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}} $
Show Answer
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}} $
