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)
.

Options

A. `-16hati`
B. `32hati`
C. `-32hati`
D. `16hati`

Answer

B

Explanation

`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`