Question

At a given distance from the centre of electric dipole, field intensity on axial line is k times the field intensity on equatorial line, where k=

Answer 1

Given info : At a given distance from the centre of electric dipole, field intensity on axial line is k times the field intensity on equatorial line.

To find : the value of k is..

solution : application : if p is dipole moment of a dipole , r is the point of observation from the the midpoint of dipole then,

• electric field due to dipole on the equatorial line is given by, $\bf{E_{eq}=\frac{1}{4\pi\epsilon_0}\frac{p}{r}}$
• electric field due to dipole on the axial line is given by, $\bf{E_{a}=\frac{1}{4\pi\epsilon_0}\frac{2p}{r}}$

you above application it is clear that, electric field on axial line is 2 times electric field on equatorial line.

given, the electric field on axial line is k times the electric field on equatorial line.

on comparing , we get k = 2.

Therefore the value of k is 2.

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