Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

A metal foil of negligible thickness is introduced between two plates of a capacitor at the centre. The new Capacitance of the capacitor would be:

Options:

C

2C

$\frac{C}{2}$

Zero

Correct Answer:

C

Explanation:

The correct answer is Option (1) → C

When we insert a foil of negligible thickness between the parallel plates of the capacitor, the area will not change.

$C_1=C_2=\frac{2ε_0A}{d}$

$\frac{1}{C_{eff}}=\frac{1}{C_1}+\frac{1}{C_2}=\frac{d}{ε_0A}$

$⇒C_{eff}=\frac{ε_0A}{d}$

Hence, the capacitance remains the same.