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I came across this topic while reading Principles of Electrodynamics which can be read from this link starting at page 54.

Looking at page 56, my question is how could there be induced charge on a grounded conductor ? what happens then to the equation Q = C * V, where Q is charge on the said conductor, C is capacitance of that conductor, and V is potential on that conductor.

I would greatly appreciate it if someone provided a rigorous proof of his/her answer.

Thanks