A 100 m long solenoid has a radius of 0.050 m and 1.5 x 10^4 turns. The current in the solenoid changes at a rate of 6.0 Amperes per second. A conductivity loop of radius .020 m is placed at the center of the solenoid with its axis as the same direction as that of the solenoid.
1. What is the magnetic flux through the small loop when the current throught the solenoid is 2.5 A?
2. Determine the mutual inductance of this combination.
3. Deterine the induced emf in the loop.
4. Determine the induced emf in the loop if the loop is oriented so that its axis is perpendicular to the axis of the solenoid, instead of parallel.
5. Determine the self-induced emf in the solenoid due to the changing environment.