What is the flux through a cube of side $a$ if a point charge of $q$ is a one of its corner?

What is the flux through a cube of side $a$ if a point charge of $q$ is a one of its corner?
  1. $\frac{2 q}{\varepsilon_0}$
  2. $\frac{q}{8 \varepsilon_0}$
  3. $\frac{q}{\varepsilon_0}$
  4. $\frac{q}{2 \varepsilon_0} 6 a^2$

Solution

Charge enclosed $=q / 8$ $\begin{aligned}
& \text {Therefore, flux } \\
& \phi =\frac{q_{\text {enclosed }}}{\varepsilon_0} \\
& \phi =\frac{q}{8 \varepsilon_0}
\end{aligned}$

Asked in: NEET 2012 (Screening)

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