Summarize the problem indicating the question to be answered, list the equations

Question

Summarize the problem indicating the question to be answered, list the equations used, show all math, and indicate your answer. A flat circular coil with a radius of 25.0 cm is in a uniform 1.25-T magnetic field with the plane of the coil parallel to the field. The coil is then rotated so that the plane of the coil makes an angle of 20 degree with the direction of the B-field. It takes 0.34 s to turn this coil 20 degree. What is the magnitude of the average emf induced in the coil by this motion? epsilon_avg = -delta phi_B/delta t

Explanation / Answer

magnetic flux phi = B*A*costheta

induced emf = - rate of change in flux

induced emf = -B*A*(costheta2-costheta1)/dt

theta1 = 90

theta2 = 20

induced emf = -1.25*pi*0.25^2*(cos20-cos90)/0.34 = -0.678 V

magnitude = 0.678 V    <<<<<==========ANSWER

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