Consider a set of charges q, 2q, 3q, and 4q placed at the vertices of a square whose edge has a length a.
a. Calculate the total electric potential energy, U, that is required to assemble this arrangement of charges compared with having the charges infinitely far apart.
b. Now imagine that a charge Q is moved from infinitely far away to the centre of this square of charges. Would it be possible to assemble all five charges—Q and the four charges of part a—without performing any work at all? If so, explain what value of Q you should choose; if not, explain why some work would always be necessary.
Homework Answers
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