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A planar coil having 12 turns carries 15...

A planar coil having 12 turns carries 15 A current. The coil is oriented with respect to the uniform magnetic field `vec B =0.2 hat i` T such that its directed area is `vec A= -0.04 hat i` m. The potential energy of the coil in the given orientation

A

0

B

`+0.72J`

C

`+1.44J`

D

`-1.44J`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `vec B = 0.2 hat i T , l =15 A , N = 12 `
`vec A =-0.04 hat i m^2`
Magnetic moment of the coil `bar M = NI bar A`
`= (12) (15A) (-0.04 hat i m^2) = -7.2 hat i A m^2`
The potential energy of the coil in the given orientaion is
`U= - vec M . vec B = -(- 7.2 hat i A m^2).(0.2 hat iT ) = + 1.44 J`
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