The figure shows a rectangular, 18-turn coil of wire, of dimensions 14 cm by 7.1

Question

The figure shows a rectangular, 18-turn coil of wire, of dimensions 14 cm by 7.1 cm. It carries a current of 0.10 A and is hinged along one long side. It is mounted in the xyplane, at an angle of 30

The figure shows a rectangular, 18-turn coil of wire, of dimensions 14 cm by 7.1 cm. It carries a current of 0.10 A and is hinged along one long side. It is mounted in the xyplane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.47 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

Explanation / Answer

Here ,

magnetic moment , u = NIA k

u = 18*0.14 * 0.071 * 0.10 k

u = 0.0179 k A.m^2

Now , B = 0.47 *(cos(30) i + k*sin(30))

Now , torque = u X B

Torque = ( 0.0179 k) X (0.47 *(cos(30) i + k*sin(30)))

Torque = 0.00728 j

Now , Tx = 0 N.m

Ty = 0.00728 N.m

Tz = 0 N.m

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