Question

Two point charges and are placed at and respectively. The potential will be zero at points :

A

B

C

D

Hard

Solution

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Correct option is C)

Since the two charges are opposite, in between them there will be a point where the potential is zero
Let the point be at distance a from x=0.
We know that where r is the distance from the charge and the point. The total potential will be the sum of the two potentials.
From the conditions of the problem, we have

here we get

Also, there will be a point on the right side of the -1C charge where potential = 0. Let that point be at a distance b from x=0.
From the conditions of the problem, we have
Here we get

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