-An elastic conducting material is stretched into a circular loop of 17.6 cm rad

Question

-An elastic conducting material is stretched into a circular loop of 17.6 cm radius. It is placed with its plane perpendicular to a uniform 0.605 T magnetic field. When released, the radius of the loop starts to shrink at an instantaneous rate of 103 cm/s. What emf is induced in volts in the loop at that instant?

V An elastic conducting material is stretched into a circular loop of 17.6 cm radius. It is placed with its plane perpendicular to a uniform 0.605 T magnetic field. When released, the radius of the loop starts to shrink at an instantaneous rate of 103 cm/s. What emf is induced in volts in the loop at that instant?

Explanation / Answer

The generated EMF is given by E = ?d?B/dt, where ?B is the total
magnetic field flux. Since the field is constant and the area is changing, we find that
E = ?d?B/dt = 2B?rdr/dt, where r is the radius of the loop. Substituting the
appropriate quantities yields E = 0.452V

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