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A conducting wire, bent in the from o...

A conducting wire, bent in the from of a parabour `y^(2)= 2x` carries a current `i=2 A` as shown in figure . This wire is palned in a unfirm magnetic field `B= - 4hatk` tesla . The magetic force on the wire of the wire is a newton )

A

`-16hati`

B

`32hati`

C

`-32hati`

D

`16hati`

Text Solution

Verified by Experts

The correct Answer is:
B
`y^(2)=2x`
`vecB=-4hatk,i=2A`
Co ordinate of A and B
`y^(2)=2(2)impliesy=+-2`
Length of AB=4
`vecF=(2)r(-hatj)xx4(-hatk)=32h`
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