Q.

  A and B are two points on the axis and the perpendicular bisector, respectively, of an electric dipole. A and B are far away from the dipole and at equal distances from it. The fields at A and B are  EA   and  EB.  Then

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a

EA=2EB

b

|EB|=12|EA|,   and  EA is perpendicular to EB

c

EA=EB

d

EA=2EB

answer is C.

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Detailed Solution

Electric field due to dipole at axial position is

Eaxial=14πε02pr3(along  the  dipole  moment)

Electric field due to dipole at equatorial position

Eeq=14πε0pr3(opposite  dipole  moment)

Hence EA=2EB

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  A and B are two points on the axis and the perpendicular bisector, respectively, of an electric dipole. A and B are far away from the dipole and at equal distances from it. The fields at A and B are  E→A   and  E→B.  Then