Question

The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment ${\displaystyle \overrightarrow{\text{p}}}$ is given by, (r >> separation of two charges forming the dipole, ${\displaystyle {\epsilon }_0-}$ permittivity of free space) ____________.

विकल्प

• ${\displaystyle \overrightarrow{\text{E}}=-\frac{\overrightarrow{\text{p}}}{4\pi {\epsilon }_0 {\text{r}}^3}}$

• ${\displaystyle \overrightarrow{\text{E}}=\frac{\overrightarrow{\text{p}}}{4\pi {\epsilon }_0 {\text{r}}^3}}$

• ${\displaystyle \overrightarrow{\text{E}}=\frac{2\overrightarrow{\text{p}}}{4\pi {\epsilon }_0 {\text{r}}^3}}$

• ${\displaystyle \overrightarrow{\text{E}}=-\frac{\overrightarrow{\text{p}}}{4\pi {\epsilon }_0 {\text{r}}^2}}$

Answer 1

The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment ${\displaystyle \overrightarrow{\text{p}}}$ is given by,${\displaystyle \overrightarrow{\text{E}}=-\frac{\overrightarrow{\text{p}}}{4\pi {\epsilon }_0 {\text{r}}^3}}$.