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A circuit is made of two light rods each of length 25cm, which move along long conductors as shown below. The rod on the left is moving to the left with a speed v, = 4m / s, and itself has a resistance R, = 32. The rod on the right moves to the right with a speed v, = 8m/s, and the rod itself has a resistance R, =12. The whole circuit is in an external magnetic field, B = 0.2T , oriented into the plane of the page. a) Draw the equivalent circuit; b) Calculate the currents in each branch; c) Calculate the power dissipated on R, where R, = 42. %3|

A circuit is made of two light rods each of length 25cm, which move along long conductors as shown below. The rod on the left is moving to the left with a speed v, = 4m / s, and itself has a resistance R, = 32. The rod on the right moves to the right with a speed v, = 8m/s, and the rod itself has a resistance R, =12. The whole circuit is in an external magnetic field, B = 0.2T , oriented into the plane of the page. a) Draw the equivalent circuit; b) Calculate the currents in each branch; c) Calculate the power dissipated on R, where R, = 42. %3|

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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**Problem Statement:** A circuit is made of two light rods each of length 25 cm, which move along long conductors as shown below. The rod on the left is moving to the left with a speed \( v_1 = 4 \, \text{m/s} \), and itself has a resistance \( R_1 = 3 \, \Omega \). The rod on the right moves to the right with a speed \( v_2 = 8 \, \text{m/s} \), and the rod itself has a resistance \( R_2 = 1 \, \Omega \). The whole circuit is in an external magnetic field, \( B = 0.2 \, \text{T} \), oriented into the plane of the page. **Tasks:** a) Draw the equivalent circuit. b) Calculate the currents in each branch. c) Calculate the power dissipated on \( R_3 \), where \( R_3 = 4 \, \Omega \). **Diagram Explanation:** The diagram shows the following elements: - Two rods are depicted running across long conductors with an external magnetic field \( \vec{B} \) directed into the page. - The left rod is moving left with velocity \( \vec{v_1} = 4 \, \text{m/s} \) and has a resistance \( R_1 = 3 \, \Omega \). - The right rod is moving right with velocity \( \vec{v_2} = 8 \, \text{m/s} \) and has a resistance \( R_2 = 1 \, \Omega \). - There is a central resistor labeled \( R_3 = 4 \, \Omega \).
Transcribed Image Text:**Problem Statement:** A circuit is made of two light rods each of length 25 cm, which move along long conductors as shown below. The rod on the left is moving to the left with a speed \( v_1 = 4 \, \text{m/s} \), and itself has a resistance \( R_1 = 3 \, \Omega \). The rod on the right moves to the right with a speed \( v_2 = 8 \, \text{m/s} \), and the rod itself has a resistance \( R_2 = 1 \, \Omega \). The whole circuit is in an external magnetic field, \( B = 0.2 \, \text{T} \), oriented into the plane of the page. **Tasks:** a) Draw the equivalent circuit. b) Calculate the currents in each branch. c) Calculate the power dissipated on \( R_3 \), where \( R_3 = 4 \, \Omega \). **Diagram Explanation:** The diagram shows the following elements: - Two rods are depicted running across long conductors with an external magnetic field \( \vec{B} \) directed into the page. - The left rod is moving left with velocity \( \vec{v_1} = 4 \, \text{m/s} \) and has a resistance \( R_1 = 3 \, \Omega \). - The right rod is moving right with velocity \( \vec{v_2} = 8 \, \text{m/s} \) and has a resistance \( R_2 = 1 \, \Omega \). - There is a central resistor labeled \( R_3 = 4 \, \Omega \).
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