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Question: A point \(Q\) lies on the perpendicular bisector of an electrical dipole of dipole moment\(p\). If t...

A point QQ lies on the perpendicular bisector of an electrical dipole of dipole momentpp. If the distance of QQ from the dipole is rr (much larger than the size of the dipole), then electric field at QQ is proportional to

A

p−1p^{- 1}andr−2r^{- 2}

B

pp and r−2r^{- 2}

C

p−1p^{- 1}andr−2r^{- 2}

D

pp and r−3r^{- 3}

Answer

pp and r−3r^{- 3}

Explanation

Solution

Eequatorial=kpr3E_{equatorial} = \frac{kp}{r^{3}} i.e. E∝pE \propto p and E∝r−3E \propto r^{- 3}