Asingle-turn circular loop of wire that has a radius of 5.0cm lies in the plane perpendicular to a spatially uniform magnetic field. during a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2t to 0.4t. determine the magnitude of the emf induced in the loop during the time interval.

Induced emf will be 0.01308 volt

Explanation:

We have given the radius of the circle r = 5 cm = 0.05 m

We know that area of the circle is given by

The magnetic field is changes from 0.2 T to 0.4 T

So change in magnetic field dB = 0.4 - 0.2 = 0.2 T

Time is given as dT = 0.12 sec

We know that induced emf is given by