GATE EC 1999 Electromagnetics Solution Q 1

GATE EC 1999 Electromagnetics Solution Q 1

An electric field on a plane is described by its potential V=20\left(r^{-1}+r^{-2}\right) where r is the distance from the source. The field is due to

a) a monopole

b) a dipole

c) both a monopole and a dipole

d) a quadrupole

Ans- c)

Explanation

V=\frac Q{4\pi\in_0r}\left(monopole\right) V=\frac{Qd\;\cos\;\theta}{4\pi\in_0r^2}\left(dipole\right)

As given expression consists of both (1/r) and (1/r2) we can say both fields are present.

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