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Question:

Two electric dipoles, A and B, with respective dipole moments →dA = 2qa^i and →dB = -qa^i, are placed on the x-axis with a separation R, as shown in the figure. The distance from A at which both of them produce the same potential is?

R√2−1

√2R√2−1

√2R√2+1

R√2+1

Solution:

The correct option is C √2R√2+1
V=4qa/(R+x)=2qa/(x^2)
√2x=R+x
x=R√2/(√2−1)
distance=R√2/(√2−1)+R=√2R√2+1.