If the electric flux entering and leaving an enclosed surface is $\phi_1$ and $\phi_2$ then charge enclosed…

If the electric flux entering and leaving an enclosed surface is $\phi_1$ and $\phi_2$ then charge enclosed in the surface is ( $\varepsilon_0=$ permittivity of free space)
  1. $\frac{\phi_2-\phi_1}{\varepsilon_0}$
  2. $\frac{\phi_2+\phi_1}{\varepsilon_0}$
  3. $\frac{\phi_1-\phi_2}{\varepsilon_0}$
  4. $\varepsilon_0\left(\phi_2-\phi_1\right)$

Solution

$\begin{aligned} & \Phi=\frac{q_{i n}}{\varepsilon_o} \\ & q_{i n}=\varepsilon_o \Phi \\ & q_{\text {in }}=\left(\Phi_2-\Phi_1\right) \varepsilon_o \end{aligned}$
Hence, option D is the correct answer.

Asked in: MHT CET 2024 (09 May Shift 1)

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