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Question

Two short bar magnets of magnetic moments M each are arranged at the opposite corners of a square of side d such that their centres coincide with the corners and their axes are parallel to one side of the square. If the like poles are in the same direction, the magnetic induction at any of the other corners of the square is.


A
μoM4πd3
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B
μo2M4πd3
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C
μoM2πd3
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D
μo2M2πd3
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Solution

The correct option is A μoM4πd3
Magntic field due to a dipole along axial and equatorial planes are
B0=2μ04πMr3
B90=μ04πMr3



Magntic field at point due to 1 is B1 and due to 2 is B2

Applying the formulas,
B1=μ04πMr3 and
B2=2μ04πMr3

Net magnetic field at point =B2B1
=μ04πMd3



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