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.