Question

Suppose a 50 turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.325 m^2. It is squished to have no area in 0.225 s. What is the magnitude of the average induced emf in volts if the uniform magnetic field has a strength of 1.5 T?

Answer 1

Answer:

EMF = 108.3 Volts

Explanation:

As per Faraday's law of electromagnetic induction we know that rate of change in magnetic flux will induce EMF in closed loop

So it is given as

$EMF = N\frac{d\phi}{dt}$

$EMF = N\frac{BA - 0}{\Delta t}$

now we know that

N = 50 turns

B = 1.5 T

A = 0.325 m^2

$\Delta t = 0.225 s$

now we have

$EMF = (50)(\frac{1.5\times 0.325}{0.225})$

$EMF = 108.3 Volts$