Answer :

Radius of the outer shell (r1) = 13cm = 0.13m

Radius of the inner shell (r2) = 12cm = 0.12m

Charge on the outer surface of the inner shell = 2.5 μC = 2.510-6C

Dielectric constant of liquid () = 32

Since, Potential difference between the two shells,


Where, = Absolute Permittivity of free space = 8.8510-12C2N-1m-2


(a) Capacitance,

C = 5.5510-9F

Hence, the capacitance of the capacitor = 5.5510-9F

(b) The potential of a capacitor (V), is given as:

V = 450 V

Hence, the potential of the inner sphere = 450V

(c) Radius of the isolated sphere(R) = 12 cm = 0.12m

Capacitance of an isolated sphere = 4πε0R

C = 4 × 3.14 × 8.85 × 10-12 × 0.12

C = 1.3310-11F

Where, ϵ0 is the Absolute Permittivity of free space = 8.8510-12C2N-1m-2The capacitance of the isolated sphere is less than that of the concentric spheres because the outer sphere of the concentric spheres is earthed. Hence, the potential difference is less and the capacitance is more than the isolated sphere.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

What is the area NCERT - Physics Part-I

A spherical capacNCERT - Physics Part-I

A small sphere ofNCERT - Physics Part-I

A cylindrical capNCERT - Physics Part-I

A. Find equivalenPhysics - Board Papers

An electrical tecNCERT - Physics Part-I

Three capacitors NCERT - Physics Part-I

In a parallel plaNCERT - Physics Part-I

A 12pF capacitor NCERT - Physics Part-I