Two short magnets of equal dipole moments M are fastened perpendicularly at their centre (figure 36-Q1). The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is

(a) μ 0 4 π M d 3
(b) μ 0 4 π 2   M d 3
(c) μ 0 4 π 2 2 M d 3
(d) μ 0 4 π 2 M d 3

Figure

(c)  μ04π22Md3


Magnetic field (B1) due to the short dipole A of dipole moment M at an axial point  is given by,
B1=μ04π2Md3  ...1
Magnetic field (B2) due to the short dipole B of dipole moment M at an axial point is given by,
B2=μ04π2Md3   ...2
Resultant magnetic field (B) will be,
B = B12+B22
B = μ04π22Md3 

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