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 0.25 m2. It is stretched to have no area in 0.1s. What is the direction and magnitude of the induced emf if the uniform magnetic field has a strength of 1.5T?

Answer 1

Answer:

EMF = 187.5 volts

Explanation:

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

so we can say

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

$EMF = \frac{\phi_i - \phi_f}{\Delta t}$

now we will have

$EMF = \frac{NBA - 0}{\Delta t}$

$EMF = \frac{50(1.5)(0.25)}{0.10}$

$EMF = 187.5 Volts$

So the induced EMF in the coil will be 187.5 Volts