Physics Induction

Question

A single-turn circular loop of wire that has a radius of 2.5 cm 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 0.2 T to 0.4 T

Determine the magnitude of the emf induced in the loop during the time interval.

Answer 1

This problem is an application of Faraday's Law of Induction. Faraday's Law states that the induced electric voltage is due to the CHANGE in the magnetic flux in the loop. In this case the loop is at rest and the magnetic field is changing. Since flux = B field strength x Area of the loop, the flux changes at a rate of area x (delta B / delta t). Don't forget to convert units to mks.