Two electric charges each equal to +Q, are separated by adistance d. If you make

Question

Two electric charges each equal to +Q, are separated by adistance d. If you make a graph of the electrical potentialas a function of the distance along the line connecting the twocharges, the point exactly midway between the two chargeswould A) be neither a relative maximum nor a relative minimum B) be a relative minimum C) be a relative maximum D) oscillate between being a relative maximum and a relativeminimum Why? Two electric charges each equal to +Q, are separated by adistance d. If you make a graph of the electrical potentialas a function of the distance along the line connecting the twocharges, the point exactly midway between the two chargeswould A) be neither a relative maximum nor a relative minimum B) be a relative minimum C) be a relative maximum D) oscillate between being a relative maximum and a relativeminimum Why?

Explanation / Answer

Here the two charges are +Q and +Q respectively. Distance between the two charges is d Then potential due to +Q at the midpoint between thecharges is k(Q)/d/2 = 2kQ/d Now the total potential is V = 4kQ/d If you take point other than midpoint then potential bewill greater than this value . Thus the potential at the midpoint be a relative minimum. Option B) correct.

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