`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. `vecE_(ax)=vecE_(eq)`
B. `vecE_(ax)=-vecE_(eq)`
C. `vecE_(ax)=-2vecE_(eq)`
D. `vecE_(eq)=2vecE_(ax)`

Answer

C

Explanation

For a short dipole `(rgtgta):vecE_(ax)=-2vecE_(eq)`

`|vecE_(ax)|=((1)/(4piepsilon_(0)))(2p)/(r^(3))`
`|vecE_(eq)|=((1)/(4piepsilon_(0)))(p)/(r^(3))`