Question

A rectangular loop consists of 80 turns, each carrying a current 8

a. the uniform magnetic field of 40 mtis directed to the right along x-axis. the loop can turn about y-axis. ifθ=30°, a = 0.4 m, b = 0.3 m, andi = 8a, what is the magnitude of the torque exerted on the loop?

Answer 1

Magnetic moment of loop is given by the formula

`M = NiA`

`M = 80*8 *0.4*0.3`

`M = 76.8`

now magnetic field is given here

`B = 40 * 10^(-3) T`

Now the torque on the loop is given by

`T = MBsin\theta`

`T = 76.8* 40*10^(-3)*sin30`

`T = 1.536 Nm`

so above is the torque on the loop.