The figure shows a rectangular, 27-turn coil of wire, of dimensions 12 cm by 6.1

Question

The figure shows a rectangular, 27-turn coil of wire, of dimensions 12 cm by 6.1 cm. It carries a current of 0.10 A and is hinged along one long side. It is mounted in the xy plane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.65 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

I got -1.11x10^-2 Nm for B and got it correct, but for A, I got -1.97x10^-2 Nm and for C, I got -1.11x10^-2 Nm. I dont know what I am doing wrong

Explanation / Answer

Torque = (N * I * A ) X (B)

             = - (27 * 0.10 * 0.12 * 0.061) k X (0.5629 i + 0.325 k)

            =   (0 i - 0.011089 j + 0 k)      N.m

a) x component of the torque    = 0 N.m

b) y component of the torque    =   - 0.011089 N.m

c) z component of the torque    = 0 N.m

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