Question

The figure shows a rectangular, 22-turn coil of wire, of dimensions 9.3 cm by 3.9 cm. It carries a current of 0.14 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 0.69 T. Find the (a) x, (b) y, and (c) z components of the torque acting on the coil about the hinge line.

Answer 1

Since Torque acting on coil is given by,

Given,

(Since Area vector of coil is z-direction.)

So,

here,

from right hand rule,    

given, N = number of turn = 22

i = current = 0.14 A

A = area = 9.3*3.9 cm^2 = 36.27 cm^2 = 36.27*10^-4 m^2

B = magnetic field = 0.69 T

= 30 deg

So,

So,

a.) x-component of torque = = 0 N*m

b.) y-component of torque = = -0.0066754 N*m

c.) z-component of torque = = 0 N*m

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