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Question

A charge is fixed at each of the points , , . . . . . on the x - axis and a charge is fixed at each of the points ....... Here is a positive constant. Take the electric potential at a point due to a charge at a distance from it to be . Then the potential at the origin due to the above system of charges is:

A

B

C

D

Hard

Solution

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Correct option is
D

Given potential at a distance r is

Now total potential at origin due to +q charges are





Total potential due to -q charges at origin is



Now total
we know






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