Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

A parallel plate capacitor having area A and separated by distance d is filled by copper plate of thickness b. The new capacitance is:

Options:

$\frac{\varepsilon_0 A}{d+2 b}$

$\frac{\varepsilon_0 A}{2 d}$

$\frac{\varepsilon_0 A}{d-b}$

$\frac{2 \varepsilon_0 A}{d+2 b}$

Correct Answer:

$\frac{\varepsilon_0 A}{d-b}$

Explanation:

The correct answer is Option (3) → $\frac{\varepsilon_0 A}{d-b}$

The effective seperation between the plates is -

$d_{effective}=d-b$

Now,

The capacitance of a parallel plate capacitor is -

$C=\frac{ε_0A}{d_{effective}}=\frac{\varepsilon_0 A}{d-b}$