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A conducting wire bent in the from of a ...

A conducting wire bent in the from of a parabola `y^(2)=2x` carries a current `i=2A` as shown in figure This wire is placed in a unifrom magnetic field
`oversetrarrB = - 4hatk` Tesla The magnetic force on the wire is (newton)
.

A

`-16hati`

B

`32hati`

C

`-32hati`

D

`16hati`

Text Solution

Verified by Experts

The correct Answer is:
B
`y^(2) = 2xx = 2 xx 2 implies y= +- 2`
`& oversetrarr(L) = - 4 hatj`
`oversetrarr(F) = I (oversetrarr(L) xx oversetrarr(B))`
`= 2 [-4hatj xx - 4 hatk ] = 32 (hatj xx hatk) = 32 hati` .
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