƉĂƌĂ�ĞƐĐŽůŚĞƌ�ůŝǀƌĞŵĞŶƚĞ͗�^ŝƐƚĞŵĂƐ�ĚĞ�
�ŶĞƌŐŝĂ��ůĠƚƌŝĐĂ�ou��ůĞƚƌƀŶŝĐĂ�ou��ŽŶƚƌŽůĞ�Ğ��ƵƚŽŵĂĕĆŽ ou dĞůĞĐŽŵƵŶŝĐĂĕƁĞƐ͕�ĐŽŶĨŽƌŵĞ�ŵŽƐƚƌĂĚŽ�Ă�ƐĞŐƵŝƌ͘
Número da questão
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ�WƌŽĮƐƐŝŽŶĂůŝnjĂŶƚĞ
Opções de escolha
ϯϮ
Ͳ�^ŝƐƚĞŵĂƐ�ĚĞ��ŶĞƌŐŝĂ��ůĠƚƌŝĐĂ�ou
Ͳ��ůĞƚƌƀŶŝĐĂ�ou
Ͳ��ŽŶƚƌŽůĞ�Ğ��ƵƚŽŵĂĕĆŽ ou
Ͳ�dĞůĞĐŽŵƵŶŝĐĂĕƁĞƐ
ϯϯ
Ͳ�^ŝƐƚĞŵĂƐ�ĚĞ��ŶĞƌŐŝĂ��ůĠƚƌŝĐĂ ou
Ͳ��ůĞƚƌƀŶŝĐĂ�ou
Ͳ��ŽŶƚƌŽůĞ�Ğ��ƵƚŽŵĂĕĆŽ�ou
Ͳ�dĞůĞĐŽŵƵŶŝĐĂĕƁĞƐ
ϯϰ
Ͳ�^ŝƐƚĞŵĂƐ�ĚĞ��ŶĞƌŐŝĂ��ůĠƚƌŝĐĂ�ou
Ͳ��ůĞƚƌƀŶŝĐĂ�ou
Ͳ��ŽŶƚƌŽůĞ�Ğ��ƵƚŽŵĂĕĆŽ ou
Ͳ�dĞůĞĐŽŵƵŶŝĐĂĕƁĞƐ
ϯϱ
Ͳ�^ŝƐƚĞŵĂƐ�ĚĞ��ŶĞƌŐŝĂ��ůĠƚƌŝĐĂ�ou
Ͳ��ůĞƚƌƀŶŝĐĂ�ou
Ͳ��ŽŶƚƌŽůĞ�Ğ��ƵƚŽŵĂĕĆŽ ou
Ͳ�dĞůĞĐŽŵƵŶŝĐĂĕƁĞƐ
ϯ͘�� �ĞƐƐĞ� ĐŽŶũƵŶƚŽ͕� ǀŽĐġ�ĚĞǀĞ�ĞƐĐŽůŚĞƌ��W�E�^�ϭ� ;ƵŵĂͿ�ƋƵĞƐƚĆŽ�ŶǑ�ϯϮ͕��W�E�^�ϭ� ;ƵŵĂͿ�ƋƵĞƐƚĆŽ�ŶǑ�ϯϯ͕�
�W�E�^�ϭ�;ƵŵĂͿ�ƋƵĞƐƚĆŽ�ŶǑ�ϯϰ�Ğ��W�E�^�ϭ�;ƵŵĂͿ�ƋƵĞƐƚĆŽ�ŶǑ�ϯϱ͕�ƚŽƚĂůŝnjĂŶĚŽ�ϰ�;ƋƵĂƚƌŽͿ�ƋƵĞƐƚƁĞƐ�Ă�ƐĞƌĞŵ�
ƌĞƐƉŽŶĚŝĚĂƐ͘
4. �ƐƐŝŶĂůĞ�ƐƵĂƐ�ƌĞƐƉŽƐƚĂƐ�ŶŽƌŵĂůŵĞŶƚĞ�ŶŽƐ�ĞƐƉĂĕŽƐ�ĐŽƌƌĞƐƉŽŶĚĞŶƚĞƐ�ăƐ�ƋƵĞƐƚƁĞƐ�ŶŽ��ĂĚĞƌŶŽ�ĚĞ�ZĞƐƉŽƐƚĂƐ͘
ATENÇÃO!
*R17201428*
29
�E'�E,�Z/���>�dZ/��
QUESTÃO 32 - Sistemas de Energia Elétrica
�Ɛ� ĮŐƵƌĂƐ� Ă� ƐĞŐƵŝƌ� ŵŽƐƚƌĂŵ� ĞƐƋƵĞŵĂƐ� ơƉŝĐŽƐ�
ƵƟůŝnjĂĚŽƐ� Ğŵ� ƌĞĚĞƐ� ĚĞ� ĚŝƐƚƌŝďƵŝĕĆŽ͕� ĞŵƉƌĞŐĂŶĚŽ�
ĂƌƌĂŶũŽƐ�ĐŽŵ�ƐƵƉƌŝŵĞŶƚŽ�ƷŶŝĐŽ�Ğ�ĂƌƌĂŶũŽƐ�ĐŽŵ�ĚƵĂƐ�
ĨŽŶƚĞƐ�ĚĞ�ƐƵƉƌŝŵĞŶƚŽ�Ğ�ƐƵĂƐ�ƌĞƐƉĞĐƟǀĂƐ�ĐŚĂǀĞƐ͘
<�'�E͕�E͕͘�K>/s�/Z�͕��͘��͘��͕͘�ZK���͕��͘�:͘͘�Introdução aos sistemas 
de distribuição de energia elétrica͘�Ϯ͘ĞĚ͘�^ĆŽ�WĂƵůŽ͗�
�ůƵĐŚĞƌ͕ �ϮϬϭϬ͕�Ɖ͘�ϴͲϭϭ͘�;ĂĚĂƉƚĂĚŽͿ�
�ŽŶƐŝĚĞƌĂŶĚŽ� ĂƐ� ƌĞĚĞƐ� ĂƉƌĞƐĞŶƚĂĚĂƐ͕� ĂǀĂůŝĞ� ĂƐ�
ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� EĂ�ƌĞĚĞ�ϭ͕�ƋƵĂůƋƵĞƌ�ĚĞĨĞŝƚŽ�ŶĂ�ƌĞĚĞ�ŽĐĂƐŝŽŶĂ�
Ă�ŝŶƚĞƌƌƵƉĕĆŽ�ĚĞ�ĨŽƌŶĞĐŝŵĞŶƚŽ�ă�ƐƵďĞƐƚĂĕĆŽ͘
//͘� EĂ�ƌĞĚĞ�Ϯ͕�ƉĂƌĂ�ĚĞĨĞŝƚŽƐ�Ă�ŵŽŶƚĂŶƚĞ�ĚĞ�ƵŵĂ�
ĚĂƐ�ďĂƌƌĂƐ�ĞdžƚƌĞŵĂƐ�ĚĂ�ƌĞĚĞ�ĚĞ�ĚŝƐƚƌŝďƵŝĕĆŽ͕�
Ž� ƐƵƉƌŝŵĞŶƚŽ� ĚĂ� ĐĂƌŐĂ� ŶĆŽ� Ġ� ŝŶƚĞƌƌŽŵƉŝĚŽ�
ƉĞƌŵĂŶĞŶƚĞŵĞŶƚĞ͘
///͘� EĂ�ƌĞĚĞ�ϯ͕�Ƶŵ�ĚĞĨĞŝƚŽ�ŶŽ�ďĂƌƌĂŵĞŶƚŽ�ĚĞ�ĂůƚĂ�
ĚĂ� ƐƵďĞƐƚĂĕĆŽ� ŝŵƉƁĞ� Ž� ƐĞĐĐŝŽŶĂŵĞŶƚŽ� ĚĂ�
ƌĞĚĞ͕� ƉĞůŽ� ĨĞĐŚĂŵĞŶƚŽ� ĚĂƐ� ĚƵĂƐ� ĐŚĂǀĞƐ� ĚĞ�
ĞŶƚƌĂĚĂ͘
/s͘ � K�ĂƌƌĂŶũŽ�ĚĂ�ƌĞĚĞ�ϰ�Ġ�ĐŽŶŚĞĐŝĚŽ�ĐŽŵŽ�ƐĂŶŐƌŝĂ�
ĚĂ�ůŝŶŚĂ͕�ƵƟůŝnjĂĚŽ�Ğŵ�ƌĞŐŝƁĞƐ�ŽŶĚĞ�ŚĄ�ǀĄƌŝŽƐ�
ĐĞŶƚƌŽƐ�ĚĞ�ĐĂƌŐĂ͕�ĐŽŵ�ĂůƚĂ�ĚĞŶƐŝĚĂĚĞ�ĚĞ�ĐĂƌŐĂ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�//͘
B //�Ğ�/s͘
C ///�Ğ�/s͘
D /͕�//�Ğ�///͘
E /͕�///�Ğ�/s͘ �
QUESTÃO 32 - Eletrônica
hŵ�ĞŶŐĞŶŚĞŝƌŽ�ƌĞĐĠŵͲĐŽŶƚƌĂƚĂĚŽ�Ğŵ�ƵŵĂ�ĞŵƉƌĞƐĂ�
Ġ� ŝŶĐƵŵďŝĚŽ� ĚĞ� ƉƌŽũĞƚĂƌ� Ƶŵ� ŶŽǀŽ� ƐŝƐƚĞŵĂ� ĚĞ�
ƐĞŶƐŽƌŝĂŵĞŶƚŽ� ƉĂƌĂ� Ă� ŵĞĚŝĕĆŽ� ĚĞ� ƚĞŵƉĞƌĂƚƵƌĂ�
Ğŵ�ƵŵĂ�ĚĂƐ� ůŝŶŚĂƐ�ĚĞ�ƉƌŽĚƵĕĆŽ�ĚĂ� ĨĄďƌŝĐĂ͘��� ĨĂŝdžĂ�
ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�Ă�ƐĞƌ�ŵĞĚŝĚĂ�Ġ�ĚĞ�ϮϱϬ�Ž��Ă�ϰϱϬ�Ž�͕�
ĐŽŵ�ƉƌĞĐŝƐĆŽ�ĚĞ�цϮ�Ž�͘�WĂƌĂ�ĂƚĞŶĚĞƌ�ĞƐƐĂ�ĚĞŵĂŶĚĂ͕�
Ž� ĞŶŐĞŶŚĞŝƌŽ� ƵƟůŝnjĂ� Ƶŵ� ƐĞŶƐŽƌ� ƌĞƐŝƐƟǀŽ͕� ĐƵũĂ�
ƌĞƐŝƐƚġŶĐŝĂ�ǀĂƌŝĂ� ůŝŶĞĂƌŵĞŶƚĞ�ĚĞ�ϮϴϬ�Ÿ� � Ă�ϭ�ϬϬϬ�Ÿ
ŶĂ�ĨĂŝdžĂ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�Ă�ƐĞƌ�ŵĞĚŝĚĂ͘���Įŵ�ĚĞ�ŶĆŽ�
ĚĂŶŝĮĐĂƌ� Ž� ƐĞŶƐŽƌ͕ � Ă� ƉŽƚġŶĐŝĂ� ŶĞůĞ� ĚŝƐƐŝƉĂĚĂ� ĚĞǀĞ�
ĮĐĂƌ�ĂďĂŝdžŽ�ĚĞ�ϱ�ŵt͘���ƐĂşĚĂ�ĚŽ�ƐĞŶƐŽƌ�Ġ� ůŝŐĂĚĂ�Ă�
Ƶŵ�ĐŝƌĐƵŝƚŽ�ĐŽŶĚŝĐŝŽŶĂĚŽƌ�ĚĞ�ƐŝŶĂŝƐ͕�ĐƵũĂ�ƐĂşĚĂ�ǀĂƌŝĂ�
ůŝŶĞĂƌŵĞŶƚĞ�ĚĞ��ϲ�s�Ă�нϲ�s�ŶĂ�ĨĂŝdžĂ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�
Ă�ƐĞƌ�ŵĞĚŝĚĂ͘
�Žŵ�ďĂƐĞ�ŶŽƐ�ĚĂĚŽƐ� ĂĐŝŵĂ͕� ĂǀĂůŝĞ� ĂƐ� ĂĮƌŵĂĕƁĞƐ� Ă�
ƐĞŐƵŝƌ͘
/͘� ��ƐĂşĚĂ�ĚŽ�ƐŝƐƚĞŵĂ�ǀĂƌŝĂ�Ă�ƵŵĂ�ƚĂdžĂ�Ϯϱ�ŵsͬ�Ÿ.
