A square-shaped copper coil has edges of length 50 cm and comprises 50 turns. It is positioned perpendicular to a 1.0 T magnetic field. The coil is removed from the magnetic field in 0.25 s and then restored to its original place over the subsequent 0.25 s . Determine the magnitude of the average emf induced in the loop during its restoration.

Step-by-step solution

Initial magnetic flux when the coil is outside the magnetic field, _ i = 0 Final magnetic flux when the coil is restored to its original position, _ f = NBA Here, N = 50 , B = 1.0 T , and A = (0.5 m )^2 = 0.25 m ^2 _ f = 50 1.0 0.25 = 12.5 Wb The magnitude of the average induced emf is given by Faraday's law of induction: |e| = | | t = | _ f - _ i | t Substituting the values: |e| = 12.5 - 0 0.25 = 50 V