An infinite nonconducting sheet of charge has a surface charge density of 10^{-7} C/m^2 . sepa

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2. Electric Potential and Capacitance

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An infinite nonconducting sheet of charge has a surface charge density of $10^{-7}\ C/m^2$. The separation between two equipotential surfaces near the sheet whose potential differ by $ 5\,V$ is

A

$0.88$ $ cm$

B

$0.88 $ $mm$

C

$0.88 $ $m$

D

$5$ $ \times $ $10^{-7}$ $ m$

Solution

$V=E d=\frac{\sigma}{2 \varepsilon_{0}} d$

$\therefore D=\frac{(2 \varepsilon)_{0 V}}{\sigma}$

$=2 \frac{\left(8.86 \times 10^{-12}\right)(5)}{10^{-7}}$

$=0.88 \times 10^{-3} \mathrm{m}$

$=0.88 \mathrm{mm}$

Standard 12

Physics

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