As shown in the figure below, a coil that is square, has 30 turns, is 0.82 , and

Question

As shown in the figure below, a coil that is square, has 30 turns, is 0.82 , and is 10.0 cm on a side is between the poles of a large electromagnet that produces a constant, uniform magnetic field of 0.7 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 4.00 cm/s. What is the current through the coil wire in the following instances?

(a) before the coil reaches the edge of the field
  
(b) while the coil is leaving the field

(c) after the coil leaves the field

(d) What is the total charge that flows past a given point in the coil as it leaves the field?

Explanation / Answer

here,

no.of turns N=30

resistance of coil R=0.82 ohm

side length of coil, l=10cm or 0.1 m

area of the coil A = L^2 =10*10 = 100 cm^2 or 0.01 m^2

magnetic field B=0.6 T

velocity of the coil v = 4 cm/sec = 0.04 m/s

a)induced curent i = emf/R

i = N*dB/dt

i = 0 A (answer)
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b) induced current i= emf/R = lVB/R

i = (10*10^-2)*(4*10^-2)*(0.7/0.82

i = 3.42 mA (answer)
--------------------------------

c) induced curent i = emf/R = N*dB/dt   = 0 A (answer)

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d) charge q=N*change in flux/R

charge q = N*B*A/R

charge q = 30*0.7*100*10^-4/0.82

charge q   = 0.25 C (answer)

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