A planar coil having 15 turns carries 20 A current. The coil is oriented with respect to the uniform magnetic field $B = 0.5 \hat{i}$ T such that its directed area is $A = - 0.04 \hat{i} m^{2}$ . The potential energy of the coil in the given orientation is

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+0.72 J

$-$ 1.44 J

6 J

answer is C.

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Detailed Solution

Here, $B = 0.5 T; I = 20 A; N = 15; A = - 0.04 \hat{i} m^{2}$

Magnetic moment of the coil,

$M = N I A$

$= (15) (20) (- 0.04 \hat{i}) = - 12 \hat{i} {Am}^{2}$

The potential energy of the coil in the given orientation

$U = - M \cdot B = - (- 12 \hat{i}) \cdot (0.5 \hat{i}) = + 6 J$

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