Question

A magnetic B field of strength 0.4 T is perpendicular to a loop with an area of 1 m2. If the area of the loop is reduced to zero in 0.7 s, then what is the magnitude of the induced emf voltage?

Answer 1

Answer:

The magnitude of the induced e.m.f is 571 mV

Explanation:

Given;

magnetic field strength, B = 0.4T

area of the loop, A = 1m²

time = 0.7s

Since the angle of inclination of the magnetic field, then the direction of the induced e.m.f, θ = 0

According to faraday's law; the induced emf is directly proportional to the rate of change of flux.

Thus, magnitude of the induced e.m.f is given as

$E.M.F = \frac{\delta \phi}{\delta t} \\\\\phi = BAcos \theta = BAcos0 = BA\\\\E.M.F = \frac{0.4 X1}{0.7} = 0.571 V$