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 E→A and E→B Then

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a

E→A=E→B

b

E→A=2E→B

c

E→A=−2E→B

d

E→B=12E→A , and E→A is perpendicular to E→B

answer is C.

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Detailed Solution

Electric field due to dipole at axial position isEaxial =14πε02pr3 (along the dipole moment) Electric field due to dipole at equatorial positionEeq=14πε0pr3 (opposite to dipole moment)  Hence E→A=−2E→B
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