Question

Show mathematically that the electric field intensity due to a short dipole at a distance d along its axis is twice the intensity at the same distance along the equotorial axis

Answer 1

Answer:

If q be the charge on one point of the dipole and the half length is equal to d,

then the total dipole moment is given by, p = 2qd

If E

a

be the field at any axial point, then it is given by

r 3kp

Similarly, the field at any point on the right bisector is given E

r = 2r

3kp

Hence, E a

=2Er