A long solenoid has n = 400 turns per meter. Inside the solenoid and coaxial with it, there is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire. (Hint: From Ampere's law the magnetic field of solenoid at the central part is B = µonI where n is the number of turns per unit length and 4o = 4n x 10-7 T.m/A). a) Assume that the resistance of R is decreased while the switch remains closed. Then, the current in the solenoid is increasing at a rate of 10 A/s. i. What emf is induced in the coil by the changing current? ii. At the center of the coil, what is the direction of the magnetic field produced by the induced current in the coil? b) Assume that the switch S is opened after having been closed for several minutes. Determine the direction of the induced current in coil and the direction of the magnetic field produced by the induced current. n turns/m R ood boo00o N turns R

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A long solenoid has n = 400 turns per meter. Inside the solenoid and coaxial with it, there is a coil that
has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire.
(Hint: From Ampere's law the magnetic field of solenoid at the central part is B = µonl wheren is the
number of turns per unit length and 4o = 4n x 10-7 T. m/A).
a) Assume that the resistance of R is decreased while the switch remains closed. Then, the current
in the solenoid is increasing at a rate of 10 A/s.
i.
What emf is induced in the coil by the changing current?
ii.
At the center of the coil, what is the direction of the magnetic field produced by the induced
current in the coil?
b) Assume that the switch S is opened after having been closed for several minutes. Determine the
direction of the induced current in coil and the direction of the magnetic field produced by the
induced current.
n turns/m
I
R
N turns
R
Transcribed Image Text:A long solenoid has n = 400 turns per meter. Inside the solenoid and coaxial with it, there is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire. (Hint: From Ampere's law the magnetic field of solenoid at the central part is B = µonl wheren is the number of turns per unit length and 4o = 4n x 10-7 T. m/A). a) Assume that the resistance of R is decreased while the switch remains closed. Then, the current in the solenoid is increasing at a rate of 10 A/s. i. What emf is induced in the coil by the changing current? ii. At the center of the coil, what is the direction of the magnetic field produced by the induced current in the coil? b) Assume that the switch S is opened after having been closed for several minutes. Determine the direction of the induced current in coil and the direction of the magnetic field produced by the induced current. n turns/m I R N turns R
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