1. A square coil (edge length 5 cm) is comprised of 40 loops of copper wire. The

Question

1. A square coil (edge length 5 cm) is comprised of 40 loops of copper wire. The square loop is held in the plane of the page. A uniform magnetic field is initially 2.0 T out of the page. Over a time period of 1.5 s, the magnetic field linearly changes from this initial value to a final value of 4.0 T into the page. a. What is the magnitude of the induced emf in the loop? b. What is the direction (clockwise or counterclockwise) of the current flowing in the loop? A picture may help you in describing your answer. 2. The figure shows a circular loop consisting of 100 turns with radius 4.0 cm. This circular loop goes around a solenoid with radius 2.0 cm and the solenoid consists of 10^4 turns per meter (that is N/L = 10^4m^-1 ). The current in the solenoid changes with time according to Isol = (12 A)e^-t/(2.0 s). The current in the solenoid is shown with a cross-sectional slice of the solenoid. This indicates that at the top of the solenoid, the current flows out of the page, while at the bottom of the solenoid, the current flows into the page. a. If the resistance of the circular loop is 4 Ohm, what is the magnitude of the current flowing in the loop at time t = 0 s? (Hint: while there is a magnetic field inside the solenoid, there is zero magnetic field outside the solenoid.) b. Describe the direction of the induced current at time t = 0 s.

Explanation / Answer

use faradays law

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