Question

What is a spherical capacitor? Obtain the relation for capacitance of a spherical capacitor.
Answer.
Capacitance of an Isolated Spherical Conductor
Suppose an isolated spherical conductor of radius R is placed in a medium of dielectric constant K. If on giving a charge q, its potential becomes V, then
V =

Answer 1

Answer:

Explanation:

The capacitance for spherical or cylindrical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. By applying Gauss' law to an charged conducting sphere, the electric field outside it is found to be

The voltage between the spheres can be found by integrating the electric field along a radial line:

From the definition of capacitance, the capacitance is