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external magnetic R.

external magnetic R.

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.

Find the current that flows in the circuit. Express answer using two significant figures. 

### Explanation of the Diagram: The image illustrates a basic setup involving electromagnetic induction, displaying forces and magnetic fields influencing a conductive bar in a circuit. #### Key Components and Symbols: - **Magnetic Field (\( \mathbf{B} \))**: Represented by dots indicating that the magnetic field is oriented out of the page. - **Conductive Bar**: Slides vertically within a rectangular circuit loop. - **Velocity (\( \mathbf{v} \))**: The bar moves to the right, indicated by a green arrow. - **Current (\( I \))**: Shown flowing counterclockwise through the circuit, parallel to the direction of the bar's velocity. - **External Force (\( \mathbf{F}_{\text{external}} \))**: A force applied to keep the bar moving at a constant velocity, depicted by a leftward red arrow. - **Magnetic Force (\( \mathbf{F}_{\text{magnetic}} \))**: Acts to the left on the bar, opposing its motion, shown by another red arrow. - **Resistance (\( R \))**: A light bulb represents the resistance in the circuit, which lights up as current flows through it. #### Dynamics: - As the bar moves to the right within the magnetic field, an electromotive force is induced, generating current (\( I \)) in the circuit. - According to Faraday's Law of Induction, the movement of the conductive bar through the magnetic field (\( \mathbf{B} \)) induces this current, lighting the bulb. - The magnetic force (\( \mathbf{F}_{\text{magnetic}} \)), generated by this current interacting with the magnetic field, acts to oppose the motion of the bar, in accordance with Lenz's Law. - An external force (\( \mathbf{F}_{\text{external}} \)) must be applied to maintain the bar's constant velocity against this opposing magnetic force. This demonstration is fundamental in understanding electromagnetic induction principles, including the interaction between magnetic fields, forces, and electrical circuits.
Transcribed Image Text:### Explanation of the Diagram: The image illustrates a basic setup involving electromagnetic induction, displaying forces and magnetic fields influencing a conductive bar in a circuit. #### Key Components and Symbols: - **Magnetic Field (\( \mathbf{B} \))**: Represented by dots indicating that the magnetic field is oriented out of the page. - **Conductive Bar**: Slides vertically within a rectangular circuit loop. - **Velocity (\( \mathbf{v} \))**: The bar moves to the right, indicated by a green arrow. - **Current (\( I \))**: Shown flowing counterclockwise through the circuit, parallel to the direction of the bar's velocity. - **External Force (\( \mathbf{F}_{\text{external}} \))**: A force applied to keep the bar moving at a constant velocity, depicted by a leftward red arrow. - **Magnetic Force (\( \mathbf{F}_{\text{magnetic}} \))**: Acts to the left on the bar, opposing its motion, shown by another red arrow. - **Resistance (\( R \))**: A light bulb represents the resistance in the circuit, which lights up as current flows through it. #### Dynamics: - As the bar moves to the right within the magnetic field, an electromotive force is induced, generating current (\( I \)) in the circuit. - According to Faraday's Law of Induction, the movement of the conductive bar through the magnetic field (\( \mathbf{B} \)) induces this current, lighting the bulb. - The magnetic force (\( \mathbf{F}_{\text{magnetic}} \)), generated by this current interacting with the magnetic field, acts to oppose the motion of the bar, in accordance with Lenz's Law. - An external force (\( \mathbf{F}_{\text{external}} \)) must be applied to maintain the bar's constant velocity against this opposing magnetic force. This demonstration is fundamental in understanding electromagnetic induction principles, including the interaction between magnetic fields, forces, and electrical circuits.
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