a. A large solenoid with a length of 6.7 m and 31000 turns ofwire carries an initial current of 4.9 A. The solenoid is alignedso that the magnetic field is produces points to the East. A smallcoil of wire with a radius of 0.056 m and 2 turns of wire is placedinside this solenoid so that the normal to the plane of the coil isaligned with the axis of the solenoid. The current in the solenoidis then reduced to 0.57 A over a period of 2.4 s. What is theinitial 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 thesolenoid?
d. What is the final magnetic flux through the coil?
e. If the coil of wire has a resistance of 31 Ω, what is theinduced current in the coil? What is the magnitude of the averageelectromotive force (EMF) induced in the coil while the magneticflux is changing?
f. If you are looking at the solenoid and coil from the East (soyou are facing West) then the direction of the current in thesolenoid must be _____ and the induced current in the coil will be________