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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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?

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