Question: An irregular conductor containing an irregular, empty cavity carries a net charge Q. (a) Show that the electric field inside the cavity must be zero.

An irregular conductor containing an irregular, empty cavity carries a net charge Q.
(a) Show that the electric field inside the cavity must be zero.
(b) If you put a point charge inside the cavity, what value must it have in order to make the charge density on the outer surface of the conductor everywhere zero?

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