//͘� �� ƉƌĞĐŝƐĆŽ� ĚŽ� ƐŝƐƚĞŵĂ� ĚĞ�ŵĞĚŝĕĆŽ� ĚĞǀĞ� ƐĞƌ�
ŵĂŝŽƌ�ĚŽ�ƋƵĞ�цϬ͕ϴй͘
///͘� �� ĐŽƌƌĞŶƚĞ�ŶŽ� ƐĞŶƐŽƌ�ĚĞ� ƐĞƌ�ŵĂŶƟĚĂ�ĂďĂŝdžŽ�
ĚĞ�Ϯ�ŵ�͘
/s͘ � K�ƐĞŶƐŽƌ�ĚĞǀĞ�ǀĂƌŝĂƌ�ĚĞ�ϯ͕ϲ�ŸͬŽ��ƉĂƌĂ�ŵĂŶƚĞƌ�
Ă�ƉƌĞĐŝƐĆŽ�ĚĞ�ŵĞĚŝĕĆŽ�ĚĂ�ƚĞŵƉĞƌĂƚƵƌĂ͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A /�Ğ�///͘
B //�Ğ�///͘
C //�Ğ�/s͘
D /͕�//�Ğ�/s͘
E /͕�///�Ğ�/s͘
ÁREA LIVRE
*R17201429*
ϯϬ
�E'�E,�Z/���>�dZ/��
QUESTÃO 32 - Controle e Automação
EĂ�ƚĞŶƚĂƟǀĂ�ĚĞ�ŽďƚĞƌ�Ƶŵ�ŵŽĚĞůŽ�ŵĂƚĞŵĄƟĐŽ�ƌĞĨĞ-
ƌĞŶƚĞ�Ă�Ƶŵ�ƐŝƐƚĞŵĂ�ĚŝŶąŵŝĐŽ�ůŝŶĞĂƌ�Ğ�ŝŶǀĂƌŝĂŶƚĞ�ŶŽ�
ƚĞŵƉŽ͕�Ƶŵ�ĞŶŐĞŶŚĞŝƌŽ�ƵƟůŝnjŽƵ�ƵŵĂ�ƚĠĐŶŝĐĂ�ĚĞ�ŵŽ-
ĚĞůĂŐĞŵ�ďĂƐĞĂĚĂ�ŶĂ�İƐŝĐĂ�ĚŽ�ƉƌŽĐĞƐƐŽ͕�ŽďƚĞŶĚŽ�Ƶŵ�
ŵŽĚĞůŽ�ĚĞ�ƚĞƌĐĞŝƌĂ�ŽƌĚĞŵ͘��Ž�ƐŝŵƵůĂƌ�Ž�ŵŽĚĞůŽ�Ă�
ƵŵĂ�ĞŶƚƌĂĚĂ�ĂŽ�ĚĞŐƌĂƵ͕�Ž�ĞŶŐĞŶŚĞŝƌŽ�ŽďƐĞƌǀŽƵ�ƋƵĞ�
Ă�ƌĞƐƉŽƐƚĂ�ĚŽ�ŵĞƐŵŽ�ƐĞ�ĂƉƌŽdžŝŵĂǀĂ�ĚĂ�ƌĞƐƉŽƐƚĂ�ĚĞ�
Ƶŵ�ƐŝƐƚĞŵĂ�ĚĞ�ƐĞŐƵŶĚĂ�ŽƌĚĞŵ͘
EŽ� ƋƵĞ� ĐŽŶĐĞƌŶĞ� ă� ǀĂůŝĚĂĚĞ� ĚĞ� ƚĂů� ĂƉƌŽdžŝŵĂĕĆŽ͕�
ĂǀĂůŝĞ� ĂƐ� ĂƐƐĞƌĕƁĞƐ� Ă� ƐĞŐƵŝƌ� Ğ� Ă� ƌĞůĂĕĆŽ� ƉƌŽƉŽƐƚĂ�
ĞŶƚƌĞ�ĞůĂƐ͘
/͘� hŵ� ƉƌŽĐĞĚŝŵĞŶƚŽ� ƉŽƐƐşǀĞů� ƉĂƌĂ� ǀĞƌŝĮĐĂƌ�
Ă� ǀĂůŝĚĂĚĞ� ĚĞ� ƵŵĂ� ĂƉƌŽdžŝŵĂĕĆŽ� ĚĞ� ŽƌĚĞŵ�
ŝŶĨĞƌŝŽƌ� Ġ� ĂŶĂůŝƐĂƌ� Ă� ĚŽŵŝŶąŶĐŝĂ�ŵŽĚĂů͕� ƉŽƌ�
ŵĞŝŽ�ĚĂ�ŽďƐĞƌǀĂĕĆŽ�ĚĂƐ�ĐŽŶƐƚĂŶƚĞƐ�ĚĞ�ƚĞŵƉŽ�
ĞŶǀŽůǀŝĚĂƐ͘
PORQUE
//͘� ^Ğ� ĞdžŝƐƟƌ� ƵŵĂ� ĐŽŶƐƚĂŶƚĞ� ĚĞ� ƚĞŵƉŽ� ŵƵŝƚŽ�
ŵĞŶŽƌ� ĚŽ� ƋƵĞ� Ă�ŵĂŝŽƌ� ĐŽŶƐƚĂŶƚĞ� ĚĞ� ƚĞŵƉŽ�
ĂƐƐŽĐŝĂĚĂ� ĂŽ� ƉŽůŽ� ĚŽŵŝŶĂŶƚĞ͕� ĞƐƐĞ� ŵŽĚŽ�
ƉŽĚĞ�ƐĞƌ�ĚĞƐĐĂƌƚĂĚŽ͘�
��ƌĞƐƉĞŝƚŽ�ĚĞƐƐĂƐ�ĂƐƐĞƌĕƁĞƐ͕�ĂƐƐŝŶĂůĞ�Ă�ŽƉĕĆŽ�ĐŽƌƌĞƚĂ͘
A �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ǀĞƌĚĂĚĞŝƌĂƐ͕�Ğ�
Ă�//�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
B �Ɛ�ĂƐƐĞƌĕƁĞƐ� /� Ğ� //� ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ� ǀĞƌĚĂĚĞŝƌĂƐ͕�
ŵĂƐ�Ă�//�ŶĆŽ�Ġ�ƵŵĂ�ũƵƐƟĮĐĂƟǀĂ�ĐŽƌƌĞƚĂ�ĚĂ�/͘
C ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͕�Ğ�Ă�//�Ġ�
ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͘
D ��ĂƐƐĞƌĕĆŽ�/�Ġ�ƵŵĂ�ƉƌŽƉŽƐŝĕĆŽ�ĨĂůƐĂ͕�Ğ�Ă�//�Ġ�ƵŵĂ�
ƉƌŽƉŽƐŝĕĆŽ�ǀĞƌĚĂĚĞŝƌĂ͘
E �Ɛ�ĂƐƐĞƌĕƁĞƐ�/�Ğ�//�ƐĆŽ�ƉƌŽƉŽƐŝĕƁĞƐ�ĨĂůƐĂƐ͘
ÁREA LIVRE
QUESTÃO 32 - Telecomunicações
��ĞŵŝƐƐĆŽ�ĚĞ�ŽŶĚĂƐ� ĞůĞƚƌŽŵĂŐŶĠƟĐĂƐ� ŶŽ� ĞƐƉĂĕŽ� Ġ�
ŽďƟĚĂ͕� ĚĞ�ŵĂŶĞŝƌĂ�ŵĂŝƐ� ĞĮĐŝĞŶƚĞ͕� ĐŽŵ� Ă� ĂũƵĚĂ� ĚĞ�
ĞƐƚƌƵƚƵƌĂƐ� ĐŽŶĚƵƚŽƌĂƐ� ŽƵ� ĚŝĞůĠƚƌŝĐĂƐ� ĐŽŶŚĞĐŝĚĂƐ�
ĐŽŵŽ� ĂŶƚĞŶĂƐ͘� DŽĚĞůŽƐ� ơƉŝĐŽƐ� ĚĞ� ĂŶƚĞŶĂƐ� ƐĆŽ�
ŵŽƐƚƌĂĚŽƐ�ŶĂƐ�ĮŐƵƌĂƐ�ĂďĂŝdžŽ͘
^��/<h͕�D͘�E͘�K͖͘��ůĞŵĞŶƚŽƐ�ĚĞ��ůĞƚƌŽŵĂŐŶĞƟƐŵŽ͕�ϱ�ĞĚ͘�
WŽƌƚŽ��ůĞŐƌĞ͗��ŽŽŬŵĂŶ͕�ϮϬϭϮ͕�Ɖ͘ϱϰϮ͘
dŽĚŽƐ� ĞƐƐĞƐ� ŵŽĚĞůŽƐ� ĂƉƌĞƐĞŶƚĂŵ� ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�
ŝŵƉŽƌƚĂŶƚĞƐ� ƋƵĞ� ŽƐ� ƋƵĂůŝĮĐĂŵ� ĐŽŵŽ� ŝƌƌĂĚŝĂĚŽƌĞƐ�
ĚĞ� ĞŶĞƌŐŝĂ� ĞůĞƚƌŽŵĂŐŶĠƟĐĂ͘� �ƐƐĂƐ� ĐĂƌĂĐƚĞƌşƐƟĐĂƐ�
ŝŶĐůƵĞŵ͗� ĚŝĂŐƌĂŵĂ� ĚĞ� ƌĂĚŝĂĕĆŽ͕� ĞĮĐŝġŶĐŝĂ͕�
ĚŝƌĞƟǀŝĚĂĚĞ� Ğ� ŐĂŶŚŽ� ĚĞ� ƉŽƚġŶĐŝĂ͘� �Žŵ� ƌĞůĂĕĆŽ� ĂŽ�
ĂƐƐƵŶƚŽ͕�Ž�ŐĂŶŚŽ�ĚĞ�ƉŽƚġŶĐŝĂ�ĚĞ�ƵŵĂ�ĂŶƚĞŶĂ͕�ŵĞĚŝĚŽ�
ŶĂ�ƌĞŐŝĆŽ�ĚĞ�ĐĂŵƉŽ�ĚŝƐƚĂŶƚĞ͕�ƉŽĚĞ�ƐĞƌ�ĚĞĮŶŝĚŽ�ĐŽŵŽ�
Ă�ƌĂnjĆŽ�ĞŶƚƌĞ
A Ă� ŝŶƚĞŶƐŝĚĂĚĞ� ĚĞ� ŝƌƌĂĚŝĂĕĆŽ� ĚĞ� ƵŵĂ� ĂŶƚĞŶĂ� Ğ� Ă�
