Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. The thickness of the sheet is half of the separation between the plates. The capacitance now becomes

Options:

4C

2C

$\frac{C}{4}$

$\frac{C}{2}$

Correct Answer:

2C

Explanation:

Before the metal sheet is inserted, $C =\frac{\epsilon_0A}{d}$

 After the sheet is inserted, the system is equivalent to two capacitors in series, each of capacitance $C' =\frac{\epsilon_0A}{d/4}$

The equivalent capacity is now 2C.