Question: Two pyramid-shaped conductors each carry a net charge Q. (a) Transfer charge Q from pyramid 2 to pyramid 1. Derive a condition on the coefficients

Two pyramid-shaped conductors each carry a net charge Q.

(a) Transfer charge δQ from pyramid 2 to pyramid 1. Derive a condition on the coefficients of potential Pij which guarantees that this charge transfer lowers the total energy of the system.
(b) Show that the condition in part (a) implies a condition on the coefficients of capacitance.

(c) Under what circumstances can the condition in part (b) be used to determine that pyramid 1 is larger than pyramid 2?

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