ŝŶƚĞŶƐŝĚĂĚĞ�ŝƌƌĂĚŝĂĚĂ�ƉŽƌ�ƵŵĂ�ĂŶƚĞŶĂ�ŝƐŽƚƌſƉŝĐĂ͕�
ĐŽŵ�Ă�ŵĞƐŵĂ�ƉŽƚġŶĐŝĂ�ŶĂ�ĞŶƚƌĂĚĂ�ĚĂ�ĂŶƚĞŶĂ͘
B Ă� ƉŽƚġŶĐŝĂ� ŶĂ� ĞŶƚƌĂĚĂ� ĚĂ� ĂŶƚĞŶĂ� Ğ� Ă� ƉŽƚġŶĐŝĂ�
ŝƌƌĂĚŝĂĚĂ� ƉĞůĂ� ĂŶƚĞŶĂ� Ğŵ� ƵŵĂ� ĚĞƚĞƌŵŝŶĂĚĂ�
ĚŝƌĞĕĆŽ͘
C Ă� ƉŽƚġŶĐŝĂ� ƚŽƚĂů͕� ĞŶƚƌĞŐƵĞ� ƉĞůŽ� ƚƌĂŶƐŵŝƐƐŽƌ� ŶĂ�
ĞŶƚƌĂĚĂ� ĚĂ� ĂŶƚĞŶĂ͕� Ğ� Ă� ƉŽƚġŶĐŝĂ� ƚŽƚĂů� ŝƌƌĂĚŝĂĚĂ�
ƉĞůĂ� ĂŶƚĞŶĂ� Ğŵ� ƚŽĚĂƐ� ĂƐ� ĚŝƌĞĕƁĞƐ� ĚŽ� ĞƐƉĂĕŽ�
İƐŝĐŽ͘
D Ă� ƉŽƚġŶĐŝĂ� ƚŽƚĂů͕� ĞŶƚƌĞŐƵĞ� ƉĞůŽ� ƚƌĂŶƐŵŝƐƐŽƌ� ŶĂ�
ĞŶƚƌĂĚĂ�ĚĂ�ĂŶƚĞŶĂ͕�Ğ�Ă�ƉŽƚġŶĐŝĂ� ƚŽƚĂů� ŝƌƌĂĚŝĂĚĂ͕�
ƌĞƉƌĞƐĞŶƚĂĚĂ� ƉĞůŽ� ĚŝĂŐƌĂŵĂ� ĚĞ� ƌĂĚŝĂĕĆŽ� ĚĂ�
ĂŶƚĞŶĂ͘
E Ă� ŝŶƚĞŶƐŝĚĂĚĞ� ĚĞ� ŝƌƌĂĚŝĂĕĆŽ� ŵĄdžŝŵĂ� Ğ� Ă�
ŝŶƚĞŶƐŝĚĂĚĞ�ĚĞ�ŝƌƌĂĚŝĂĕĆŽ�ŵĠĚŝĂ͘
*R17201430*
ϯϭ
�E'�E,�Z/���>�dZ/��
QUESTÃO 33 - Sistemas de Energia Elétrica
�hŵĂ�ůŝŶŚĂ�ĚĞ�ƚƌĂŶƐŵŝƐƐĆŽ�ĚĞ�ĞŶĞƌŐŝĂ�ĞůĠƚƌŝĐĂ�;>dͿ�ŝŶƚĞƌůŝŐĂ�ƵŵĂ�ƵƐŝŶĂ�ŚŝĚƌĞůĠƚƌŝĐĂ�;h,�Ϳ�Ğ�Ƶŵ�ĐĞŶƚƌŽ�ĚĞ�ĐĂƌŐĂ�
;^�Ϳ�ƋƵĞ�ĚĞŵĂŶĚĂ�ƉŽƚġŶĐŝĂ�ĂƟ�ǀĂ�Ğ�ƌĞĂƟ�ǀĂ�ĞƋƵŝǀĂůĞŶƚĞƐ�Ă�ϭ͕Ϭ�ƉƵ�Ğ�Ϭ͕Ϯ�ƉƵ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͕�ĐŽŵŽ�ŝůƵƐƚƌĂĚŽ�
ŶŽ�ĚŝĂŐƌĂŵĂ�ƵŶŝĮ�ůĂƌ�ĚĂ�Į�ŐƵƌĂ�Ă�ƐĞŐƵŝƌ͘ �^ĂďĞͲƐĞ�ƋƵĞ�ĞƐƐĂ�>d�Ġ�ĐƵƌƚĂ͕�ƉŽƐƐƵŝ�ƵŵĂ�ƌĞĂƚąŶĐŝĂ�ƐĠƌŝĞ�ĞƋƵŝǀĂůĞŶƚĞ�ĚĞ�
ǀĂůŽƌ�ŝŐƵĂů�Ă�Ϭ͕Ϯϱ�ƉƵ�Ğ�ƐƵĂƐ�ƉĞƌĚĂƐ�ƉŽĚĞŵ�ƐĞƌ�ĚĞƐƉƌĞnjĂĚĂƐ͘
UHE SE
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ƶŵ�ĞƐƚƵĚŽ�ĚĞ�Ň�ƵdžŽ�ĚĞ�ƉŽƚġŶĐŝĂ͕�ŽƵ�Ň�ƵdžŽ�ĚĞ�ĐĂƌŐĂ͕�ĚĞǀĞƌĄ�ƐĞƌ�ƌĞĂůŝnjĂĚŽ�ƉĂƌĂ�Ž�ƉůĂŶĞũĂŵĞŶƚŽ�
ĚĂ�ŽƉĞƌĂĕĆŽ�ĚĞƐƐĞ�^ŝƐƚĞŵĂ��ůĠƚƌŝĐŽ�ĚĞ�WŽƚġŶĐŝĂ�;^�WͿ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� ^ŽŵĞŶƚĞ�Ž�Ň�ƵdžŽ�ĚĞ�ƉŽƚġŶĐŝĂ�ĂƟ�ǀĂ�ŶĞƐƐĂ�>d�ĚĂƌͲƐĞͲĄ�ŶŽ�ƐĞŶƟ�ĚŽ�ĚĂ�ƵƐŝŶĂ�ŐĞƌĂĚŽƌĂ�ƉĂƌĂ�Ž�ĐĞŶƚƌŽ�ĚĞ�
ĐĂƌŐĂ͘
//͘� ��ƚĞŶƐĆŽ�ŶĂ�ďĂƌƌĂ�ĚĂ�ƵƐŝŶĂ�ŐĞƌĂĚŽƌĂ�ƐĞƌĄ�ŵĂŝŽƌ�ĚŽ�ƋƵĞ�ŶĂ�ďĂƌƌĂ�ĚŽ�ĐĞŶƚƌŽ�ĚĞ�ĐĂƌŐĂ͘
///͘� K�Ň�ƵdžŽ�ĚĞ�ƉŽƚġŶĐŝĂ�ƌĞĂƟ�ǀĂ�ĚĂ�ďĂƌƌĂ�ĚĂ�ƵƐŝŶĂ�ŐĞƌĂĚŽƌĂ�ƉĂƌĂ�Ž�ĐĞŶƚƌŽ�ĚĞ�ĐĂƌŐĂ�ƚĞƌĄ�ǀĂůŽƌ�ŵĂŝŽƌ�ĚŽ�ƋƵĞ�
Ϭ͕Ϯ�ƉƵ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D //�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
ÁREA LIVRE 
*R17201431*
ϯϮ
�E'�E,�Z/���>�dZ/��
QUESTÃO 33 - Eletrônica
&Žŝ� ƐŽůŝĐŝƚĂĚŽ� Ă� Ƶŵ� ĞŶŐĞŶŚĞŝƌŽ� Ž� ƉƌŽũĞƚŽ� ĚĞ� Ƶŵ�
ĐŽŶǀĞƌƐŽƌ� ��Ͳ��� ĐĂƉĂnj� ĚĞ� ĞůĞǀĂƌ� Ă� ƚĞŶƐĆŽ� ĚĞ� Ƶŵ�
ďĂŶĐŽ�ĚĞ�ϲ�ďĂƚĞƌŝĂƐ�ĚĞ�ϭϮ�s͕�ĐŽŶĞĐƚĂĚĂƐ�Ğŵ�ƐĠƌŝĞ͕�
ĚĞ�ŵŽĚŽ�Ă�ƐĞ�ĂĚĞƋƵĂƌ�ĂŽ�ŶşǀĞů�ĚĞ�ƚĞŶƐĆŽ�ŶĞĐĞƐƐĄƌŝŽ�
ƉĂƌĂ�ĂůŝŵĞŶƚĂƌ�Ƶŵ�ĐŽŶǀĞƌƐŽƌ���Ͳ���Ğŵ�ϮϬϬ�s͘
�ůĠŵ� ĚĞ� ĂƚĞŶĚĞƌ� ĂŽ� ƌĞƋƵŝƐŝƚŽ� ďĄƐŝĐŽ� ĚĞ� ƌĞĂůŝnjĂƌ�
Ž� ĂũƵƐƚĞ� ĚĞ� ƚĞŶƐĆŽ� ŶĞĐĞƐƐĄƌŝŽ͕� ĐŽŶƐŝĚĞƌĂŶĚŽ� Ă�
ŽƉĞƌĂĕĆŽ�Ğŵ�ƌĞŐŝŵĞ�ƉĞƌŵĂŶĞŶƚĞ͕� ƐĞŵ�ƉĞƌĚĂƐ͕� ƐĆŽ�
ĞƐƉĞĐŝĮĐĂĕƁĞƐ�ĂĚŝĐŝŽŶĂŝƐ�ĚŽ�ƉƌŽũĞƚŽ͗
ͻ� Ă� ĐŽƌƌĞŶƚĞ� ĨŽƌŶĞĐŝĚĂ� ƉĞůĂƐ� ďĂƚĞƌŝĂƐ� ĚĞǀĞ�
ĂƉƌĞƐĞŶƚĂƌ�ƉĞƋƵĞŶĂ�ŽŶĚƵůĂĕĆŽ�;rippleͿ͖
ͻ� Ă�ƚĞŶƐĆŽ����ĚĞ�ƐĂşĚĂ�;VccͿ�ĚĞǀĞ�ƐĞƌ�ƉŽƐŝƟǀĂ�Ğŵ�
ƌĞůĂĕĆŽ�ĂŽ�ďĂŝdžŽ�ƉŽƚĞŶĐŝĂů�ĚĂ�ƚĞŶƐĆŽ�ĚĞ�ĞŶƚƌĂĚĂ�
;VbatͿ͖
ͻ� Ž�ĐŝƌĐƵŝƚŽ�ĚŽ�ĐŽŶǀĞƌƐŽƌ���Ͳ���ĚĞǀĞ�ƚĞƌ�ĐĂƉĂĐŝĚĂĚĞ�
ĚĞ�ƉƌŽƚĞĕĆŽ�ĐŽŶƚƌĂ�ĐƵƌƚŽͲĐŝƌĐƵŝƚŽ�ŶĂ�ƐĂşĚĂ͖
ͻ� Ž� ĐŽŶǀĞƌƐŽƌ� ĚĞǀĞ� ŽƉĞƌĂƌ� ĐŽŵ� ŵŽĚƵůĂĕĆŽ� ƉŽƌ�
