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A toroid having a rectangular cross section (a =2.00 cm by b=3.00 cm)

A toroid having a rectangular cross section (a =2.00 cm by b=3.00 cm) and inner radius R=3.65 cm consists of 500 turns of wire that carries a sinusoidal current l=Imax sin wt, with Imax=49.0 A and a frequency f= w/ 2 π=60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as s function of time.

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