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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Capacitance

BITSAT 2023 · Paper 2 · Physics · Capacitance

A capacitor of capacitance C is charged to a potential V. The flux...

A capacitor of capacitance CC is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is:

Options

  1. ACV2ε0\frac{C V}{2 \varepsilon_0}
  2. B2CVε0\frac{2 \mathrm{CV}}{\varepsilon_0}
  3. CCVε0\frac{\mathrm{CV}}{\varepsilon_0}
  4. D
    Zero

Correct answer

C. CVε0\frac{\mathrm{CV}}{\varepsilon_0}

Step-by-step solution

From the Gauss's lawϕ=qin ϵ0=Qϵ0∵Q=CV∴ϕ=CVϵ0\begin{aligned} \\ & \phi=\frac{\mathrm{q}_{\text{in }}}{\epsilon_0}=\frac{\mathrm{Q}}{\epsilon_0} \quad \because \mathrm{Q}=\mathrm{CV} \\ \\ & \therefore \phi=\frac{\mathrm{CV}}{\epsilon_0} \\ \end{aligned}
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