ůĂƌŐƵƌĂ�ĚĞ�ƉƵůƐŽ͕�Ğŵ�ƋƵĞ�Ž�ĐŽŵĂŶĚŽ�ĚŽ�ƚƌĂŶƐŝƐƚŽƌ�
;DͿ� ƐĞ� ĚĄ� Ğŵ� ĨƌĞƋƵġŶĐŝĂ� ĮdžĂ͕� ĂůƚĞƌĂŶĚŽͲƐĞ�
Ž� ŝŶƚĞƌǀĂůŽ� ĚĞ� ƚĞŵƉŽ� Ğŵ� ƋƵĞ� Ž� ƚƌĂŶƐŝƐƚŽƌ�
ƉĞƌŵĂŶĞĐĞ�Ğŵ�ĐŽŶĚƵĕĆŽ͘�
�ŽŶƐŝĚĞƌĞ�Ă�ůĂƌŐƵƌĂ�ĚĞ�ƉƵůƐŽ�;δ Ϳ�ĐŽŵŽ�Ă�ƌĞůĂĕĆŽ�ĞŶƚƌĞ�
Ž�ŝŶƚĞƌǀĂůŽ�ĚĞ�ĐŽŶĚƵĕĆŽ�ĚŽ�ƚƌĂŶƐŝƐƚŽƌ�Ğ�Ž�ƉĞƌşŽĚŽ�ĚĞ�
ĐŽŵƵƚĂĕĆŽ͕�ĂƐƐƵŵŝŶĚŽ�ǀĂůŽƌĞƐ�ĞŶƚƌĞ�Ϭ�Ğ�ϭ͘
�ĂĚŽ�ƋƵĞ� ĨŽƌĂŵ�ŽŵŝƟĚŽƐ�ŽƐ� ĐŝƌĐƵŝƚŽƐ�ĚĞ� ĐŽŵĂŶĚŽ�
ĚŽƐ� ƚƌĂŶƐŝƐƚŽƌĞƐ͕� ĂƐƐŝŶĂůĞ� Ă� ĂůƚĞƌŶĂƟǀĂ� Ğŵ� ƋƵĞ� Ž�
ĐŽŶǀĞƌƐŽƌ���Ͳ���ĂƚĞŶĚĞ�ƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ�Ă�ƚŽĚŽƐ�ŽƐ�
ƌĞƋƵŝƐŝƚŽƐ�ĚŽ�ƉƌŽũĞƚŽ͘
A
|V cc| = V bat
1− δ
B
|V cc| = δ.V bat
1− δ
C
|V cc| = δ.V bat
1− δ
D
|V cc| = δ.V bat
1− δ
E
|V cc| = δ.V bat
*R17201432*
ϯϯ
�E'�E,�Z/���>�dZ/��
QUESTÃO 33 - Controle e Automação
�Žŵ� Ž� ƌĞĐĞŶƚĞ� ĚĞƐĐŽďƌŝŵĞŶƚŽ� ĚĞ� ŵĂŝƐ� ƌĞƐĞƌǀĂƐ�
ƉĞƚƌŽůşĨĞƌĂƐ� ŶŽ� ĨƵŶĚŽ� ĚŽ� ŵĂƌ͕ � Ă� ĚĞŵĂŶĚĂ� ƉŽƌ�
ƉĞƋƵĞŶŽƐ� ƐƵďŵĂƌŝŶŽƐ� ƚĞŵ� ĂƵŵĞŶƚĂĚŽ͘� EĞƐƐĞ�
ĐŽŶƚĞdžƚŽ͕� ŽƐ� ĞŶŐĞŶŚĞŝƌŽƐ� ĚĞ� ƵŵĂ� ĐŽŵƉĂŶŚŝĂ�
ĚĞĐŝĚŝƌĂŵ� ƉƌŽũĞƚĂƌ� Ž� ĐŽŶƚƌŽůĂĚŽƌ� ŵĂŝƐ� ƐŝŵƉůĞƐ�
ƋƵĞ� ƉƵĚĞƐƐĞŵ� ŝŵƉůĞŵĞŶƚĂƌ� ĐŽŵ� ĂŵƉůŝĮĐĂĚŽƌĞƐ�
ŽƉĞƌĂĐŝŽŶĂŝƐ�ƉĂƌĂ�ĐŽŶƚƌŽůĂƌ�Ă�ĨŽƌĕĂ F�ƋƵĞ�Ž�ŵŽƚŽƌ�ĚĞ�
ĞŵƉƵdžŽ�Ġ�ĐĂƉĂnj�ĚĞ�ŝŵƉŽƌ�Ă�Ƶŵ�ƐƵďŵĂƌŝŶŽ�ĚĞ�ŵĂƐƐĂ�
M� ĂŽ� ůŽŶŐŽ� ĚŽ� ĞŝdžŽ� ǀĞƌƟĐĂů�Y͘� K� ƷŶŝĐŽ� ƌĞƋƵŝƐŝƚŽ�
ĚĞƐĞũĂĚŽ� ƉĂƌĂ� Ž� ĐŽŶƚƌŽůĂĚŽƌ� Ġ� ƋƵĞ� ƐĞũĂ� ĐĂƉĂnj� ĚĞ�
ŵĂŶƚĞƌ�Ž�ĞƌƌŽ�Ğŵ�ƌĞŐŝŵĞ�ƉĞƌŵĂŶĞŶƚĞ�ŶƵůŽ͕�ŵĞƐŵŽ�
ĂƉſƐ�ƉĞƌƚƵƌďĂĕƁĞƐ͘�
�ĚŵŝƚĂ�ƋƵĞ�Ă�ĨƵŶĕĆŽ�ĚĞ�ƚƌĂŶƐĨĞƌġŶĐŝĂ�ĂĚŽƚĂĚĂ�ƉĂƌĂ�Ž�
ƐŝƐƚĞŵĂ�ĚĞ�ĐŽŶƚƌŽůĞ�ĚŽ�ƐƵďŵĂƌŝŶŽ�Ġ�
G(s) = Y(s) = 1
F(s) Ms2 + Cs
Ğŵ� ƋƵĞ�C Ġ� Ă� ǀŝƐĐŽƐŝĚĂĚĞ� ĚĂ� ĄŐƵĂ͘� �ŽŶƐŝĚĞƌĂŶĚŽ�
ĂŝŶĚĂ� Ă� ĚŝƐƉŽŶŝďŝůŝĚĂĚĞ� ĚĞ� ƐĞŶƐŽƌĞƐ� ƉĂƌĂ� ŵĞĚŝƌ� Ă�
ƉƌŽĨƵŶĚŝĚĂĚĞ� ŶŽ� ĨƵŶĚŽ� ĚŽ� ŵĂƌ͕ � ŽƐ� ĞŶŐĞŶŚĞŝƌŽƐ�
ƟǀĞƌĂŵ�ƐƵĐĞƐƐŽ�ƵƐĂŶĚŽ�Ƶŵ�ĐŽŶƚƌŽůĂĚŽƌ�ĚŽ�ƟƉŽ
A ŝŶƚĞŐƌĂů͘
B ĚĞƌŝǀĂƟǀŽ͘
C ƉƌŽƉŽƌĐŝŽŶĂů͘
D ƉƌŽƉŽƌĐŝŽŶĂů�ŝŶƚĞŐƌĂů͘
E ƉƌŽƉŽƌĐŝŽŶĂů�ĚĞƌŝǀĂƟǀŽ͘
ÁREA LIVRE
QUESTÃO 33 - Telecomunicações
�ŵ� ϭϵϵϬ͕� Ă� /ŶƚĞƌŶĂƟŽŶĂů Engineering Task Force
;/�d&Ϳ͕� ſƌŐĆŽ� ƌĞƐƉŽŶƐĄǀĞů� ƉĞůĂƐ� ĞƐƉĞĐŝĮĐĂĕƁĞƐ�
ĚĂ� /ŶƚĞƌŶĞƚ͕� ƌĞŐƵůĂŵĞŶƚŽƵ͕� ĂƚƌĂǀĠƐ� ĚĂ� Z&�ϭϭϰϵ͕�
ƉƌŽĐĞĚŝŵĞŶƚŽƐ�ƉĂƌĂ�Ă�ƚƌĂŶƐŵŝƐƐĆŽ�ĚĞ�ĚĂƚĂŐƌĂŵĂƐ�ĚŽ�
Internet Protocol ;/WͿ�ƵƐĂŶĚŽ�ƉŽŵďŽͲĐŽƌƌĞŝŽ͘
�ŽŶƐŝĚĞƌĞ�ƋƵĞ͗
ͻ� Ƶŵ�ƉŽŵďŽͲĐŽƌƌĞŝŽ�ƉŽĚĞ�ĐĂƌƌĞŐĂƌ�Ƶŵ�ĐĂƌƚĆŽ�^��
ĚĞ�ϲϰ�'ŝŐĂďLJƚĞƐ�Ă�ƵŵĂ�ǀĞůŽĐŝĚĂĚĞ�ĚĞ�ϭϬϬ�ŬŵͬŚ͖
ͻ� Ă�ƚĂdžĂ�ĚĞ�ŐƌĂǀĂĕĆŽ�ĚĞ�Ƶŵ�ĐĂƌƚĆŽ�^��Ġ�ϮϱϬ�DďƉƐ͖
ͻ� ĞdžŝƐƚĞ�ƵŵĂ�ĂůƚĞƌŶĂƟǀĂ�ĚĞ�ĞŶǀŝŽ�ĚŽƐ�ϲϰ�'ŝŐĂďLJƚĞƐ�
ǀŝĂ�Ƶŵ�ƐŝƐƚĞŵĂ�ĚĞ�ƚƌĂŶƐŵŝƐƐĆŽ�ĐŽŵ�ĮďƌĂ�ſƟĐĂ�Ă�
ϭϬϬ�DďƉƐ͖
ͻ� ĂƚƌĂƐŽƐ�ĚĞ�ƉƌŽƉĂŐĂĕĆŽ�Ğ�ĚĞ�ƉƌŽĐĞƐƐĂŵĞŶƚŽ�ĚŽƐ�
ĚĂƚĂŐƌĂŵĂƐ� /W� ƐĆŽ� ĚĞƐƉƌĞnjşǀĞŝƐ� Ğŵ� ƌĞůĂĕĆŽ� ĂŽ�
ƚĞŵƉŽ�ĚĞ�ŐƌĂǀĂĕĆŽ�ĚĞ�Ƶŵ�ĐĂƌƚĆŽ�^�͘
�Žŵ� ďĂƐĞ� ŶĞƐƐĂƐ� ŝŶĨŽƌŵĂĕƁĞƐ͕� ĂƚĠ� ƋƵĞ� ĚŝƐƚąŶĐŝĂ�
Ġ� ŵĂŝƐ� ƌĄƉŝĚŽ� ƵƟůŝnjĂƌ� Ƶŵ� ƉŽŵďŽͲĐŽƌƌĞŝŽ� ƉĂƌĂ�
ƚƌĂŶƐŵŝƐƐĆŽ�ĚĞ�ĚĂƚĂŐƌĂŵĂƐ�/W�ĚŽ�ƋƵĞ�Ƶŵ�ƐŝƐƚĞŵĂ�ĚĞ�
ƚƌĂŶƐŵŝƐƐĆŽ�ĐŽŵ�ĮďƌĂ�ſƟĐĂ�Ă�ϭϬϬ�DďƉƐ͍
A ϯ͕ϱ�Ŭŵ͘
B ϭϳ͕ϴ�Ŭŵ͘
C Ϯϴ͕Ϭ�Ŭŵ͘
D ϴϱ͕ϯ�Ŭŵ͘
E ϭϰϮ͕Ϭ�Ŭŵ͘
ÁREA LIVRE
*R17201433*
ϯϰ
