Q. 294.5( 6 Votes )

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.

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.

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