Let the electrostatic field E at distance r f | vedclass

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Question

$(b)$ If $E=\frac{k q}{r^{3}} \cdot \hat{ r }$, then flux through a shell enclosing a charge $q$ is

$\phi=\int E \cdot d A =\int \frac{k q}{r^{3}}

Vedclass · Accepted Answer

Only statement $II$ is valid

Vedclass · Answer

$(b)$ If $E=\frac{k q}{r^{3}} \cdot \hat{ r }$, then flux through a shell enclosing a charge $q$ is

$\phi=\int E \cdot d A =\int \frac{k q}{r^{3}} \cdot d A$

$=\frac{k q}{r^{3}} \int d A=\frac{k q}{r^{3}} \cdot 4 \pi r^{2}$

$	herefore \quad \phi=\frac{k q(4 \pi)}{r}=\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{4 \pi q}{r}$

$\Rightarrow \quad \phi=\frac{q}{\varepsilon_{0} r} 
eq \frac{q}{\varepsilon_{0}}$

Also, when $E=\frac{k q}{r^{3}}$, Gauss' law is not valid and electric field at an interior point of a charged shell is non-zero.

$	herefore$ Charge placed inside shell experience a force.

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