Question

A coil of 150 turns of wire is in the form of a circle of radius 7.5 cm, and sits in the center of a dipole magnet that produces a uniform magnetic field of strength 1.5 T. The torque on the coil has a maximum value of 0.25 Nm. What is the current in the coils

Answer 1

Answer:

Current in the loop is 0.063 A        

Explanation:

Number of turns in the coil N = 150

Radius of the circular loop r = 7.5 cm = 0.075 m

So area $A=\pi r^2=3.14\times 0.075^2=0.0176m^2$

Magnetic field B = 1.5 T

Maximum torque is given $\tau =0.25Nm$

We have to find current in the coil

Torque on circular coil in magnetic field is equal to

$\tau =BINA$

$0.25=1.5\times I\times 150\times 0.0176$

I = 0.063 A