5. A circular loop is constructed from a flexible, conducting wire of resistance R. The wire is being cooled such that it's radius is shrinking at a rate r(t) = ro where ro is the initial, uncooled radius, T is a constant, and t is the time. The loop is perpendicular to a uniform, constant magnetic ficld B (pointing up through the loop, i.e., out of the page). (a) Find an cxpression for the induced voltage in the loop as a function of time. (b) What is the induced current in the loop? (c) In what direction (clockwise or counterclockwise) is the induced current?

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
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
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5. A circular loop is constructed from a flexible, conducting wire of resistance R. The
wire is being cooled such that it's radius is shrinking at a rate
r(t) = ro
-
where ro is the initial, uncooled radius, T is a constant, and t is the time. The loop is
perpendicular to a uniform, constant magnetic field B (pointing up through the loop,
i.c., out of the page).
(a) Find an cxpression for the induced voltage in the loop as a function of time.
(b) What is the induced current in the loop?
(c) In what direction (clockwise or counterclockwise) is the induced current?
Transcribed Image Text:5. A circular loop is constructed from a flexible, conducting wire of resistance R. The wire is being cooled such that it's radius is shrinking at a rate r(t) = ro - where ro is the initial, uncooled radius, T is a constant, and t is the time. The loop is perpendicular to a uniform, constant magnetic field B (pointing up through the loop, i.c., out of the page). (a) Find an cxpression for the induced voltage in the loop as a function of time. (b) What is the induced current in the loop? (c) In what direction (clockwise or counterclockwise) is the induced current?
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