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Q.

A small electric dipole is of dipole moment p.  The electric potential at a distance ‘r’  from its centre and making an angle θ from the axis of dipole will be:

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a

kpsinθr2

b

kpcosθr2

c

kpr31+3sin2θ

d

kpr31+3cos2θ

answer is B.

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Detailed Solution

Question Image

Potential at D VD=kqBD−kqAD

BD=r−acosθ,AD=r+acosθ

VD=kqr−acosθ−kqr+acosθ

 use (r>>acosθ,&P=q⋅2a)

⇒VD=kq(2acosθ)r2=kpcosθr2

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