Physics Electrostatics Potential & Capacitance Electric Potential and Potential Difference MCQ (Single Correct)

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
B
continuosly decreases
C
increases then decreases
D
decreases than increases

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Text Solution

Verified by Experts
The correct answer is:
D

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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