Acertain elastic conducting material is stretched into a circular loop of 1.6 cm radius. it is placed with its plane perpendicular to a uniform 0.8 t magnetic field. when released, the radius of the loop starts to shrink at an instantaneous rate of 75.0cm/s. what emf is induced in the loop at that instant in units of v?

Induced emf in the loop is 0.0603 volts.

Explanation:

It is given that,

Radius of the circular loop, r = 1.6 cm = 0.016 m

Magnetic field, B = 0.8 T

When released, the radius of the loop starts to shrink at an instantaneous rate of 75.0 cm/s,

We need to find the magnitude of induced emf at that instant. Induced emf is given by :

Where

is the magnetic flux,

, A is the area of cross section

So, the induced emf in the loop is 0.0603 volts. Hence, this is the required solution.