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Two identical magnetic dipoles of magnet...

Two identical magnetic dipoles of magnetic moments 1.0 `A-m^(2)` each, are placed at a separation of 2 m with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

A

`5xx10^(-7)T`

B

`sqrt5xx10^(-7)T`

C

`10^(-7)T`

D

`2xx10^(-7)T`

Text Solution

Verified by Experts

The correct Answer is:
B
`B_(1)=(2mu_(0))/(4pi)(M)/(r^(3))`(As the dipole is short)
`=(10^(-7)xx1xx2)/(1)^(3)=2xx10^(-7)T`
`B_(2)=mu_(0)/(4pi)(M)/(r^(3))=10^(-7)T rArr B_(net)=sqrt5xx10^(-7)T`
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Knowledge Check

  • Two identical magnetic dipoles of magnetic moments 1*0Am^2 each are placed at a separation of 2m with their axes perpendicular to each other. What is the resultant magnetic field at a point midway between the dipoles?

    A
    `sqrt(5) xx 10^(-7)T`
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    B
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