Question

Electric field due to a very short dipole at its axial point is


e. electric field by the dipole at the same distance at its equitorial point at the same distance at its equitorial point will be

Answer 1

The electric field produced due to a dipole at any axial point which is at a distance r from the centre of the dipole is-

                                          $E_{axial} =\frac{1}{4\pi \epsilon} \frac{2P}{r^3}$

 Here P is the dipole moment.

The electric field due to a dipole at same distance from the centre on equitorial line is-

                                         $E_{equi} =\frac{1}{4\pi \epsilon} \frac{P}{r^3}$

From above we see that-   $E_{equi}= \frac{1}{2} E_{axial}$

We have been given that electric field on axial line is e unit.

Hence, the electric field on the equitorial line  $=\frac{e}{2}\ unit$