A solenoid consists of 1000 turns over a length of 2 meters. A 5cm radius coil with 12 loops is brought into close proximity to the solenoid such that the normal to the coil area rotates from perpendicular to parallel to the direction of the solenoid magnetic field in 3.3 seconds. if a current of 5.4mA is applies to the solenoid.
1) what is the magnetic field inside the solenoid
2)What is the magnitude and direction of the induced current if the coil resistance is .026ohms?