A toroid having a rectangular cross section
(a = 2.00 cm
by
b = 3.00 cm)
and inner radius
R = 3.75 cm
consists of 500 turns of wire that carries a sinusoidal current
I = Imax sin(????t),
with
Imax = 46.0 A
and a frequency
f = ????/2???? = 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 a function of time.