Question

Charge is uniformly distributed in a space. The net flux passing through the surface of an imaginary cube of side a in the space is f. The net flux passing through the surface of an imaginary sphere of radius a in the space will be

• A. $f$
• B. $\frac{3}{4\pi }\varphi$
• C. $\frac{2\pi }{3}\varphi$
• D. $\frac{4\pi }{3}\varphi$

Answer 1

The correct option is D $\frac{4\pi }{3}\varphi$

$\varphi \frac{pV}{{ϵ}_0}$
$\varphi \infty V$
$\therefore {\varphi }_{spkhere}=\frac{4}{3}\pi \times \varphi$