Question

(i) Write an expression (derivation not required) for intensity of electric field in:

(1) Axial position.

(2) Broad side position of an electric dipole, in terms of its length (2a) dipole moment (p) and distance (r).

(ii) What is the ratio of these two intensities i.e. E1 : E2, for a short electric dipole?

Answer 1

(i) (1)$E_1=\frac{1}{4\pi {ϵ}_0}\times \frac{2pr}{{(r^2-a^2)}^2}$

(2)$E_2=\frac{1}{4\pi {ϵ}_0}\times \frac{p}{{(r^2+a^2)}^{3/2}}$

(ii) $E_1=2E_2,E_1:E_2=2:1$