Question

A uniform 0.90 T magnetic field is directed an an angle of 30 degrees to the face of a circular loop of wire. The magnetic field is reduced to zero in a time of 45 ms. The loop of wire has a resistance of 0.5 ohms and a radius of 3.6 cm. Determine the average induced current in the loop of wire.

a. 81 mA

b. 0.13 A

c. 0.76 A

d. 1.4 A

e. 2.5 A

Answer 1

The average induced emf through the loop is given by,

Here, is flux through the circular loop and is given by,

is the angle between the normal to the loop and the magnetic field.

Thus, flux is,

Thus induced emf would be,

now average induced current would be,