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A uniform magnetic field vec(B) = 3 hat ...

A uniform magnetic field `vec(B) = 3 hat i + 4 hat j + hat k` exists in region of space. A semicircular wire of radius of 1 m carrying current 1 A having its centre at (2, 2, 0) is placed in x-y plane as shown in Fig. The force on semicircular wire will be

A

`sqrt2(hati+hatj+hatk)`

B

`sqrt2(hati-hatj+hatk)`

C

`sqrt2(hati+hatj-hatk)`

D

`sqrt2(-hati+hatj+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecB=3hati+4hatj+hatk`
`vecI=2/sqrt2(hati+hatj)`
`vecF=I(vecIxxvecB)`
`=sqrt2[(hati+hatj)xx(3hati+4hatj+hatk)]=sqrt2(hati-hatj+hatk)`
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RESONANCE-ELECTRODYNAMICS-Exercise-1 PART-2
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