Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The electrostatic force between the plates of an isolated parallel plate capacitor having charge Q and area of each plate A is:

Options:

\(\frac{Q^2}{2Aε_0}\)

\(Q^22Aε_0\)

\(\frac{σ}{2ε_0}\)

\(\frac{Q}{2Aε_0}\)

Correct Answer:

\(\frac{Q^2}{2Aε_0}\)

Explanation:

$\text{Electric Field due to one plate of capacitor at other plate is } E = \frac{\sigma}{2\epsilon_0} = \frac{Q}{2\epsilon_0 A}$

$ \text{Force } F = QE = \frac{Q^2}{2\epsilon_0 A}$