The capacitance ( ) for an isolated conducting sphere of radius ( ) is given by

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

The capacitance (

C

) for an isolated conducting sphere of radius (

a

) is given by

4\pi\epsilon_0 a

. This sphere is enclosed within an earthed concentric sphere. The ratio of the radii of the spheres being

\frac{n}{(n-1)}

then the capacitance of such a sphere will be increased by a factor- (A)

n

(B)

\frac{n}{(n-1)}

(C)

\frac{(n-1)}{n}

(D)

a.n