In: Physics
a. A large solenoid with a length of 6.7 m and 31000 turns of wire carries an initial current of 4.9 A. The solenoid is aligned so that the magnetic field is produces points to the East. A small coil of wire with a radius of 0.056 m and 2 turns of wire is placed inside this solenoid so that the normal to the plane of the coil is aligned with the axis of the solenoid. The current in the solenoid is then reduced to 0.57 A over a period of 2.4 s. What is the initial magnitude of the magnetic field inside the solenoid?
b. What is the initial magnetic flux through the coil?
c. What is the final magnitude of the magnetic field inside the solenoid?
d. What is the final magnetic flux through the coil?
e. If the coil of wire has a resistance of 31 Ω, what is the induced current in the coil? What is the magnitude of the average electromotive force (EMF) induced in the coil while the magnetic flux is changing?
f. If you are looking at the solenoid and coil from the East (so
you are facing West) then the direction of the current in the
solenoid must be _____ and the induced current in the coil will be
________
The answer is in the image. Page number is mentioned at right top. As asked in comment, I have edited and give the full answer.