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A parabolic section of wire OA is locate...

A parabolic section of wire OA is located in the x-y plane and carries current `I=12 A`. A uniform magnetic field `B=4.0 T` making an angle `60^(@)` with x axis exists in x-y plane. Calculate the magnetic force on the wire OA. Coordinates of A are (0.25 m, 1 m)

A

`6(sqrt(3)-4)hat(k)N`

B

`6(4-sqrt(3))hat(k)N`

C

`3(sqrt(3)-4)hat(k)N`

D

`3(4-sqrt(3))hat(k)N`

Text Solution

Verified by Experts

The correct Answer is:
A
Magnetic fields is uniform, apply `vec(F)=Ivec(L)xxvec(B)` where
`vec(L)=0.25hat(i)+hat(j) and hat(B)=4(cos 60 hat(i)+sin 60hat(j))`
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