As shown in the figure below, a coil that is square, has 30 turns, is 0.82 ?, an
ID: 1400266 • Letter: A
Question
As shown in the figure below, a coil that is square, has 30 turns, is 0.82 ?, and is 14.0 cm on a side is between the poles of a large electromagnet that produces a constant, uniform magnetic field of 0.5 T directed into the page. As suggested by the figure, the field drops sharply to zero at the edges of the magnet. The coil moves to the right at a constant velocity of 3.00 cm/s. What is the current through the coil wire in the following instances?
(a) before the coil reaches the edge of the field
A
(b) while the coil is leaving the field
A
(c) after the coil leaves the field
A
(d) What is the total charge that flows past a given point in the coil as it leaves the field?
C
Explanation / Answer
given,
no.of turns N=30
resistance of coil R=0.82 ohm
side length of coil, l=14 cm
area of the coil A = l^2 = 196*10^-4 m^2
magnetic field B=0.5 T
velocity of the coil v=3 cm/sec
a)
induced curent i = emf/R
= N*dB/dt
= 0 A
b)
induced current i= emf/R
= l*V*B/R
= (14*10^-2)*(3*10^-2)*(0.5)/0.82
= 2.59*10^-3 A
= 2.59 mA
c)
induced curent i = emf/R
= N*dB/dt
= 0 A
d)
charge q=N*change in flux/R
= N*B*A/R
= 30*0.5*196*10^-4/0.82
= 0.36 C
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