A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.2 m/s perpendicular to a 0.57-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and has a length of 1.9 m. A 0.74-Ω resistor is attached between the tops of the tracks. (a) What is the mass of the rod? (b) Find the change in the gravitational potential energy that occurs in a time of 0.24 s. (c) Find the electrical energy dissipated in the resistor in 0.24 s.

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 65PQ
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Review Conceptual Example 3 and the drawing as an aid in solving this problem. A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.2 m/s perpendicular to a 0.57-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and has a length of 1.9 m. A 0.74-Ω resistor is attached between the tops of the tracks. (a) What is the mass of the rod? (b) Find the change in the gravitational potential energy that occurs in a time of 0.24 s. (c) Find the electrical energy dissipated in the resistor in 0.24 s.

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