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Question

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

A
continuously increases
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B
continuously decreases
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C
increases then decreases
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D
decreases then increases
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Solution

The correct option is D decreases then increases

Let distance between A and B be d

Then potential at any distance x from point A is given by

V=kqx+kq(dx)

V=kq(1x+1(dx))

Now

dV/dx=kqd(2xd)(x(dx))2

therefore for x<d/2

dV/dx<0 therefore potential decreases

and for x>d/2

dV/dx>0 therefore potential increases

Hence first decreases then increases option (D)


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