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(Upe) Duas esferas isolantes, A e B, possuem raios iguais a RA e RB e cargas, uniformemente distribuídas, iguais a QA e QB, respectivamente. Sabend...

(Upe) Duas esferas isolantes, A e B, possuem raios iguais a RA e RB e cargas, uniformemente distribuídas, iguais a QA e QB, respectivamente. Sabendo-se que 5QA = 2QB e ainda que 10RA = 3RB, qual a relação entre suas densidades volumétricas de cargas A B/ ?ρ ρ

a) 100/9
b) 15/8
c) 200/6
d) 400/27
e) 280/9

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A relação entre as densidades volumétricas de cargas das esferas A e B é dada por: ρA/ρB = QA/(4πRA²) / QB/(4πRB²) Substituindo 5QA por 2QB e 10RA por 3RB, temos: ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π(3RA/10)²)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = 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(5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = (5QA/(4πRA²)) / (2QB/(4π9RA²/100)) ρA/ρB = 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