Q122 / 200 · NEET 2003 · Physics

A charge $q$ is located at the centre of a cube. The electric flux through any face is:

  • A
    \(\frac{2 \pi q}{6\left(4 \pi \varepsilon_0\right)}\)
  • Correct answer
    B
    \(\frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)}\)
  • C
    \(\frac{\pi q}{6\left(4 \pi \varepsilon_0\right)}\)
  • D
    \(\frac{\mathrm{q}}{6\left(4 \pi \varepsilon_0\right)}\)

Solution

Electric flux through any face $\begin{aligned} & =\frac{\text { Total flux }}{\text { number of faces }}=\frac{\left(q / E_0\right)}{6} \\ & =\frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)} \end{aligned}$

Hence, the correct answer is option: 'B'.

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