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CourseNotes.44 - 11.6 Problems Problem 30.15 In gure 33 a...

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11.6 Problems Problem 30.15 In figure 33, a stiff wire bent into a semicircle of radius a = 2 , cm is rotated at constant angular speed f = 40 rev/s in a uniform 20 mT magnetic field. What are the (a) frequency and (b) amplitude of the emf induced in the loop? Figure 33: Figure for problem 30.15 The induced emf is generated by the changing magnetic flux through the circuit. In this case, the changing magnetic flux is not due to the magnetic field changing but rather the amount of area though which the field passes is changing. Since the area oscillates back and forth at the frequency f , the frequency of the emf must be the same. To find the amplitude of the emf we must do some calculations. We want to write down the flux through the loop as a function of time. Lets return to the definition of flux. Φ B = Z ~ B · d ~ A = BA 1 + Z B dA 2 cos
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