A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00 cm consists of 500 turns of wire that carries a sinusoidal current I = I max sin wt, with I max = 50.0 A and a frequency f = w/2π = 60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as in Figure P31.17. Determine the emf induced in the coil as a function of time.

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N-500 N, = 20