Electrostatics Question 232

Question: Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p . If P is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle θ with the axis of the dipole, then the potential at P is given by (r»2a) (Wherep=2qa ) [MP PET 1997]

Options:

A) V=pcosθ4πε0r2

B) V=pcosθ4πε0r

C) V=psinθ4πε0r

D) V=pcosθ2πε0r2

Show Answer

Answer:

Correct Answer: A

Solution:

For the given situation, diagram can be drawn as follows component of dipole moment along the line OP will be p=pcosθ .

Hence electric potential at point P will be V=14πε0.pcosθr2



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