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Question

Two electric dipoles, A, B with respective dipole moments ${\overrightarrow d _A} = - 4qai$ and ${\overrightarrow d _B} = - 2qai$ 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 -

${{\sqrt 2 R} \over {\sqrt 2 + 1}}$
${R \over {\sqrt 2 + 1}}$
${{\sqrt 2 R} \over {\sqrt 2 - 1}}$
${R \over {\sqrt 2 - 1}}$

Solution

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