Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The conducting spherical shells shown in the figure are connected by a conductor. The capacitance of the system is

Options:

$4\pi\epsilon_0 \frac{ab}{b-a}$

$4\pi\epsilon_0 a$

$4\pi\epsilon_0 b$

$4\pi\epsilon_0 \frac{b^2}{b-a}$

Correct Answer:

$4\pi\epsilon_0 b$

Explanation:

$\text{Since the two conductors are connected hence the capacitance of the system is the capacitance due to outer sphere of radius b.}$

                        $ \Rightarrow C = 4\pi \epsilon_0 b$