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1. A long solenoid with 500 turns of wire, length L=80cm and diameter d=2.5cm. The center...

1. A long solenoid with 500 turns of wire, length L=80cm and diameter d=2.5cm. The center of the solenoid is surrounded by a circular loop of wire with a diameter dloop=5.0cm and a resistance R=0.50ohm. The axis of the solenoid is also the axis for the loop.

a. What is the magnetic field inside the solenoid when a current of 2.0A passes through the solenoid? [note: the magnetic field inside the solenoid is uniform and there is no magnetic field outside the solenoid.]

b. When the current passing through the solenoid is I=2.0A, What is the magnetic flux through the loop

c. The solenoid is connected to an ac power supply, and the current passing through it is i=Icos(wt) where I=2.0A and w=630rad/s. What is the induced current in the loop (as a function of time)?

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