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1) The charges will settle to an arrangement in which the conducting
material is an equipotential volume (E=0) under the combined effects of the
three items, the imposed charge, the inner surface charge and the outer
surface charge.
2) In the case of the single imposed charge centered inside a hollow,
conducting sphere the imposed central charge and the inner surface charge
alone accomplish this as a pair, and the outer surface charge also does so
(contributes zero E and constant V throughout the conducting material).
3) Two questions:
a) If the imposed charge moves off center will the inner surface charge
still settle so that it and the imposed charge still (as a pair) contribute
zero E in the conducting material.
If so, the outer surface charge must
still contribute zero E (constant V) and so will not be re=arranged.
b) If a) is so for the sphere, is it true for the generally shaped hollow
conductor enclosing a fixed imposed charge.