A bar slides on two frictionless rails in the plane of the page. The resistor is 6.00 Ω, and a 2.50 T magnetic field is directed out of the page, perpendicular to the bar and the rails over the entire region through which the bar moves. Let the length of the bar be ? = 1.20 m. If the bar moves to the right at a constant speed of 2.00 m/s, i) How big is the magnetic flux ΦB at the instant the bar is 1.00 m to the right of the resistor? ii) What is the magnitude of the current ? induced due to Faraday’s law? iii) What is the applied force ???? required for the bar to move at a constant speed?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter32: Faraday’s Law Of Induction
Section: Chapter Questions
Problem 71PQ: Two frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor,...
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A bar slides on two frictionless rails in the plane of
the page. The resistor is 6.00 Ω, and a 2.50 T magnetic field is
directed out of the page, perpendicular to the bar and the rails
over the entire region through which the bar moves. Let the
length of the bar be ? = 1.20 m. If the bar moves to the right at a
constant speed of 2.00 m/s,
i) How big is the magnetic flux ΦB at the instant the bar is
1.00 m to the right of the resistor?
ii) What is the magnitude of the current ? induced due to Faraday’s law?
iii) What is the applied force ???? required for the bar to move at a constant speed?
iv) What is the direction of the induced current according to Lenz’s law? Why ?

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