(1)The current in a 20.0-mH inductor changes with time as i = 3.0t° – 6.0t , where i is in amperes and t is in seconds. Find the magnitude of the induced emf at (a) t =2.00 s , (b) At what time is the emf zero? (2) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I=a+bt, where a and b are constants. Determine the emf that is induced in the loop if b =12.0 A/s, h=2.00 cm, w= 6.0 cm, and L =0.50 m. (c) What is the direction of the induced current in the rectangle? L

(1)The current in a 20.0-mH inductor changes with time as i = 3.0t° – 6.0t , where i is in amperes and t is in seconds. Find the magnitude of the induced emf at (a) t =2.00 s , (b) At what time is the emf zero? (2) A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I=a+bt, where a and b are constants. Determine the emf that is induced in the loop if b =12.0 A/s, h=2.00 cm, w= 6.0 cm, and L =0.50 m. (c) What is the direction of the induced current in the rectangle? L

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 47P

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