Q189 / 200 · Manipal (MET) 2013 · Physics

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

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

Solution

Gauss's law $\phi=\frac{q}{\varepsilon_0}$ $\phi^{\prime}=\frac{\phi}{6}=\frac{q}{6 \varepsilon_0}=\frac{4 \pi q}{6\left(4 \pi \varepsilon_0\right)}$

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

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