Question

The value of electric potential at any point due to any electric dipole is

• A. $k \cdot \frac{\vec{p} \times \vec{r}}{r^{2}}$
• B. $k \cdot \frac{\vec{p} \times \vec{r}}{r^{3}}$
• C. $k \cdot \frac{\vec{p} \cdot \vec{r}}{r^{2}}$
• D. $k \cdot \frac{\vec{p} \cdot \vec{r}}{r^{3}}$

Answer 1

Answer: (D)

Potential due to dipole in general position is given by
$V=\frac{k \cdot p \cos \theta}{r^{2}}$
$\Rightarrow V= \frac{k \cdot p \cos \theta r}{r^{3}}$
$=\frac{k \cdot(\vec{p} \cdot \vec{r})}{r^{3}}$