Q.

Two identical bar magnets of magnetic moment M each, are placed along X and Y- axes, respectively  at a distance d from the origin (as shown in the figure). The origin lies on perpendicular bisector of magnet placed on X – axis and on the magnetic axis of magnet placed on Y – asix. If the magnigtude of total magnetic field at the orgin is B=αμ04πMd3  then the value of constant   will be (d > > l, where l is the length of the bas magnets and direction of N to S in magnets is opposite with respect to each other)
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a

2

b

1

c

5

d

3

answer is C.

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Detailed Solution

Magnetic field due to axial magnet,
B1=μo4π2Md3  (+ Y direction)
Magnetic field due to the equatorial magnet,
 B2=μo4π2Md3    (+ Y direction)
So, effective magnetic field
B=B1+B2=3μoM4πdα=3  
 

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