Problem 5 A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a region with no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sides height H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal and has magnitude B (a) Find the current I in the loop when it attains a speed v (in terms of the given parameters.) (b) Find the net force on the loop when it has speed v, assuming the bottom of the loop is in the lower, B 0, region but the top is still in the upper, B /0 region, again in terms of the given parameters (c) The loop will eventually reach a terminal velocity, a constant speed. Explain why this is true, and find an expression for that terminal velocity (d) How should the terminal velocity depend on the mass of the loop, the resistance of the loop, and the magnetic field strength? (e) What is the terminal velocity of a loop of copper wire, 0.50 m wide, 0.0010 kg mass, resistance of 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might notice that you get a really large terminal velocity! We should have expected that; why?

Problem 5 A vertical, rectangular loop fall out of a region where the magnetic field is uniform, into a region with no field. The loop has resistance R, mass m, horizontal sides of width w, and vertical sides height H. It is released from rest (vo = 0.) The magnetic field in the upper region is horizontal and has magnitude B (a) Find the current I in the loop when it attains a speed v (in terms of the given parameters.) (b) Find the net force on the loop when it has speed v, assuming the bottom of the loop is in the lower, B 0, region but the top is still in the upper, B /0 region, again in terms of the given parameters (c) The loop will eventually reach a terminal velocity, a constant speed. Explain why this is true, and find an expression for that terminal velocity (d) How should the terminal velocity depend on the mass of the loop, the resistance of the loop, and the magnetic field strength? (e) What is the terminal velocity of a loop of copper wire, 0.50 m wide, 0.0010 kg mass, resistance of 0.0032, falling out of a 0.00005 T field (the approximate field of the earth)? You might notice that you get a really large terminal velocity! We should have expected that; why?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 86CP: A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic...

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