Question

A single-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.

Answer 1

Answer:

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 $A=\pi r^2=3.14\times 0.05^2=78.5\times 10^{-4}m^2$

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

$e=A\frac{dB}{dT}=78.5\times 10^{-4}\times \frac{0.2}{0.12}=0.01308Volt$