Two electric dipoles, A, B with respective dipole moments and 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 :math widget

Engineering

Physics

Electric Dipole

Question

Two electric dipoles, A, B with respective dipole moments $\vec{d_A}=-4qa\hat{i}$ and $\vec{d_B}=-2qa\hat{i}$ 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 :

$\frac{R}{\sqrt{2} + 1}$

$\frac{\sqrt{2} R}{\sqrt{2} + 1}$

$\frac{\sqrt{2} R}{\sqrt{2} - 1}$

$\frac{R}{\sqrt{2} - 1}$

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