Answer to Question #187049 in Electricity and Magnetism for Lydia

Question

A certain coil of wire consists of 500 circular loops of radius 4cm, it is placed between poles of large electromagnet when the electromagnetic field is uniform perpendicular to the plane or coil and increasing at the rate of 0.2Telsa per second. What is the magnitude of the resulting emf?

Answer 1

Given

Number of turns are N=500

Radius is r=0.04 m

Rate of change of magnetic field is $\frac{\Delta B}{\Delta t} =0.20 T/s$

The magnitude of induced emf is

$V=N \pi r^2(\frac{\Delta B}{\Delta t}) =(500) \pi (0.04 m)^2(0.20 T/s)=0.503 V$