A conducting circular loop having a radius of 5.0 cm, is placed perpendicular to a magnetic field of 0.50 T. It is removed from the field in 0.50 s. Find the average emf produced in the loop during this time.

Given:


Radius if circular loop=5.0cm


Magnetic field intensity=0.50T


Area of circular loop


Initial magnetic flux through the loop is given by



(As loop is placed perpendicular to magnetic field)


After loop is removed from the field after time Δt=0.50s the magnetic flux



(As no magnetic field passes through the loop)


We know that,


Average induced emf in time interval Δt is given by



Where


are flux across the cross section at time intervals respectively.


Putting the values of we get




Therefore, average induced emf produced in the loop during this time interval is Volts.


1