�E'�E,�Z/���>�dZ/��
QUESTÃO 34 - Sistemas de Energia Elétrica
�� ZĞƐŽůƵĕĆŽ� EŽƌŵĂƟǀĂ� �E��>� Ŷ͘Ž� ϰϭϰͬϮϬϭϬ͕� ĂƚƵĂůŝnjĂĚĂ� Ğŵ� ϮϬϭϯ͕� ĚŝƐƉƁĞ� ƐŽďƌĞ� ĂƐ� ĐŽŶĚŝĕƁĞƐ� ŐĞƌĂŝƐ� ĚĞ�
ĨŽƌŶĞĐŝŵĞŶƚŽ�ĚĞ�ĞŶĞƌŐŝĂ�ĞůĠƚƌŝĐĂ͕�ŽŶĚĞ�ƐĞ�ĚĞĮŶĞ͕�ĞŶƚƌĞ�ŽƵƚƌŽƐ�ƉŽŶƚŽƐ͕�Ă�ĞƐƚƌƵƚƵƌĂ�ƚĂƌŝĨĄƌŝĂ�ŚŽƌĄƌŝĂ�ďƌĂŶĐĂ�
ƉĂƌĂ�ŽƐ�ĐŽŶƐƵŵŝĚŽƌĞƐ�ĚŽ�'ƌƵƉŽ��͘��ƐƐƵŵĂ�ƋƵĞ�Ž�ƋƵĂĚƌŽ�Ă�ƐĞŐƵŝƌ�ŵŽƐƚƌĂ�ƚĂƌŝĨĂƐ�ĚĞ�ĞŶĞƌŐŝĂ�ĞůĠƚƌŝĐĂ�ƌĞĨĞƌĞŶƚĞƐ�
ă�ĐůĂƐƐĞ�ƌĞƐŝĚĞŶĐŝĂů͕�ƐƵďĐůĂƐƐĞ��ϭ͕�Ă�ƐĞƌĞŵ�ƉƌĂƟĐĂĚĂƐ�Ă�ƉĂƌƟƌ�ĚĞ�ϮϬϭϱ�ƉŽƌ�ĞŵƉƌĞƐĂƐ�ĚŝƐƚƌŝďƵŝĚŽƌĂƐ�ĂƵƚŽƌŝnjĂĚĂƐ�
ƉĞůĂ��E��>͘�
Posto 
Horário
dĂƌŝĨĂƐ�ĚĞ�ĐŽŶƐƵŵŽ�ĚĞ�ĞŶĞƌŐŝĂ�ĞůĠƚƌŝĐĂ�;ZΨͬDtŚͿ
BVD BAM BVM
P ϮϱϬ͕ϬϬ Ϯϳϱ͕ϬϬ ϯϮϱ͕ϬϬ
INT ϭϱϬ͕ϬϬ ϭϳϱ͕ϬϬ ϮϬϬ͕ϬϬ
FP ϭϱϬ͕ϬϬ ϭϳϱ͕ϬϬ ϮϬϬ͕ϬϬ
P͗�ƉŽƐƚŽ�ƚĂƌŝĨĄƌŝŽ�ƉŽŶƚĂ�;ĚĂƐ�ϭϴŚϬϬŵŝŶ�ăƐ�ϮϬŚϱϵŵŝŶͿ͖�INT͗�ƉŽƐƚŽ�ƚĂƌŝĨĄƌŝŽ�ŝŶƚĞƌŵĞĚŝĄƌŝŽ�;ϭ�ŚŽƌĂ�ŝŵĞĚŝĂƚĂŵĞŶƚĞ�ĂŶƚĞƌŝŽƌ�Ğ�ϭ�ŚŽƌĂ�
ŝŵĞĚŝĂƚĂŵĞŶƚĞ�ƉŽƐƚĞƌŝŽƌ�ĂŽ�ƉŽƐƚŽ�ƚĂƌŝĨĄƌŝŽ�ƉŽŶƚĂͿ͖�FP͗�ƉŽƐƚŽ�ƚĂƌŝĨĄƌŝŽ�ĨŽƌĂ�ĚĞ�ƉŽŶƚĂ�;ƉĞƌşŽĚŽ�ĐŽŵƉůĞŵĞŶƚĂƌ�ĂŽƐ�ƉŽƐƚŽƐ�ƚĂƌŝĨĄƌŝŽƐ�
ƉŽŶƚĂ�Ğ�ŝŶƚĞƌŵĞĚŝĄƌŝŽͿ͖�BVD͗�ďĂŶĚĞŝƌĂ�ƚĂƌŝĨĄƌŝĂ�ǀĞƌĚĞ͖�BAM͗�ďĂŶĚĞŝƌĂ�ƚĂƌŝĨĄƌŝĂ�ĂŵĂƌĞůĂ͖�BVM͗�ďĂŶĚĞŝƌĂ�ƚĂƌŝĨĄƌŝĂ�ǀĞƌŵĞůŚĂ͘
�ŽŶƐŝĚĞƌĂŶĚŽ�Ž�ƐŝƐƚĞŵĂ�ĚĞ�ďĂŶĚĞŝƌĂƐ�ƚĂƌŝĨĄƌŝĂƐ͕�Ă�ĞƐƚƌƵƚƵƌĂ�ƚĂƌŝĨĄƌŝĂ�ŚŽƌĄƌŝĂ�ďƌĂŶĐĂ�ĂƉƌĞƐĞŶƚĂĚĂ�ŶŽ�ƋƵĂĚƌŽ�Ğ�
Ƶŵ�ŵġƐ�ĚĞ�ϯϬ�ĚŝĂƐ͕�ĂǀĂůŝĞ�ĂƐ�ĂĮƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� K�ƐŝƐƚĞŵĂ�ĚĞ�ďĂŶĚĞŝƌĂƐ�ƚĂƌŝĨĄƌŝĂƐ�ĨŽŝ�ĐƌŝĂĚŽ�ĐŽŵ�Ž�ŽďũĞƟǀŽ�ĚĞ�ƌĞŇĞƟƌ�ŽƐ�ĐƵƐƚŽƐ�ĚĞ�ĐŽŵƉƌĂ�ĚĞ�ĞŶĞƌŐŝĂ�ƐĞŵ�
Ƶŵ�ŐƌĂŶĚĞ�ůĂƉƐŽ�ĚĞ�ƚĞŵƉŽ�ĞŶƚƌĞ�ŽƐ�ĂĐŝŽŶĂŵĞŶƚŽƐ�ĚĂƐ�ƵƐŝŶĂƐ�ĚĞ�ĚŝĨĞƌĞŶƚĞƐ�ƟƉŽƐ�Ğ�Ă�ĐŽƌƌĞƐƉŽŶĚĞŶƚĞ�
ƌĞƉĞƌĐƵƐƐĆŽ�ƚĂƌŝĨĄƌŝĂ͕�ĞůŝŵŝŶĂŶĚŽ�Ž�ƐŝŶĂů�ƐĂnjŽŶĂů�ĚĞ�ƉĞƌşŽĚŽ�ƐĞĐŽ�Ğ�ƷŵŝĚŽ�ƉĂƌĂ�ĂƐ�ƚĂƌŝĨĂƐ�ĚĞ�ĞŶĞƌŐŝĂ�
ĚŽƐ�ĐůŝĞŶƚĞƐ�ĂƚĞŶĚŝĚŽƐ�Ğŵ�ĂůƚĂ�ƚĞŶƐĆŽ͘
//͘� EĂ�ǀŝŐġŶĐŝĂ�ĚĂ�ďĂŶĚĞŝƌĂ�ƚĂƌŝĨĄƌŝĂ�ƋƵĞ�ƌĞŇĞƚĞ�Ž�ŵĞŶŽƌ�ĐƵƐƚŽ�ĚĞ�ŐĞƌĂĕĆŽ�ĚĞ�ĞŶĞƌŐŝĂ͕�ĐĂƐŽ�Ž�ĐŽŶƐƵŵŝĚŽƌ�
ŽƉƚĞ�ƉŽƌ�ĚĞƐůŽĐĂƌ�ďĂŶŚŽƐ�ĚŝĄƌŝŽƐ�ĚĞ�ĚƵƌĂĕĆŽ�ĚĞ�ϭ�Ś�ĚŽ�ŚŽƌĄƌŝŽ�ĚĞ�ƉŽŶƚĂ�ƉĂƌĂ�Ž�ŚŽƌĄƌŝŽ�ĨŽƌĂ�ĚĞ�ƉŽŶƚĂ͕�
Ğŵ�Ƶŵ�ĐŚƵǀĞŝƌŽ�ĞůĠƚƌŝĐŽ�ĚĞ�ϱ�Ŭt͕�Ă�ĞĐŽŶŽŵŝĂ�ŵĞŶƐĂů�Ġ�ĚĞ�ZΨ�ϭϱ͕ϬϬ͘
///͘� �ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž�ĐŽŶƐƵŵŽ�ĚĞ�Ƶŵ�ĐŚƵǀĞŝƌŽ�Ă�ŐĄƐ�ŶĂƚƵƌĂů�;'EͿ�Ġ�ĚĞ�Ϭ͕ϭ�ŵϯͬŚ�Ğ�ƋƵĞ�Ž�ĐƵƐƚŽ�ĚŽ�'E�Ġ�
ĚĞ�ZΨ�ϰ͕ϬϬͬŵϯ͕�Ġ�ĞĐŽŶŽŵŝĐĂŵĞŶƚĞ�ǀĂŶƚĂũŽƐŽ�ƵƟůŝnjĂƌ�Ƶŵ�ĐŚƵǀĞŝƌŽ�ĞůĠƚƌŝĐŽ�ĚĞ�ϱ�Ŭt�Ğŵ�ĚĞƚƌŝŵĞŶƚŽ�ĚĞ�
Ƶŵ�ĐŚƵǀĞŝƌŽ�Ă�'E͕�ŶĂ�ǀŝŐġŶĐŝĂ�ĚĂ�ďĂŶĚĞŝƌĂ�ǀĞƌĚĞ͕�ŶŽ�ŚŽƌĄƌŝŽ�ĨŽƌĂ�ĚĞ�ƉŽŶƚĂ�;&WͿ͘
��ĐŽƌƌĞƚŽ�Ž�ƋƵĞ�ƐĞ�ĂĮƌŵĂ�Ğŵ
A //͕�ĂƉĞŶĂƐ͘
B ///͕�ĂƉĞŶĂƐ͘
C /�Ğ�//͕�ĂƉĞŶĂƐ͘
D /�Ğ�///͕�ĂƉĞŶĂƐ͘
E /͕�//�Ğ�///͘
*R17201434*
ϯϱ
�E'�E,�Z/���>�dZ/��
QUESTÃO 34 - Eletrônica
�hŵĂ� ĞŵƉƌĞƐĂ� ĨŽƌŶĞĐĞĚŽƌĂ� ĚĞ� ĚŝƐƉŽƐŝƟ�ǀŽƐ� ĞůĞƚƌƀŶŝĐŽƐ� ƉĂƌĂ� Ă� ŝŶĚƷƐƚƌŝĂ� ĂƵƚŽŵŽďŝůşƐƟ�ĐĂ� ƌĞĐĞďĞƵ� ƵŵĂ�
ĞŶĐŽŵĞŶĚĂ�ƉĂƌĂ�ĚĞƐĞŶǀŽůǀĞƌ�Ƶŵ�ĐŽŶƚƌŽůĂĚŽƌ�ĚĞ�ůƵŵŝŶŽƐŝĚĂĚĞ�ŝŶƚĞůŝŐĞŶƚĞ͘�K�ĚŝƐƉŽƐŝƟ�ǀŽ�ĚĞǀĞƌĄ�ĂĐŝŽŶĂƌ�ĨĂƌſŝƐ�
ĂƵƚŽŵĂƟ�ĐĂŵĞŶƚĞ͕�Ă�ƉĂƌƟ�ƌ�ĚĞ�ƵŵĂ�ĚĞƚĞƌŵŝŶĂĚĂ�ƋƵĂŶƟ�ĚĂĚĞ�ĚĞ�ůƵŵŝŶŽƐŝĚĂĚĞ�ĂŵďŝĞŶƚĞ͘�WĂƌĂ�ĞƐƚĞ�ƉƌŽũĞƚŽ͕�
