Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The force between the plates of a parallel plate capacitor of capacitance C, distance between plates d and potential difference V is

Options:

$\frac{CV^2}{2d}$

$\frac{CV^2}{d}$

$\frac{C^2V^2}{4πε_0d}$

$\frac{1}{2}ε_0\frac{}{}$

Correct Answer:

$\frac{CV^2}{2d}$

Explanation:

The correct answer is Option (1) → $\frac{CV^2}{2d}$

Electric field (E) between the plates -

$E=\frac{V}{d}$

∴ Force, $F =qE=q\frac{V}{d}$

$=(CV)(\frac{V}{d})$   $[Q=CV]$

$=\frac{CV^2}{d}$

∴ force between the plates = $\frac{CV^2}{2d}$