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22. Consider the apparatus shown in the figure below in which a conducting bar can be moved along two rails connected to a lightbulb. The whole system is immersed in a magnetic field of magnitude B = 1.00 T perpendicular and into the page. The distance between the horizontal rails is { = 1.20 m. The resistance of the lightbulb is R = 60.0 N, assumed to be constant. The bar and rails have negligible resistance. The bar is moved toward the right at a constant speed by a constant force of magnitude F = 0.800 N. х х х х х х х F xe x Bin * * x X a) Find a symbolic expression for the current in the lightbulb in terms of B, e, R, and v, where v is the speed of the bar. b) What are the magnitude and direction of the magnetic force on the moving bar? c) What is the numerical value for the speed of the bar? d) What are the magnitude and direction of the current flowing through the bar? For the direction of current, please specify upward or downward through the bar. e) What is the power delivered to the lightbulb?

22. Consider the apparatus shown in the figure below in which a conducting bar can be moved along two rails connected to a lightbulb. The whole system is immersed in a magnetic field of magnitude B = 1.00 T perpendicular and into the page. The distance between the horizontal rails is { = 1.20 m. The resistance of the lightbulb is R = 60.0 N, assumed to be constant. The bar and rails have negligible resistance. The bar is moved toward the right at a constant speed by a constant force of magnitude F = 0.800 N. х х х х х х х F xe x Bin * * x X a) Find a symbolic expression for the current in the lightbulb in terms of B, e, R, and v, where v is the speed of the bar. b) What are the magnitude and direction of the magnetic force on the moving bar? c) What is the numerical value for the speed of the bar? d) What are the magnitude and direction of the current flowing through the bar? For the direction of current, please specify upward or downward through the bar. e) What is the power delivered to the lightbulb?

College Physics
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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I am uncertain about parts d and e.

### Problem 22: Conducting Bar and Lightbulb Circuit in a Magnetic Field Consider the apparatus shown in the figure where a conducting bar can be moved along two rails connected to a lightbulb. The entire system is immersed in a magnetic field of magnitude \(B = 1.00 \, \text{T}\), which is perpendicular and into the page. The distance between the horizontal rails is \(\ell = 1.20 \, \text{m}\). The resistance of the lightbulb is \(R = 60.0 \, \Omega\), assumed to be constant. The bar and rails have negligible resistance. A constant force of magnitude \(F = 0.800 \, \text{N}\) moves the bar to the right at a constant speed \(v\). **Figure Explanation:** - The diagram shows rails connected to a lightbulb with a conducting bar between them. - A uniform magnetic field \(B\) is shown perpendicular to the plane of the bar and rails. - The bar moves to the right with speed \(v\), driven by force \(F\). **Questions:** a) **Symbolic Expression for Current:** - Find the expression for current \(i\) in the lightbulb in terms of \(B\), \(\ell\), \(R\), and \(v\). b) **Magnetic Force:** - Determine the magnitude and direction of the magnetic force acting on the moving bar. c) **Numerical Speed:** - Calculate the numerical value for the speed \(v\) of the bar. d) **Current Magnitude and Direction:** - Determine the magnitude and direction of the current flowing through the bar. Specify the direction as upward or downward through the bar. e) **Power Delivered:** - Calculate the power delivered to the lightbulb.
Transcribed Image Text:### Problem 22: Conducting Bar and Lightbulb Circuit in a Magnetic Field Consider the apparatus shown in the figure where a conducting bar can be moved along two rails connected to a lightbulb. The entire system is immersed in a magnetic field of magnitude \(B = 1.00 \, \text{T}\), which is perpendicular and into the page. The distance between the horizontal rails is \(\ell = 1.20 \, \text{m}\). The resistance of the lightbulb is \(R = 60.0 \, \Omega\), assumed to be constant. The bar and rails have negligible resistance. A constant force of magnitude \(F = 0.800 \, \text{N}\) moves the bar to the right at a constant speed \(v\). **Figure Explanation:** - The diagram shows rails connected to a lightbulb with a conducting bar between them. - A uniform magnetic field \(B\) is shown perpendicular to the plane of the bar and rails. - The bar moves to the right with speed \(v\), driven by force \(F\). **Questions:** a) **Symbolic Expression for Current:** - Find the expression for current \(i\) in the lightbulb in terms of \(B\), \(\ell\), \(R\), and \(v\). b) **Magnetic Force:** - Determine the magnitude and direction of the magnetic force acting on the moving bar. c) **Numerical Speed:** - Calculate the numerical value for the speed \(v\) of the bar. d) **Current Magnitude and Direction:** - Determine the magnitude and direction of the current flowing through the bar. Specify the direction as upward or downward through the bar. e) **Power Delivered:** - Calculate the power delivered to the lightbulb.
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