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Two identical short bar magnets, each ha...

Two identical short bar magnets, each having magnetic moment of `10Am^(2)`, are arranged such that their axial lines are perpendicular to each other and their centres be along the same straigh line in a horizonetal plane. If the distance between their centres is `0.2m`, the resultant magnetic induction at a point midway between them is
`(mu_(0)=4pixx10^(-7)Hm^(-1))`

A

`sqrt(2)xx10^(-7)`Tesla

B

`sqrt(5)xx10^(-7)`Tesla

C

`sqrt(2)xx10^(-3)`Tesla

D

`sqrt(5)xx10^(-3)`Tesla

Text Solution

Verified by Experts

The correct Answer is:
4
From figure `B_(met)=sqrt(B_(a)^(2)+B_(e)^(2)=sqrt((mu_(0)/4pi . 2M/d^(3))^(2)+ (mu_(0)/4pi . M/d^(3))^(2)`
`=sqrt(5).mu_(0)/4pi .M/d^(3)=sqrt(5)xx10^(-7)xx10/(0.1)^(3)=sqrt(5)xx10^(-3)`Tesla
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