Gauss’s law is true only if force due to a charge varies as

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1. Electric Charges and Fields

easy

Gauss’s law is true only if force due to a charge varies as

A

${r^{ - 1}}$

B

${r^{ - 2}}$

C

${r^{ - 3}}$

D

${r^{ - 4}}$

Solution

Gauss's law is true only if force due to a charge varies as :-

$\phi=\frac{q}{\epsilon_0}$

$\phi=E A$

or, $\phi=\frac{1}{4 \pi \varepsilon_0} \frac{ q }{ r ^2} A$

or, $\frac{F}{A}=\frac{1}{4 \pi \varepsilon_0} \frac{q}{r^2} A$

or, $F \propto r^{-2}$

Standard 12

Physics

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