ĨŽŝ�ĚĞƐĞŶǀŽůǀŝĚŽ�Ƶŵ�ƉƌŽƚſƟ�ƉŽ�ƵƟ�ůŝnjĂŶĚŽ�ĐŽŵŽ�ĞůĞŵĞŶƚŽ�ĚĞ�ĐŽŶƚƌŽůĞ�Ğ�ĐŚĂǀĞĂŵĞŶƚŽ�Ƶŵ�ƚƌĂŶƐŝƐƚŽƌ�DK^&�d�
ĂĐŝŽŶĂĚŽ�ĂƚƌĂǀĠƐ�ĚĞ�Ƶŵ�>�Z�;>ŝŐŚƚ��ĞƉĞŶĚĞŶƚ�ZĞƐŝƐƚŽƌͿ͕�ĐŽŶĨŽƌŵĞ�ĂƉƌĞƐĞŶƚĂĚŽ�ŶĂ�Į�ŐƵƌĂ�ϭ͘
12 V
RX
LDR
&ŝŐƵƌĂ�ϭ
WĂƌĂ�ĐŽŶĐůƵŝƌ�Ž�ƉƌŽũĞƚŽ͕�ĚĞǀĞͲƐĞ�ĐĂůĐƵůĂƌ�Ă�ĨĂŝdžĂ�ĚĞ�ǀĂůŽƌĞƐ�ĚĞ�Zy͕�ƵƟ�ůŝnjĂŶĚŽ�ĂƐ�ĐƵƌǀĂƐ�ĐĂƌĂĐƚĞƌşƐƟ�ĐĂƐ�ĚŽ�>�Z�
;Į�ŐƵƌĂ�ϮͿ�Ğ�ĚŽ�DK^&�d�;Į�ŐƵƌĂ�ϯͿ͘
Resistência
(Ÿ)
10000
8000
6000
4000
2000
1000
500
20 50 100 200 400 600 1000
Iluminância
(lux)
0
4
8
12
16
2 4 6 8 VGS(V)
VDS=25V
ID(A)
&ŝŐƵƌĂ�Ϯ�Ͳ��ƵƌǀĂ�ĐĂƌĂĐƚĞƌşƐƟ�ĐĂ�ĚŽ�>�Z͘ &ŝŐƵƌĂ�ϯ�Ͳ��ƵƌǀĂ�ĐĂƌĂĐƚĞƌşƐƟ�ĐĂ�ĚŽ�DK^&�d�Ͳ�ĐŽƌƌĞŶƚĞ�ĚĞ�ĚƌĞŶŽ�;/�Ϳ�dž�ƚĞŶƐĆŽ�ƉŽƌƚĂͲĨŽŶƚĞ�;s'^Ϳ͘
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž�DK^&�d�ŝŶŝĐŝĂ�Ă�ĐŽŶĚƵĕĆŽ�ĐŽŵ�ϯ͕Ϭ�s�ĂƉůŝĐĂĚŽ�ĞŶƚƌĞ�ŽƐ�ƚĞƌŵŝŶĂŝƐ�ĚĂ�ƉŽƌƚĂ�;gateͿ�Ğ�ĚĂ�
ĨŽŶƚĞ�;ƐourceͿ�Ğ�ƋƵĞ�Ž�ŵĞƐŵŽ�ƐĞƌĄ�ĂĐŝŽŶĂĚŽ�ƋƵĂŶĚŽ�Ă�ŝůƵŵŝŶąŶĐŝĂ�ĚŽ�ĂŵďŝĞŶƚĞ�ĨŽƌ�ƌĞĚƵnjŝĚĂ�ƉĂƌĂ�Ž�ŝŶƚĞƌǀĂůŽ�
ĞŶƚƌĞ�ϱϬ�Ğ�ϭϬϬ�ůƵdž͘
�Ğ�ĂĐŽƌĚŽ�ĐŽŵ�ĂƐ�ĞƐƉĞĐŝĮ�ĐĂĕƁĞƐ�ĨŽƌŶĞĐŝĚĂƐ�ŶŽ�ƉƌŽďůĞŵĂ͕�Ġ�ĐŽƌƌĞƚŽ�ĂĮ�ƌŵĂƌ�ƋƵĞ�Ă�ĨĂŝdžĂ�ƉĂƌĂ�Zy�ĂĚĞƋƵĂĚĂ�
ƉĂƌĂ�Ž�ƉƌŽũĞƚŽ�Ġ�ĚĞ
A 12 000 Ÿ�ĂƚĠ�ϭϴ�ϬϬϬ�Ÿ
B 12 000 Ÿ�ĂƚĠ�Ϯϰ�ϬϬϬ�Ÿ
C ϭϴ�ϬϬϬ�Ÿ�ĂƚĠ�Ϯϰ�ϬϬϬ�Ÿ
D ϭϴ�ϬϬϬ�Ÿ�ĂƚĠ�ϯϬ�ϬϬϬ�Ÿ
E 24 000 Ÿ�ĂƚĠ�ϯϬ�ϬϬϬ�Ÿ
*R17201435*
ϯϲ
�E'�E,�Z/���>�dZ/��
QUESTÃO 34 - Controle e Automação
��ŵ�ƵŵĂ�ĨĄďƌŝĐĂ�ĚĞ�ĐŝŵĞŶƚŽ͕�Ž�ĐŽŶƚƌŽůĞ�ĚĞ�ƚĞŵƉĞƌĂƚƵƌĂ�
ĚĞ�Ƶŵ�ĨŽƌŶŽ�Ġ� ƌĞĂůŝnjĂĚŽ�ƉŽƌ�ƵŵĂ�ŵĂůŚĂ͕�ĐŽŶĨŽƌŵĞ�
Ž�ĚŝĂŐƌĂŵĂ�ĚĞ�ďůŽĐŽƐ�ĚŽ�ƐŝƐƚĞŵĂ�ŝůƵƐƚƌĂĚŽ�ŶĂ�Į�ŐƵƌĂ�
ĂďĂŝdžŽ͘�
�ŽŶƐŝĚĞƌĞ� ƋƵĞ� Ž� ƐŝƐƚĞŵĂ� ƉŽƐƐƵŝ� ƵŵĂ� ĞŶƚƌĂĚĂ�
x(t)͕� ƵŵĂ� ƐĂşĚĂ� y(t)͕� Ƶŵ� ƐŝŶĂů� ĚĞ� ĞƌƌŽ� e(t) Ğ� ĂƐ�
ĐŽƌƌĞƐƉŽŶĚĞŶƚĞƐ� ƚƌĂŶƐĨŽƌŵĂĚĂƐ� ĚĞ� >ĂƉůĂĐĞ� ĚĞƐƐĞƐ�
ƐŝŶĂŝƐ͕�Ă�ƐĂďĞƌ͕ �X(s)͕�Y(s)͕�E(s)͕�ĂůĠŵ�ĚĂƐ�ĐŽŶƐƚĂŶƚĞƐ�
K e T͕�ŵĂŝŽƌĞƐ�ĚŽ�ƋƵĞ�njĞƌŽ͘
K
Controlador
Proporcional
1
Ts + 1
Forno
++
-
X(s)
x(t)
E(s)
e(t)
Y(s)
y(t)WĂƌĂ� Ă� ƐŝŶƚŽŶŝĂ� ĚŽ� ŐĂŶŚŽ� ĚĂ� ŵĂůŚĂ� ĚĞ� ĐŽŶƚƌŽůĞ͕�
ƌĞĂůŝnjŽƵͲƐĞ� Ƶŵ� ƚĞƐƚĞ� ĂƉůŝĐĂŶĚŽͲƐĞ� ŶĂ� ĞŶƚƌĂĚĂ� ĚŽ�
ƐŝƐƚĞŵĂ�Ƶŵ�ƐŝŶĂů�ĚŽ�Ɵ�ƉŽ�ĚĞŐƌĂƵ�ƵŶŝƚĄƌŝŽ͕�X(s) = 1/s.
EĞƐƐĞ�ĐĂƐŽ͕�ĞƐƉĞƌĂͲƐĞ�ƋƵĞ�Ž�ƐŝŶĂů�ĚĞ�ĞƌƌŽ�e(t)�ƚĞŶĚĂ�
ĂŽ�ǀĂůŽƌ
A 0.
B
1
.
K
C
1
.
K + 1
D
K
.
K + 1
E ∞.
ÁREA LIVRE 
QUESTÃO 34 - Telecomunicações
��ŵ� Ƶŵ� ƐŝƐƚĞŵĂ� ĚĞ� ĐŽŵƵŶŝĐĂĕƁĞƐ͕� ƉŽŶƚŽ� Ă� ƉŽŶƚŽ͕�
ĚĞƐĞũĂͲƐĞ� ƚƌĂŶƐŵŝƟ�ƌ� ƚƌġƐ� ƐŝŶĂŝƐ� ĚĞ� ŵĞŶƐĂŐĞŶƐ͕�
m1(t)͕ m2(t) e m3(t)͕� ĐƵũŽƐ� ŐƌĄĮ�ĐŽƐ�ĚĞ�ĚĞŶƐŝĚĂĚĞ�
ĞƐƉĞĐƚƌĂů� ĚĞ� ƉŽƚġŶĐŝĂ� ƐĆŽ� s1(Z)͕� s2(Z) e s3(Z)͕�
ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͕�ĂƉƌĞƐĞŶƚĂĚŽƐ�ĂďĂŝdžŽ͘��ƐƐĞƐ�ƐŝŶĂŝƐ�
ƐĞƌĆŽ� ŵƵůƟ�ƉůĞdžĂĚŽƐ� Ğŵ� ĨƌĞƋƵġŶĐŝĂ� ƉŽƌ� ŵĞŝŽ� ĚĞ�
ƉŽƌƚĂĚŽƌĂƐ�ŵŽĚƵůĂĚĂƐ�Ğŵ�ĂŵƉůŝƚƵĚĞ�;�DͿ͘�K�ƐŝŶĂů�
m1(t)� ŵŽĚƵůĂ� Ğŵ� �DͲ�^�� ;ďĂŶĚĂ� ůĂƚĞƌĂů� ĚƵƉůĂ� Ͳ�
�ŽƵďůĞ� ^ŝĚĞďĂŶĚͿ� ƵŵĂ� ƉŽƌƚĂĚŽƌĂ� ĐŽŵ� ĨƌĞƋƵġŶĐŝĂ�
Z1�с�ϰ�ϬϬϬ�ƌĂĚͬƐ͘�KƐ�ŽƵƚƌŽƐ�ĚŽŝƐ�ƐŝŶĂŝƐ�ĚĞ�ŵĞŶƐĂŐĞŵ͕�
m2(t) e m3(t)͕�ŵŽĚƵůĂŵ�Ğŵ��DͲ^^��;ďĂŶĚĂ�ůĂƚĞƌĂů�
ƷŶŝĐĂ� Ͳ�^ŝŶŐůĞ� ^ŝĚĞďĂŶĚͿ� ƉŽƌƚĂĚŽƌĂƐ�ĚĞ� ĨƌĞƋƵġŶĐŝĂƐ�
Z2 e Z3 ͕ �ŶĞƐƐĂ�ƐĞƋƵġŶĐŝĂ͕�ƐĞŶĚŽ�Z1 d Z2 d Z3 .
