Two equal positive charges are kept at points A and B. The electric potential at the points between A and B (excluding these points) is studied while moving from A to B. The potential
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decreases then increases
Let the distance between the points A and B be r.
Let us take a point P at a distance x from
.
Electric potential V at point P due to two charges of equal magnitude q is given by


Now, differentiating V with respect to x, we get

Therefore,
.
It can be observed that
for
.
Thus, the potential is decreasing first.
At
, the potential is minimum.
As
for
, the potential is increasing after
.
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