# Derive an expression for electric field intensity on perpendicular bisector of dipole and "Also explain its special case."â€‹

As shown in the above figure We want to find out Electric Field Intensity due to an Electric Dipole at a Point M which is on the Equitorial line and at a distance r from the center of a dipole.

Where   is the Electric Field Intensity at  M due to  charges respectively.

So

Using

And

•  if r>>a

then       (This is the value of  when the dipole is placed in the vacuum.)

If the dipole is placed in the medium having the permittivity as

Then

Note: Here the direction of the electric field  E is opposite to the direction of    .

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