S
-1000 1000
�Ȧ�
Ȧ -1000 1000 Ȧ -2000 2000 Ȧ
1 S �Ȧ�2 S �Ȧ�3
�ŽŶƐŝĚĞƌĂŶĚŽ� ƋƵĞ͕� ŶŽ� ƌĞĐĞƉƚŽƌ� ĚŽ� ƐŝƐƚĞŵĂ� ĚĞ�
ĐŽŵƵŶŝĐĂĕĆŽ͕� ƐĞƌĆŽ� ƵƟ�ůŝnjĂĚŽƐ� ĚĞŵŽĚƵůĂĚŽƌĞƐ� Ğ�
Į�ůƚƌŽƐ� ŝĚĞĂŝƐ͕�ƋƵĂŝƐ�ƐĆŽ�ŽƐ�ŵĞŶŽƌĞƐ�ǀĂůŽƌĞƐ�ĚĞ�Z2 e 
Z3 ͕ �Ğŵ�ƌĂĚͬƐ͕�ƉĂƌĂ�ƋƵĞ�ƐĞũĂ�ƉŽƐƐşǀĞů�Ă�ƌĞĐƵƉĞƌĂĕĆŽ�
ĚŽƐ�ƚƌġƐ�ƐŝŶĂŝƐ�ĚĞ�ŵĞŶƐĂŐĞŵ�ŵƵůƟ�ƉůĞdžĂĚŽƐ͍
A ϰ�ϬϬϬ�Ğ�ϱ�ϬϬϬ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
B ϰ�ϬϬϬ�Ğ�ϲ�ϬϬϬ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
C ϱ�ϬϬϬ�Ğ�ϲ�ϬϬϬ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
D ϱ�ϬϬϬ�Ğ�ϳ�ϬϬϬ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
E ϲ�ϬϬϬ�Ğ�ϳ�ϬϬϬ͕�ƌĞƐƉĞĐƟ�ǀĂŵĞŶƚĞ͘
ÁREA LIVRE 
*R17201436*
ϯϳ
�E'�E,�Z/���>�dZ/��
QUESTÃO 35 - Sistemas de Energia Elétrica
�K�ŐƌĄĮ�ĐŽ�ĂďĂŝdžŽ�ĂƉƌĞƐĞŶƚĂ�ĂƐ�ĐƵƌǀĂƐ�ĚĞ�ĚĞƐĞŵƉĞŶŚŽ�ĚĞ�Ƶŵ�ŵŽƚŽƌ�ĚĞ�ŝŶĚƵĕĆŽ�ƚƌŝĨĄƐŝĐŽ�ĚĞ�ϱϬ�Đǀ�Ğŵ�ĨƵŶĕĆŽ�
ĚĂ�ƉŽƚġŶĐŝĂ�ĨŽƌŶĞĐŝĚĂ�ƉĞůŽ�ŵŽƚŽƌ�ă�ĐĂƌŐĂ͘���ĐƵƌǀĂ�A�ƌĞƉƌĞƐĞŶƚĂ�Ž�ƌĞŶĚŝŵĞŶƚŽ͕�Ă�ĐƵƌǀĂ�B͕�Ž�ĨĂƚŽƌ�ĚĞ�ƉŽƚġŶĐŝĂ͕�
Ă�ĐƵƌǀĂ�C͕�Ž�ĞƐĐŽƌƌĞŐĂŵĞŶƚŽ�Ğ�Ă�ĐƵƌǀĂ��͕�Ă�ĐŽƌƌĞŶƚĞ�ĞůĠƚƌŝĐĂ͘
100 1,0
90 0,9
80 0,8
70 0,7
60 0,6
50 0,5
40 0,4
5,0
4,0
3,0
2,0
1,0
0,0
A 
- R
en
di
m
en
to
 (%
)
B
 - 
Fa
to
r p
ot
ên
ci
a
D
 - C
orrente em
 220V
 (A
)
D
 - E
scorregam
ento
160
120
80
40
0
Potência fornecida em relação à nominal (%)
0 10 20 30 40 50 60 70 80 90 100 110 120 130
C
A
B
D
�ŝƐƉŽŶşǀĞů�Ğŵ͗�фŚƩ�Ɖ͗ͬͬĞĐĂƚĂůŽŐ͘ǁĞŐ͘ŶĞƚх͘��ĐĞƐƐŽ�Ğŵ͗�Ϯϳ�ĂŐŽ͘�ϮϬϭϰ�;ĂĚĂƉƚĂĚŽͿ͘
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž�ŵŽƚŽƌ�ŽƉĞƌĂ�Ă�ϮϮϬ�s�Ğ�ϲϬ�,nj͕�ĂǀĂůŝĞ�ĂƐ�ĂĮ�ƌŵĂĕƁĞƐ�Ă�ƐĞŐƵŝƌ͘
/͘� ��ĚŝŵŝŶƵŝĕĆŽ�ĚĂ�ƉŽƚġŶĐŝĂ�ĨŽƌŶĞĐŝĚĂ�ƉĞůŽ�ŵŽƚŽƌ�ă�ĐĂƌŐĂ�ŝŵƉůŝĐĂ�ĚŝŵŝŶƵŝĕĆŽ�ĚĞ�ƐƵĂ�ĐŽƌƌĞŶƚĞ�ĞůĠƚƌŝĐĂ͕�
ĚŝŵŝŶƵŝŶĚŽ�ƐĞƵ�ĂƋƵĞĐŝŵĞŶƚŽ�Ğ�ƌĞĚƵnjŝŶĚŽ�ƐĞƵ�ƌĞŶĚŝŵĞŶƚŽ͘
//͘� YƵĂŶĚŽ�Ž�ŵŽƚŽƌ�ŽƉĞƌĂ�ĐŽŵ�ϭϬϬй�ĚĞ�ĐĂƌƌĞŐĂŵĞŶƚŽ͕�Ă�ĐŽƌƌĞŶƚĞ�ĞůĠƚƌŝĐĂ�ĂƐƐƵŵĞ�ǀĂůŽƌĞƐ�ŵƵŝƚŽ�ĂůƚŽƐ͕�
ĂĐŝŵĂ�ĚĂ�ĐŽƌƌĞŶƚĞ�ŶŽŵŝŶĂů͘
///͘� K� ŵŽƚŽƌ� ĚĞǀĞ� ƐĞƌ� ĞƐƉĞĐŝĮ�ĐĂĚŽ� ƉĂƌĂ� ƚĞƌ� ƉŽƚġŶĐŝĂ� ŶŽŵŝŶĂů� Ž� ŵĂŝƐ� ƉƌſdžŝŵŽ� ƉŽƐƐşǀĞů� ĚĂ� ƉŽƚġŶĐŝĂ�
ĚĞŵĂŶĚĂĚĂ�ƉĞůĂ�ĐĂƌŐĂ͕�ĚĞ�ŵĂŶĞŝƌĂ�Ă�ŽƉĞƌĂƌ�ŶĂƐ�ĨĂŝdžĂƐ�ŵĂŝƐ�ĂůƚĂƐ�ĚĞ�ƌĞŶĚŝŵĞŶƚŽ�Ğ�ĨĂƚŽƌ�ĚĞ�ƉŽƚġŶĐŝĂ͕�
ĂƉƌĞƐĞŶƚĂŶĚŽ�ŵĂŝŽƌ�ĞĮ�ĐŝġŶĐŝĂ�ĞŶĞƌŐĠƟ�ĐĂ͘
/s͘ � �ƐƐĞ�ŵŽƚŽƌ�ŶĆŽ�ƉŽĚĞ�ŽƉĞƌĂƌ�Ă�ǀĂnjŝŽ͕�ƐĞŵ�ĨŽƌŶĞĐĞƌ�ƉŽƚġŶĐŝĂ�ă�ĐĂƌŐĂ͕�ǀŝƐƚŽ�ƋƵĞ�Ž�ĞƐĐŽƌƌĞŐĂŵĞŶƚŽ�ƐĞƌŝĂ�
ŶƵůŽ͕�Ž�ƋƵĞ�ŝŵƉůŝĐĂƌŝĂ�ǀĞůŽĐŝĚĂĚĞ�ĂŶŐƵůĂƌ�;ƌŽƚĂĕĆŽͿ�ĚŽ�ŵŽƚŽƌ�ƚĞŶĚĞŶĚŽ�Ă�ŝŶĮ�ŶŝƚŽ͘
V. K�ŵŽƚŽƌ�ĂƉƌĞƐĞŶƚĂ�ĐŽƌƌĞŶƚĞ�ĚĞ�ƉĂƌƟ�ĚĂ�ĚĞ�ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ�ϰϱ��͕�ƋƵĞ�ĂƵŵĞŶƚĂ�ĂƚĠ�ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ�
ϭϮϬ���ƋƵĂŶĚŽ�Ž�ŵŽƚŽƌ�ĞŶƚƌĂ�Ğŵ�ƌĞŐŝŵĞ�ĚĞ�ŽƉĞƌĂĕĆŽ�ŶŽŵŝŶĂů͘
��ĐŽƌƌĞƚŽ�ĂƉĞŶĂƐ�Ž�ƋƵĞ�ƐĞ�ĂĮ�ƌŵĂ�Ğŵ
A /�Ğ�//͘
B /�Ğ�///͘
C //�Ğ�/s͘
D ///�Ğ�s͘
E /s�Ğ�s͘
*R17201437*
ϯϴ
�E'�E,�Z/���>�dZ/��
QUESTÃO 35 - Eletrônica
�EŽƐ� ƐŝƐƚĞŵĂƐ� ĐŽŵ�ŵŝĐƌŽƉƌŽĐĞƐƐĂĚŽƌ͕ � Ž�ƉƵůƐŽ�ĚĞ� ŝŶŝĐŝĂůŝnjĂĕĆŽ� reset� Ġ� ƵƐĂĚŽ�ƉĂƌĂ� ĐŽůŽĐĂƌ� Ă�h�W� ;hŶŝĚĂĚĞ�
�ĞŶƚƌĂů�ĚĞ�WƌŽĐĞƐƐĂŵĞŶƚŽͿ�Ğŵ�Ƶŵ�ĞƐƚĂĚŽ�ĐŽŶŚĞĐŝĚŽ͘��ƐƐĞ�ƉƵůƐŽ�ƉƌĞĐŝƐĂ�ƐĞƌ�ŐĞƌĂĚŽ�ĂƵƚŽŵĂƟ�ĐĂŵĞŶƚĞ�ŶŽ�ĂƚŽ�
ĚĂ�ĞŶĞƌŐŝnjĂĕĆŽ�ĚŽ�ƐŝƐƚĞŵĂ�Ğ�ĚĞǀĞ�ƐĞƌ�Ž�ŵĂŝƐ�ĐƵƌƚŽ�ƉŽƐƐşǀĞů͕�ĚĞƐĚĞ�ƋƵĞ�ŶĆŽ�Į�ƋƵĞ�ĂƋƵĠŵ�ĚĂ�ĞƐƉĞĐŝĮ�ĐĂĕĆŽ�ĚĂ�
h�W͘ �
��Į�ŐƵƌĂ�ĂďĂŝdžŽ�ĂƉƌĞƐĞŶƚĂ�Ƶŵ�ĞƐƋƵĞŵĂ�ơ�ƉŝĐŽ�ƉĂƌĂ�ĂƚĞŶĚĞƌ�Ă�ĞƐƐĂƐ�ŶĞĐĞƐƐŝĚĂĚĞƐ͘�K�reset�ĚĞǀĞ�ƐĞƌ�ĂƟ�ǀĂĚŽ�
Ğŵ�ŶşǀĞů�ĂůƚŽ�;ůſŐŝĐŽ�ϭͿ�ĚƵƌĂŶƚĞ�Ƶŵ�ŝŶƚĞƌǀĂůŽ�ŶĆŽ�ŝŶĨĞƌŝŽƌ�Ă�ϭϬϬ�ƉĞƌşŽĚŽƐ�ĚĞ�ƌĞůſŐŝŽ͕�ŐĞƌĂĚŽ�Ă�ƉĂƌƟ�ƌ�ĚĞ�Ƶŵ�
ŽƐĐŝůĂĚŽƌ�Ă�ĐƌŝƐƚĂů͘���ĞƐƉĞĐŝĮ�ĐĂĕĆŽ�ĚĂ�h�W�ŝŶĚŝĐĂ�ŶşǀĞů�ŵşŶŝŵŽ�ĚĞ�ƚĞŶƐĆŽ�ĚĞ�reset�ŝŐƵĂů�Ă�ϱϬй�ĚĂ�ƚĞŶƐĆŽ�ĚĞ�
ĂůŝŵĞŶƚĂĕĆŽ�ĚŽ�ƐŝƐƚĞŵĂ͘�
Diodo
+ 5 V
R
C
Oscilador
1 MHz
UCP
Reset
�ŽŶƐŝĚĞƌĂŶĚŽ�ƋƵĞ�Ž�ĐĂƉĂĐŝƚŽƌ�Ġ�ĚĞ�ϭ�ђ&�Ğ�ƋƵ��ln�Ϭ͕ϱ�с���Ϭ͕ϲϵ͕�Ž�ǀĂůŽƌ�ŵşŶŝŵŽ�ĚŽ�ƌĞƐŝƐƚŽƌ�Z�ĚĞǀĞ�ƐĞƌ�
ĚĞ�ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ
A 77Ÿ.
B 145Ÿ.
C 190Ÿ.
D 770Ÿ.
E 1 450Ÿ.
