A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B = 0.8 T. When released the radius of the loop starts shrinking at a constant rate of 2 cm s⁻¹. The induced emf in the loop at an instant when the radius i…

Question

A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B = 0.8 T. When released the radius of the loop starts shrinking at a constant rate of 2 cm s⁻¹. The induced emf in the loop at an instant when the radius is 10 cm will be mV.

Accepted Answer

10. ε=B 2π r|(dr)/(dt)|=0.8×2π(0.1)×0.02. ε=0.8×0.628×0.02=0.01 V =10 mV. Shrinking or growing changes only the sign, not the size.

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