Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The spheres shown in the figure are connected by a conductor. The capacitance of the system is

Options:

$4 \pi \varepsilon_0 C_1 \frac{a b}{b-a}$

$4 \pi \varepsilon_0 a$

$4 \pi \varepsilon_0 b$

$4 \pi \varepsilon_0 \frac{a^2}{b-a}$

Correct Answer:

$4 \pi \varepsilon_0 b$

Explanation:

As there will be no charge on the inner sphere, therefore the capacitance only will exist due to outer sphere.

Hence the capacitance of the system is the capacitance due to outer sphere of radius b,

therefore C = $4 \pi \varepsilon_0 b$.

∴ (C) is correct