A solenoid of 400 turns and length 6 cm, and radius 2 cm is surrounded by a single coaxial loop of radius 4 cm, which has a resistance 2. The current flows in a clockwise direction, looking toward the solenoid from left. The current in the solenoid starts from zero and increases uniformly at the rate of 1 amperes per second, until it reaches a current of 10 amperes which remains steady thereafter (Use expressions for very long solenoid). a. What is the rate of change of magnetic field within the solenoid during the current change in this problem. b. What is the rate of change of magnetic flux within the solenoid during this change. c. Using Faraday’s law (or Lenz’s law), find the magnitude and direction of current generated in the outer loop.

A solenoid of 400 turns and length 6 cm, and radius 2 cm is surrounded by a single coaxial loop of radius 4 cm, which has a resistance 2. The current flows in a clockwise direction, looking toward the solenoid from left. The current in the solenoid starts from zero and increases uniformly at the rate of 1 amperes per second, until it reaches a current of 10 amperes which remains steady thereafter (Use expressions for very long solenoid). a. What is the rate of change of magnetic field within the solenoid during the current change in this problem. b. What is the rate of change of magnetic flux within the solenoid during this change. c. Using Faraday’s law (or Lenz’s law), find the magnitude and direction of current generated in the outer loop.