Uma placa quadrada de cobre com lados de
sem carga líquida é colocada em uma região de campo elétrico uniforme de
orientado perpendicularmente à placa. Encontre a carga total em cada face da placa. Use epsilon zero como
. De a resposta em C.
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For your examination, preferably print documents compiled from auto-multiple-choice.
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For your examination, preferably print documents compiled from auto-multiple-choice.
Passo 1
Beleza, vamos entender o que o problema está pedindo. Temos uma placa quadrada de cobre, com lados de 0,26 metros, sem carga líquida inicialmente. Essa placa é colocada em uma região onde há um campo elétrico uniforme de
, que está perpendicular à placa. Nossa missão aqui é descobrir qual é a carga total que se acumula em cada face da placa devido a esse campo elétrico. Para resolver isso, vamos precisar usar conceitos de eletrostática, especificamente a relação entre o campo elétrico, a permissividade do vácuo (
) e a densidade de carga. A fórmula que vai nos ajudar é
, onde
é a densidade de carga superficial. Vamos lá!
Passo 2
Primeiro, vamos calcular a densidade de carga superficial (
) na placa. A densidade de carga superficial é a quantidade de carga por unidade de área e é dada pela fórmula:
Onde:
-
(permissividade do vácuo) -
(campo elétrico)
Vamos substituir os valores:
Passo 3
Agora que temos a densidade de carga superficial, precisamos encontrar a carga total em cada face da placa. Como a placa é quadrada, podemos calcular a área da placa e então multiplicar pela densidade de carga.
A área (
) da placa é:
Então, a carga total (
) em cada face será:
Resposta
A carga total em cada face da placa é
.
Exercícios relacionados
Considere um sistema linear
qualquer. Suponhamos que o processo de escalonamento de sua matriz completa é dado por
Com base nas informações acima, classifique as afirmações abaixo em verdadeiras ou falsas, aoresentando breve justificativa.
(d) Se a matriz possui uma linha de zeros, então o sistema linear
é incompatível.
(d) Se a matriz
Uma pequena esfera carregada positivamente tem massa de
e cai do repouso no vácuo de uma altura de
em um campo elétrico vertical uniforme com magnitude de
. A esfera atinge o solo a uma velocidade de
. Determine a carga da esfera. Use a aceleração da gravidade como
e Dê a resposta em C.
nenhuma das outras
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Considere a matrizes
e
.
(b) Escolha matrizes-coluna e
de modo que
seja um sistema linear compatível e
seja um sistema linear incompatível.
(b) Escolha matrizes-coluna
Unidades eletrônicas de flash em uma câmera contém um capacitor para armazenar a energia usada para produzir o flash. Em tais unidades, o flash dura
s com uma potência média gerada de
. Se a conversão de energia elétrica em luz tem eficiência de
(o resto vai para energia térmica), quanta energia deve ser armazenada no capacitor para um flash?
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