For a short electric dipole, what is the ratio of the magnitude of the electric field at a point on its axial line to the magnitude of the electric field at a point on its equatorial line, given that both points are at the same large distance r from the centre of the dipole?

Step-by-step solution

The magnitude of the electric field at a point on the axial line of a short electric dipole at a distance r from its centre is given by: E_ axial = 1 4 ₀ 2p r^3 The magnitude of the electric field at a point on the equatorial line of the same short dipole at the same distance r is given by: E_ equatorial = 1 4 ₀ p r^3 Taking the ratio of the two magnitudes: E_ axial E_ equatorial = 1 4 ₀ 2p r^3 1 4 ₀ p r^3 = 2 1 Therefore, the required ratio is 2:1 . Answer: 2:1