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