Question: A spherical capacitor consists of two thin concentric spherical shells of radii R 1 and R 2 . (a) Show that the capacitance is given

A spherical capacitor consists of two thin concentric spherical shells of radii R1 and R2. 

(a) Show that the capacitance is given by C = 4πe0R1R2 / (R2 – R1).

(b) Show that when the radii of the shells are nearly equal, the capacitance is given approximately by the expression for the capacitance of a parallel-plate capacitor, C = e0A/d, where A is the area of the sphere and d = R2 – R1.

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