SOLUÇÃO LISTA 11

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SOLUÇÃO - LISTA 11
FÍSICA II - CIRCUITOS LC, RCL
NOVEMBRO - 2018
1. (a) w0 =
2π
T
=
√
1
L(C1 + C2)
(b) i = ϕ0(C1 +C2)w0 sin(w0t)
2. (a) w0 =
√
2
LC
(b) ϕ =
ϕ0
2
(1− cos(w0t))
3. (a) q =
2
3
EC(1− cos(w0t))
(b) imax = E
√
2C
3L
4. (a) q1 = EC1
(
1 +
C1
C1 +C2
cos(w0t)
)
q2 = E
C1C2
C1 +C2
cos(w0t)
(b) imax = EC1w0
5. (a) i =
E
R
(
1− e−
R
L
t
)
(b) ϕa − ϕb = E
(
1− e−
1
RC
t
)
6. (a) w2 = w2
0
− α2,
onde α =
R
2L
, w2
0
=
1
LC
(b) i = qmaxe
−αtw0 sin(wt+ β)
onde sin(β) =
α
w0
7. (a) i = ϕ0Ce
−αt
(
α cos(wt) +w sin(wt)
)
onde α =
R
4L
, w2
0
=
1
2LC
, w2 = w2
0
− α2
(b) ∆ϕ1 =
ϕ0
2
(
e−t/RC + e−αt cos(wt)
)
∆ϕ2 =
ϕ0
2
(
e−αt cos(wt)− e−t/RC
)
8. (a) w2 = w2
0
− α2
onde α =
1
2RC
, w2
0
=
1
LC
(b) i1 = ECe
−αt
(
α cos(wt) + w sin(wt)
)
i2 =
E
R
e−αt cos(wt)
1