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The lightbulb in the circuit shown has a resistance of 21 Ω and consumes 5.1 W of power, the rod is 1.22 m long and moves to the left with a constant speed of 2.8 m/s. The strength of the magnetic field is 3.0 T. what speed must the rod have if the current in the circuit is to be 1.2 A

The lightbulb in the circuit shown has a resistance of 21 Ω and consumes 5.1 W of power, the rod is 1.22 m long and moves to the left with a constant speed of 2.8 m/s. The strength of the magnetic field is 3.0 T. what speed must the rod have if the current in the circuit is to be 1.2 A

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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The lightbulb in the circuit shown has a resistance of 21 Ω and consumes 5.1 W of power, the rod is 1.22 m long and moves to the left with a constant speed of 2.8 m/s. The strength of the magnetic field is 3.0 T.

what speed must the rod have if the current in the circuit is to be 1.2 A? Express answer using two significant figures

This diagram illustrates the principle of electromagnetic induction, focusing on the interaction between a moving conductor and a magnetic field. 1. **Components**: - A rectangular circuit with a resistor marked as \( R \). - A conducting rod moving perpendicular to the magnetic field. 2. **Magnetic Field (\( \vec{B} \))**: - Represented by dots indicating the field is coming out of the page. 3. **Motion (\( \vec{v} \))**: - The conducting rod moves to the left with velocity \( \vec{v} \). 4. **Induced Current (\( I \))**: - The motion of the rod through the magnetic field induces an electric current \( I \) along the circuit. 5. **Forces**: - **External Force (\( \vec{F}_{\text{external}} \))**: Applied force needed to keep the rod moving at a constant velocity. - **Magnetic Force (\( \vec{F}_{\text{magnetic}} \))**: Opposes the motion of the rod, generated due to the interaction with the magnetic field. 6. **Direction of Induced Current**: - Follows the conventional direction of positive charge flow, indicated by the arrows on the circuit. This setup demonstrates Faraday’s Law of Induction, where a changing magnetic environment of a conductor induces electromotive force (emf) and thus current in the circuit. The diagram is a classic example of the Lorentz force acting on moving charges in a magnetic field.
Transcribed Image Text:This diagram illustrates the principle of electromagnetic induction, focusing on the interaction between a moving conductor and a magnetic field. 1. **Components**: - A rectangular circuit with a resistor marked as \( R \). - A conducting rod moving perpendicular to the magnetic field. 2. **Magnetic Field (\( \vec{B} \))**: - Represented by dots indicating the field is coming out of the page. 3. **Motion (\( \vec{v} \))**: - The conducting rod moves to the left with velocity \( \vec{v} \). 4. **Induced Current (\( I \))**: - The motion of the rod through the magnetic field induces an electric current \( I \) along the circuit. 5. **Forces**: - **External Force (\( \vec{F}_{\text{external}} \))**: Applied force needed to keep the rod moving at a constant velocity. - **Magnetic Force (\( \vec{F}_{\text{magnetic}} \))**: Opposes the motion of the rod, generated due to the interaction with the magnetic field. 6. **Direction of Induced Current**: - Follows the conventional direction of positive charge flow, indicated by the arrows on the circuit. This setup demonstrates Faraday’s Law of Induction, where a changing magnetic environment of a conductor induces electromotive force (emf) and thus current in the circuit. The diagram is a classic example of the Lorentz force acting on moving charges in a magnetic field.
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