#2 A toroid having a rectangular cross section ( a = 2.00 cm by b = 3.00 cm) and
ID: 1294294 • Letter: #
Question
#2 A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.40 cm consists of 500 turns of wire that carries a sinusoidal current I = Imax sin ?t, with Imax = 53.5 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 Figure P31.17. Determine the emf induced in the coil as a function of time.
a) power delievered to coil, P=
b)the force required to move the coil from the field, Fapp=
#1. A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.10 cm and 1.00 a) power delievered to coil, P= b)the force required to move the coil from the field, Fapp= l,v, and R, find symbolic expressions for the following. l and resistance R is pulled to the right at constant speed v in the presence of a uniform magnetic field B acting perpendicular to the coil as shown in the figure below. At t = 0, the right side of the coil has just departed the right edge of the field. At time t, the left side of the coil enters the region where B = 0. In terms of the quantities N, B #3 An N-turn square coil with side #2 A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.40 cm consists of 500 turns of wire that carries a sinusoidal current I = Imax sin ?t, with Imax = 53.5 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 Figure P31.17. Determine the emf induced in the coil as a function of time. 10^3 turns/meter (see figure below). The current in the solenoid changes as I = 5.00 sin 120 t, where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time.Explanation / Answer
The mutual inductance of the pair
is given without proof by M = uo*A*n*N
where A is the cross sectional area
of the solenoid.
uo = 4?10^-7
A = ?r^2
N=15
n=10^3 turns/meter
The Emf induced in the coil when the
current is changing in the solenoid
as given is:
E = -M di(t)/dt
E = -M d[4*sin(112*t)]/dt
E = -M*448*cos(112*t)
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