ÁREA LIVRE 
*R17201438*
ϯϵ
�E'�E,�Z/���>�dZ/��
QUESTÃO 35 - Controle e Automação
�K� ĞƐƚƵĚŽ� ĚĞ� ƐŝƐƚĞŵĂƐ� ůŝŶĞĂƌĞƐ� Ġ� ŝŵƉŽƌƚĂŶƚĞ� Ğŵ�
ĞŶŐĞŶŚĂƌŝĂ�ƉĞůŽ�ĨĂƚŽ�ĚĞ�ƋƵĞ�ďŽĂ�ƉĂƌƚĞ�ĚŽƐ�ĨĞŶƀŵĞŶŽƐ�
İ�ƐŝĐŽƐ� ƉŽĚĞ� ƐĞƌ� ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ� ĚĞƐĐƌŝƚĂ� ƉŽƌ�
ĐŽŵƉŽƌƚĂŵĞŶƚŽƐ� ůŝŶĞĂƌĞƐ͕� ĂŽ�ŵĞŶŽƐ�Ğŵ� ƚŽƌŶŽ�ĚŽƐ�
ƉŽŶƚŽƐ� ĚĞ� ŽƉĞƌĂĕĆŽ͘� WŽƌ� ŽƵƚƌŽ� ůĂĚŽ͕� Ă� ƚĞŽƌŝĂ� ĚĞ�
ƐŝƐƚĞŵĂƐ�ůŝŶĞĂƌĞƐ�Ġ�ŵƵŝƚŽ�ƷƟ�ů�ƚĂŵďĠŵ�ŶŽ�ĞƐƚƵĚŽ�ĚŽ�
ĐŽŵƉŽƌƚĂŵĞŶƚŽ�ůŽĐĂů�ĚĞ�ƐŝƐƚĞŵĂƐ�ŶĆŽͲůŝŶĞĂƌĞƐ͘
�� ŝŵƉŽƌƚĂŶƚĞ� ƐĂůŝĞŶƚĂƌ� ƋƵĞ� ŽƐ� ƐŝƐƚĞŵĂƐ� İ�ƐŝĐŽƐ�
ƉŽĚĞŵ� ƐĞƌ� ƌĞƉƌĞƐĞŶƚĂĚŽƐ� ƉŽƌ� ĞƋƵĂĕƁĞƐ� ĂůŐĠďƌŝĐĂƐ�
Ğ� ĞƋƵĂĕƁĞƐ� ĚŝĨĞƌĞŶĐŝĂŝƐ͕� ůŝŶĞĂƌĞƐ� Ğ� ŶĆŽͲůŝŶĞĂƌĞƐ͕� Ğ�
Ž�ĞƐƚƵĚŽ�ĚĞ�ƚĂŝƐ�ƐŝƐƚĞŵĂƐ�ĞŶǀŽůǀĞ�Ă�ŵŽĚĞůĂŐĞŵ�Ğ�Ă�
ƐŽůƵĕĆŽ�ĚĞƐƐĂƐ�ĞƋƵĂĕƁĞƐ͘
EŽ� ĐĂƐŽ� ĞƐƉĞĐşĮ�ĐŽ� ĚĂ� ĞƋƵĂĕĆŽ� ĂďĂŝdžŽ͕� ƉĂƌĂ� ƵŵĂ�
ĞŶƚƌĂĚĂ�x(t)͕�y(t)�Ġ�Ă�ƐĂşĚĂ�ĚĞ�Ƶŵ�ƐŝƐƚĞŵĂ�ĚĂĚĂ�ƉŽƌ
y(t) = (x(t))a+bx(t)+c.
WĂƌĂ� ĂůŐƵŵĂƐ� ĐŽŵďŝŶĂĕƁĞƐ� ĚŽƐ� ǀĂůŽƌĞƐ� ĚĂƐ�
ĐŽŶƐƚĂŶƚĞƐ�a͕�b e c͕�Ž�ƐŝƐƚĞŵĂ�ƉŽĚĞƌĄ�ƐĞƌ� ůŝŶĞĂƌ�ŽƵ�
ŶĆŽͲůŝŶĞĂƌ͘ �K�ƐŝƐƚĞŵĂ�ƌĞƐƵůƚĂŶƚĞ�ƐĞƌĄ�ůŝŶĞĂƌ�ƋƵĂŶĚŽ
A a = 0, b = 1, c = 0.
B a = 1, b = 1, c = 0.
C a = 1, b = 0, c = 1.
D a = 2, b = 0, c = 1.
E a = 2, b = 0, c = 0.
ÁREA LIVRE 
QUESTÃO 35 - Telecomunicações
�hŵ� ĚĞƚĞƌŵŝŶĂĚŽ� ƐŝŶĂů ĚĞ� ĄƵĚŝŽ͕� ĐŽŵ� ĚĞŶƐŝĚĂĚĞ�
ĞƐƉĞĐƚƌĂů�ĚĞ�ƉŽƚġŶĐŝĂ�ĂƉƌĞƐĞŶƚĂĚĂ�ŶŽ�ŐƌĄĮ�ĐŽ�ĂďĂŝdžŽ͕�
ĚĞǀĞ� ƐĞƌ� ŐƌĂǀĂĚŽ� Ğŵ���� ;�ŽŵƉĂĐƚ��ŝƐĐͿ� ƵƟ�ůŝnjĂŶĚŽ
Ƶŵ� ĐŽŶǀĞƌƐŽƌ� ĂŶĂůſŐŝĐŽͲĚŝŐŝƚĂů� ;�ͬ�Ϳ� ĐŽŵ� ϭ 024
ŶşǀĞŝƐ͘� EĂ� ƐĂşĚĂ� ĚŽ� ĐŽŶǀĞƌƐŽƌ͕ � ĂŽƐ� bits� ĐŽĚŝĮ�ĐĂĚŽƐ�
ƐĞƌĆŽ� ĂĚŝĐŝŽŶĂĚŽƐ� bits� ƉĂƌĂ� ĐŽƌƌĞĕĆŽ� ĚĞ� ĞƌƌŽƐ͕�
bits� ĚĞ� ƐŝŶĐƌŽŶŝƐŵŽ� Ğ� bits� ĚĞ� ĐŽŶƚƌŽůĞ͘� �ƐƐĞƐ� bits
ĂĚŝĐŝŽŶĂŝƐ� ƌĞƉƌĞƐĞŶƚĂŵ� ƵŵĂ� ƐŽďƌĞĐĂƌŐĂ� ĚĞ� ϮϬϬй͕�
ŝƐƚŽ�Ġ͕�ƉĂƌĂ�ĐĂĚĂ�bit�ŐĞƌĂĚŽ�ŶŽ�ĐŽŶǀĞƌƐŽƌ��ͬ�͕�Ϯ�bits
ĚĞ�ƐŽďƌĞĐĂƌŐĂ�ƐĆŽ�ĂĚŝĐŝŽŶĂĚŽƐ͘
Densidade Espectral
de Potência (W/Hz)
0 22,05 f(kHz)
WĂƌĂ�ĞƐƐĂ�ƐŝƚƵĂĕĆŽ͕�Ă�ƚĂdžĂ�ĚŽ�ƐŝƐƚĞŵĂ�ĚĞ�ŐƌĂǀĂĕĆŽ�ĚŽ�
ƐŝŶĂů�ĚĞ�ĄƵĚŝŽ�ŶŽ���͕�Ğŵ�ŬďŝƚͬƐ͕�ĚĞǀĞ�ƐĞƌ�ŝŐƵĂů�Ă
A ϭ�ϳϲϰ͕Ϭ͘
B ϭ�ϯϮϯ͕Ϭ͘
C ϴϴϮ͕Ϭ͘
D ϲϲϭ͕ϱ͘
E ϰϰϭ͕Ϭ͘
ÁREA LIVRE 
*R17201439*
40
�E'�E,�Z/���>�dZ/��
QUESTÃO 1
YƵĂů� Ž� ŐƌĂƵ� ĚĞ� ĚŝĮĐƵůĚĂĚĞ� ĚĞƐƚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
&ŽƌŵĂĕĆŽ�'ĞƌĂů͍
A�DƵŝƚŽ�ĨĄĐŝů͘
B�&ĄĐŝů͘
C�DĠĚŝŽ͘
D��ŝİĐŝů͘
E�DƵŝƚŽ�ĚŝİĐŝů͘
QUESTÃO 2 
YƵĂů� Ž� ŐƌĂƵ� ĚĞ� ĚŝĮĐƵůĚĂĚĞ� ĚĞƐƚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ͍
A�DƵŝƚŽ�ĨĄĐŝů͘
B�&ĄĐŝů͘
C�DĠĚŝŽ͘
D��ŝİĐŝů͘
E�DƵŝƚŽ�ĚŝİĐŝů͘
QUESTÃO 3 
�ŽŶƐŝĚĞƌĂŶĚŽ�Ă�ĞdžƚĞŶƐĆŽ�ĚĂ�ƉƌŽǀĂ͕�Ğŵ�ƌĞůĂĕĆŽ�ĂŽ�ƚĞŵƉŽ�
ƚŽƚĂů͕�ǀŽĐġ�ĐŽŶƐŝĚĞƌĂ�ƋƵĞ�Ă�ƉƌŽǀĂ�ĨŽŝ
A�ŵƵŝƚŽ�ůŽŶŐĂ͘
B�ůŽŶŐĂ͘
C�ĂĚĞƋƵĂĚĂ͘
D�ĐƵƌƚĂ͘
E�ŵƵŝƚŽ�ĐƵƌƚĂ͘
QUESTÃO 4 
KƐ� ĞŶƵŶĐŝĂĚŽƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
&ŽƌŵĂĕĆŽ�'ĞƌĂů�ĞƐƚĂǀĂŵ�ĐůĂƌŽƐ�Ğ�ŽďũĞƟǀŽƐ͍
A�^ŝŵ͕�ƚŽĚŽƐ͘
B�^ŝŵ͕�Ă�ŵĂŝŽƌŝĂ͘
C��ƉĞŶĂƐ�ĐĞƌĐĂ�ĚĂ�ŵĞƚĂĚĞ͘
D�WŽƵĐŽƐ͘
E�EĆŽ͕�ŶĞŶŚƵŵ͘
QUESTÃO 5 
KƐ� ĞŶƵŶĐŝĂĚŽƐ� ĚĂƐ� ƋƵĞƐƚƁĞƐ� ĚĂ� ƉƌŽǀĂ� ŶĂ� ƉĂƌƚĞ� ĚĞ�
�ŽŵƉŽŶĞŶƚĞ��ƐƉĞĐşĮĐŽ�ĞƐƚĂǀĂŵ�ĐůĂƌŽƐ�Ğ�ŽďũĞƟǀŽƐ͍
A�^ŝŵ͕�ƚŽĚŽƐ͘
B�^ŝŵ͕�Ă�ŵĂŝŽƌŝĂ͘
C��ƉĞŶĂƐ�ĐĞƌĐĂ�ĚĂ�ŵĞƚĂĚĞ͘
D�WŽƵĐŽƐ͘
E�EĆŽ͕�ŶĞŶŚƵŵ͘
QUESTÃO 6
�Ɛ� ŝŶĨŽƌŵĂĕƁĞƐͬŝŶƐƚƌƵĕƁĞƐ� ĨŽƌŶĞĐŝĚĂƐ� ƉĂƌĂ� Ă� ƌĞƐŽůƵĕĆŽ�
ĚĂƐ�ƋƵĞƐƚƁĞƐ�ĨŽƌĂŵ�ƐƵĮĐŝĞŶƚĞƐ�ƉĂƌĂ�ƌĞƐŽůǀġͲůĂƐ͍
A�^ŝŵ͕�ĂƚĠ�ĞdžĐĞƐƐŝǀĂƐ͘
B�^ŝŵ͕�Ğŵ�ƚŽĚĂƐ�ĞůĂƐ͘
C�^ŝŵ͕�ŶĂ�ŵĂŝŽƌŝĂ�ĚĞůĂƐ͘
D�^ŝŵ͕�ƐŽŵĞŶƚĞ�Ğŵ�ĂůŐƵŵĂƐ͘
E�EĆŽ͕�Ğŵ�ŶĞŶŚƵŵĂ�ĚĞůĂƐ͘
QUESTÃO 7 
sŽĐġ�ƐĞ�ĚĞƉĂƌŽƵ�ĐŽŵ�ĂůŐƵŵĂ�ĚŝĮĐƵůĚĂĚĞ�ĂŽ�ƌĞƐƉŽŶĚĞƌ�
ă�ƉƌŽǀĂ͘�YƵĂů͍
A��ĞƐĐŽŶŚĞĐŝŵĞŶƚŽ�ĚŽ�ĐŽŶƚĞƷĚŽ͘
B�&ŽƌŵĂ�ĚŝĨĞƌĞŶƚĞ�ĚĞ�ĂďŽƌĚĂŐĞŵ�ĚŽ�ĐŽŶƚĞƷĚŽ͘
C��ƐƉĂĕŽ�ŝŶƐƵĮĐŝĞŶƚĞ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�ăƐ�ƋƵĞƐƚƁĞƐ͘
D�&ĂůƚĂ�ĚĞ�ŵŽƟǀĂĕĆŽ�ƉĂƌĂ�ĨĂnjĞƌ�Ă�ƉƌŽǀĂ͘
E�EĆŽ�ƟǀĞ�ƋƵĂůƋƵĞƌ�ƟƉŽ�ĚĞ�ĚŝĮĐƵůĚĂĚĞ�ƉĂƌĂ�ƌĞƐƉŽŶĚĞƌ�
ă�ƉƌŽǀĂ͘

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