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

  • [AIPMT 2003]
  • A

    $\frac{{4\pi q}}{{6(4\pi {\varepsilon _0})}}$

  • B

    $\frac{{\pi q}}{{6(4\pi {\varepsilon _0})}}$

  • C

    $\frac{q}{{6(4\pi {\varepsilon _0})}}$

  • D

    $\frac{{2\pi q}}{{6(4\pi {\varepsilon _0})}}$

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A positive charge $q$ is kept at the center of a thick shell of inner radius $R_1$ and outer radius $R_2$ which is made up of conducting material. If $\phi_1$ is flux through closed gaussian surface $S_1$ whose radius is just less than $R_1$ and $\phi_2$ is flux through closed gaussian surface $S_2$ whose radius is just greater than $R_1$ then:-