Electrostatics Question 310

Question: The value of electric potential at any point due to any electric dipole is [MP PMT 2004]

Options:

A) $ k.\frac{\overrightarrow{p}\times \overrightarrow{r}}{r^{2}} $

B) $ k.\frac{\overrightarrow{p}\times \overrightarrow{r}}{r^{3}} $

C) $ k.\frac{\overrightarrow{p}\cdot \overrightarrow{r}}{r^{2}} $

D) $ k.\frac{\overrightarrow{p}\cdot \overrightarrow{r}}{r^{3}} $

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Answer:

Correct Answer: D

Solution:

Potential due to dipole in general position is given by

$ V=\frac{k.p\cos \theta }{r^{2}} $

$ \Rightarrow $ $ V=\frac{k.p\cos \theta r}{r^{3}}=\frac{k.(\vec{p}.\vec{r})}{r^{3}} $



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