A uniform externally applied magnetic field is in the +z direction (B = Bk, with B positive) and B is increasing with time. A loop of wire in the x-y plane is in this field (the magnetic field is perpendicular to this loop); it has a total resistance R independent of the radius r of the loop. Which of the following statements is true? The magnitude of the current is proportional to the radius of the loop: I=αr, α a constant. The current at any time is proportional to the magnitude of the magnetic field at that time. The current induced in the wire will produce a magnetic field in the –z direction. None of a-c More than one of a-c

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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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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  1. A uniform externally applied magnetic field is in the +z direction (B = Bk, with B positive) and B is increasing with time. A loop of wire in the x-y plane is in this field (the magnetic field is perpendicular to this loop); it has a total resistance R independent of the radius r of the loop. Which of the following statements is true?
    1. The magnitude of the current is proportional to the radius of the loop: I=αr, α a constant. 
    2. The current at any time is proportional to the magnitude of the magnetic field at that time. 
    3. The current induced in the wire will produce a magnetic field in the –z direction.
    4. None of a-c
    5. More than one of a-c
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