A circular loop of wire of radius r = 1.0 m is placed in a region where an external uniform magnetic field is perpendicular to the plane of the loop. The external magnetic field vector points in, perpendicular to the page. During the course of 0.150 seconds, the field magnitude B is DECREASED uniformly (i.e., linearly in time) from 0.64 T to 0.25 T. (a) What is the direction of the induced current i in the loop, clockwise or counterclockwise. Please indicate this direction by drawing a curved arrow at the wire. What is the direction of the induced magnetic field, in or out? (b) What is the magnitude ε of the average induced electromotive force (emf)? (c) If the resistance of the wire is 2.00 ohms, then what is the magnitude of the induced current? How much heat is created in a period of 1.0 minute?

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 4OQ: A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T....
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 A circular loop of wire of radius r = 1.0 m is placed in a region where an external uniform
magnetic field is perpendicular to the plane of the loop. The external magnetic field vector points in,
perpendicular to the page. During the course of 0.150 seconds, the field magnitude B is DECREASED
uniformly (i.e., linearly in time) from 0.64 T to 0.25 T.


(a) What is the direction of the induced current i in the loop, clockwise or counterclockwise. Please indicate this direction by drawing a curved arrow at the wire. What is the direction of the induced magnetic field, in or out?


(b) What is the magnitude ε of the average induced electromotive force (emf)?


(c) If the resistance of the wire is 2.00 ohms, then what is the magnitude of the induced current? How much heat is created in a period of 1.0 minute? 

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