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  4. Two short bar magnets of length 1 cm each have magnetic moments 1.20 Am2 and 1.00 Am2 respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the south. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid-point O of the line joining their centres is close to (Horizontal component of the earth's magnetic induction is 3.6 × 10-5 W b/m2

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Q. Two short bar magnets of length $1\, cm$ each have magnetic moments $1.20 \,Am^2 $ and $1.00 \,Am^2 $ respectively. They are placed on a horizontal table parallel to each other with their $N$ poles pointing towards the south. They have a common magnetic equator and are separated by a distance of $20.0\, cm$. The value of the resultant horizontal magnetic induction at the mid-point $O$ of the line joining their centres is close to (Horizontal component of the earth's magnetic induction is $ 3.6 \times {10}^{-5} W b/m^2$

JEE MainJEE Main 2013Magnetism and Matter

Solution:

$B_{net} =B_1 +B_2 +B_H$
$B_{net} = \frac{ {\mu}_0}{4 \pi } \frac{(M_1+M_2)}{r^3} +B_H$
$ \, \, \, \, \, = \frac{ {10}^{-7} (1.2+1)}{(0.1)^3}+ 3.6 \times {10}^{-5}$
$ \, \, \, \, \, \, \, \, \, \, \, \, =2.56 \times {10}^{-4} Wb/m^2$

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