Interactive LearningWare 22.2 provides a review of the concepts that are importa

Question

Interactive LearningWare 22.2 provides a review of the concepts that are important in this problem. A constant magnetic field passes through a single rectangular loop whose dimensions are 0.35 m 0.55 m. The magnetic field has a magnitude of 2.1 T and is inclined at an angle of 55° with respect to the normal to the plane of the loop. (a) If the magnetic field decreases to zero in a time of 0.43 s, what is the magnitude of the average emf induced in the loop? V (b) If the magnetic field remains constant at its initial value of 2.1 T, what is the magnitude of the rate A / t at which the area should change so that the average emf has the same magnitude as in part (a)? m2/s

Explanation / Answer

a) average emf is e = (d/dt)(phi_B) = (B*A*cos(theta))/0.43 = (2.1*0.35*0.55*cos(55))/0.43 = 0.54 V

b) e = B*cos(theta)*dA/dt

dA/dt = e/(B*cos(theta)) = 0.54/(2.1*cos(55) = 0.448 m^2/s

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