A "spherical capacitor" is constructed of two thin, concentric spherical shells of conducting material. Let a be the radius of the smaller sphere, and b be the radius of the larger sphere.
1. Find the capacitance of a spherical capacitor. Express your resul in terms of a, b, and other contants.

The capacitance of a spherical capacitor can be give by

Explanation:

Let Q = Magnitude of the charge on the spherical conductor

a = Radius of the smaller sphere

b = Radius of the larger sphere

According to Gauss' law,

The electric potential between the spherical conductor is given by :

But

The capacitance of the spherical capacitor can be given by

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