A closed surface in vacuum encloses charges -q and +3q. Another charge -2q lies out side the surface. The total electric flux over the surface is: |
Zero $2 q / \epsilon_{o}$ $\frac{-3 q}{\epsilon_o}$ $4 q / \epsilon_{o}$ |
$2 q / \epsilon_{o}$ |
The correct answer is Option (2) → $2 q / \epsilon_{o}$ $\Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0}$ [Gauss's law] where, $\Phi_E$ = electric flux $Q_{\text{enc}}$ = charge enclosed $\epsilon_0$ =permittivity of free space $Q_{\text{enc}} = (-q) + (+3q) = 2q$ $∴\Phi_E =\frac{2q}{\epsilon_0}$ |