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A conducting rod of length = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 2, as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength 0.40 T is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of 6.0 m/s. a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at constant speed through the magnetic field. X. X X X X X X X X X X X X X X X X xx X X X X X X X X X X X XX X X X X X X X X x X X B-field Lin (x) F applied

A conducting rod of length = 25 cm is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of 8.0 2, as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength 0.40 T is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of 6.0 m/s. a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at constant speed through the magnetic field. X. X X X X X X X X X X X X X X X X xx X X X X X X X X X X X XX X X X X X X X X x X X B-field Lin (x) F applied

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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A conducting rod of length \( \ell = 25 \, \text{cm} \) is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of \( 8.0 \, \Omega \), as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength \( 0.40 \, \text{T} \) is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of \( 6.0 \, \text{m/s} \). a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at a constant speed through the magnetic field. **Diagram Explanation:** The diagram shows a U-shaped conducting wire with a rod positioned at the open ends of the "U." The magnetic field is represented by crosses, indicating that it is directed into the page. The rod moves to the right under the influence of an external applied force labeled \( F_{\text{applied}} \). The length of the rod is labeled \( \ell \) and a lightbulb symbol denotes the presence of a resistor with resistance \( 8.0 \, \Omega \). The diagram illustrates the key elements involved in the electromagnetic induction process.
Transcribed Image Text:A conducting rod of length \( \ell = 25 \, \text{cm} \) is placed on a U-shaped metal wire that is connected to a lightbulb having a resistance of \( 8.0 \, \Omega \), as shown in the figure. The wire and the rod are in the plane of the page. A constant uniform magnetic field of strength \( 0.40 \, \text{T} \) is applied perpendicular to and into the paper. An applied external force pulls the rod to the right with a constant speed of \( 6.0 \, \text{m/s} \). a) Calculate the induced emf in the rod. b) Find the magnitude and the direction of the induced current in the resistor. c) Calculate the power dissipated in the resistor during the time when the rod moves in the field. d) Calculate the external force necessary to move the rod at a constant speed through the magnetic field. **Diagram Explanation:** The diagram shows a U-shaped conducting wire with a rod positioned at the open ends of the "U." The magnetic field is represented by crosses, indicating that it is directed into the page. The rod moves to the right under the influence of an external applied force labeled \( F_{\text{applied}} \). The length of the rod is labeled \( \ell \) and a lightbulb symbol denotes the presence of a resistor with resistance \( 8.0 \, \Omega \). The diagram illustrates the key elements involved in the electromagnetic induction process.
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