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:

A

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

B

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

C

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

D

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