A cube has point charges at all corners No two charges have

A cube has point charges at all corners No two charges have the same value, all are unique. is it possible for the electric potental (not the electric fieldl) at the center of the cube to be zero? (Assume the point charge definition of potential in which V-0 at infnity) it the potential cannot be zero, explain why It the porential can be zero, what a special relationship must the charges have?

Solution

Assume:

length of cube\'s side = a

Referance: It is possible for electric field at the center of cube to be zero in this case, and reason is for that because V = Kq1/a, so if we have to +q and -q charges at every opposite corner then total sum becomes zero.

Now in our case we have to find out if electric potential is zero at a corner of the cube, so the answer will be NO, because we cannot cancel out electric potential by above method, As (given no two charge have the same value) distance will be different for each charge, which cannot be cancel out.

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