An electromagnetic oscillator is formed when charge sloshes back and forth between two identical, perfectly conducting spheres of radius R connected by a very thin, very long, perfectly conducting rod of radius a > R. The net charge of the entire structure is zero. Assume that no charge accumulates on the connecting rod and that the currents that flow in the spheres are negligible.

(a) Estimate the capacitance of this system.
(b) Estimate the inductance of this system.
(c) Show that the resonant frequency of the oscillator is

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