Two short magnets of equal dipole moments M are fastened perpendicularly at their centre (figure). The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is
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a
μ04πMd3
b
μ04πM2d3
c
μ04π22Md3
d
μ04π2Md3
answer is C.
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Detailed Solution
Resultant magnetic moment of the two magnets isMnet=M2+M2=2MImagine a short magnet lying along OP with magnetic moment equal to 2M. Thus point P lies on the axial Iine of the magnet.∴ Magnitude of magnetic field at P is given byB=μ04π22Md3