A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports (Fig. 2.36). Show that the capacitance of a spherical capacitor is given by

Where r₁ and r₂ are the radii of outer and inner spheres, respectively.

Question

Philoid · Accepted Answer

Radius of the outer shell = r₁

Radius of the inner shell = r₂

Charge on the inner surface of the outer shell = Q

Charge on the outer surface of the inner shell = -Q

Potential difference between the two shells,

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

Since, Capacitance,

Hence, proved.

A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports (Fig. 2.36). Show that the capacitance of a spherical capacitor is given byWhere r1 and r2 are the radii of outer and inner spheres, respectively.