A rectangular wire loop located in the plane of the page has a width L, and its length, x, is determined by the position a movable rail that forms the fourth side of the rectangle, as shown. The total electrical resistance of the wire loop is R, and an externally applied magnetic field, B, is directed out of the page. The rail is moving towards the right with speed v. Assume that the x direction is towards the right of the page, the y direction is towards the top of the page, and the z direction is out of the page. |M|= Using only the variables provided, what is the magnitude of the magnetic flux at the instant when the rectangle has length x? Using only the variables provided, what is the magnitude of the induced EMF in the loop? What is the direction of the EMF generated in the loop? What is the magnitude of the induced current in the loop? What external force, Fapplied, must be applied to the rail to keep it moving to the right at constant speed v? Give both the magnitude and direction Based upon the calculation of the force, Fapplied, calculated in the previous step, how much power must be put into the system in order to maintain of the rail? Considering the current calculated in a previous step, calculate the power dissipated through the resistor. Which statement best describes the flow of energy through the system?
A rectangular wire loop located in the plane of the page has a width L, and its length, x, is determined by the position a movable rail that forms the fourth side of the rectangle, as shown. The total electrical resistance of the wire loop is R, and an externally applied magnetic field, B, is directed out of the page. The rail is moving towards the right with speed v. Assume that the x direction is towards the right of the page, the y direction is towards the top of the page, and the z direction is out of the page. |M|= Using only the variables provided, what is the magnitude of the magnetic flux at the instant when the rectangle has length x? Using only the variables provided, what is the magnitude of the induced EMF in the loop? What is the direction of the EMF generated in the loop? What is the magnitude of the induced current in the loop? What external force, Fapplied, must be applied to the rail to keep it moving to the right at constant speed v? Give both the magnitude and direction Based upon the calculation of the force, Fapplied, calculated in the previous step, how much power must be put into the system in order to maintain of the rail? Considering the current calculated in a previous step, calculate the power dissipated through the resistor. Which statement best describes the flow of energy through the system?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
Problem 72PQ
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Transcribed Image Text:A rectangular wire loop located in the plane of the page has a width L, and its length, x, is
determined by the position a movable rail that forms the fourth side of the rectangle, as shown. The total
electrical resistance of the wire loop is R, and an externally applied magnetic field, B, is directed out of the
page. The rail is moving towards the right with speed v. Assume that the x direction is towards the right of the
page, the y direction is towards the top of the page, and the z direction is out of the page.
|M|=
Using only the variables provided, what is the magnitude of the magnetic flux at the instant when the rectangle has length x?
Using only the variables provided, what is the magnitude of the induced EMF in the loop?
What is the direction of the EMF generated in the loop?
What is the magnitude of the induced current in the loop?
What external force, Fapplied, must be applied to the rail to keep it moving to the right at constant speed v? Give both the magnitude and direction
Based upon the calculation of the force, Fapplied, calculated in the previous step, how much power must be put into the system in order to maintain
of the rail?
Considering the current calculated in a previous step, calculate the power dissipated through the resistor.
Which statement best describes the flow of energy through the system?
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