`vec(E )_(ax)`and `vec(E ) _(eq)` represent electric field at a point on the axial and equatorial line of a dipole . If points are at a distance r form the centre of the dipole , for r> > a

Options

A. `vec(E )_(ax)= vec(E ) _(eq)`
B. `vec(E )_(ax)= -vec(E ) _(eq)`
C. `vec(E )_(ax)= -2vec(E ) _(eq)`
D. `vec(E )_(ax)= 2vec(E ) _(eq)`

Answer

c

Explanation

`vecE_(ax)=frac(1)(4pivarepsilon_(0))frac(2vecP)(r^(3)),vecE_(eq)=-frac(1)(4pivarepsilon_(0))frac(vecP)(r^(3))=-frac(vecE_(ax))(2)`
`thereforevecE_(ax)=-2vecE_(eq)`