As shown in the figure Above, a coil that is square, has 30 turns, is 0.1 ?, and

Question

As shown in the figure Above, a coil that is square, has 30 turns, is 0.1 ?, and is 24.0 cm on a side is between the poles of a large electromagnet that produces a constant, uniform magnetic field of 0.6 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 10.00 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

let,

no of turns N=30

magnetic field B=0.6T

resistance R=0.1 ohms

side length of the square l=24cm

speed of the coil, v=10cm/sec

a)

currnt i=emf/R

here,

emf is zero before the coil reachesthe edge of the field

hence,current i=0

b)

currnt i=emf/R

i=N*l*v*B/R

=30*(24*10^-2)*(10*10^-2)*0.6/(0.1)

=4.32 A

c)

here,

emf is zero after the coil leaves the field

current i=emf/R

current i=0

d)

charge q=N*change in flux/R

=N*(B.A)/R

=30*0.6*(24*10^-2)^2/(0.1)

=10.368 C

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