A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 3.80 cm consists of 500 tu

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A toroid having a rectangular cross section
(a = 2.00 cm
by
b = 3.00 cm)
and inner radius
R = 3.80 cm
consists of 500 turns of wire that carries a sinusoidal
current
I = Imax
sin(𝜔t),
with
Imax = 48.0 A
and a frequency
f = 𝜔/2𝜋 = 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.
V
cos(𝜔t)