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A conducting loop carrying current 'l' i...


A conducting loop carrying current 'l' is bent into two halves and placed in mutually perpendicular planes xy and yz planes as shown. A uniform magnetic field `vecB=Bhatj` is existing in the region. The net magnetic torque experienced by the loop is

A

`BIl^(2)(hatk-hati)`

B

`BIl^(2)(hati+hatj)`

C

`BIl^(2)(hatj+hatk)`

D

`BIl^(2)(hati+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A
The net magnetic moment of the loop is
`vecM=l l^(2)(hati+hatk)`
The net magnetic torque experienced by the loop is
`vectau=vecMxxvecB`
`=l l^(2)(hati+hatk)xxBhatj`
`vectau=Bl l^(2)(hatk-hati)`
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