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You've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar

You've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar

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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You've decided to make a magnetic projectile launcher for your science project. An aluminum bar of length l = 5.19 cm slides along metal rails through a magnetic field B = 0.664 T. The switch closes at t = 0 s , while the bar is at rest, and a battery of emf = 16.50 V starts a current flowing around the loop. The battery had internal resistance, r = 0.139 Ω. The resistance of rails and the bar are effectively zero. What is the terminal speed (in m/s) of the bar? 

The image depicts a simplified electrical circuit setup within a uniform magnetic field. Here's a detailed description: 1. **Components**: - **Resistor (r)**: Represented by a zigzag symbol to indicate resistance in the circuit. - **Battery (\(\mathcal{E}_{\text{bat}}\))**: Shown with the classic symbol of a cell with positive and negative terminals, providing electromotive force (emf) to the circuit. - **Switch**: Depicted as a break in the line with a pivot, indicating that it can open or close the circuit. - **Metal Rod**: A gray rectangular object placed perpendicular to the wires; it presumably can move or interact within the magnetic field. 2. **Magnetic Field (\(\vec{B}\))**: - Represented by blue crosses (\(\times\)), indicating the direction of the magnetic field is into the page or screen. - The field is uniform across the area between the two parallel wires carrying current. 3. **Circuit Path**: - Two orange lines represent conducting wires that form the circuit loop. - The length (\(l\)) of the rod is indicated by a double arrow on the right side of the diagram. Overall, this setup is likely used to demonstrate electromagnetic principles such as the Lorentz force on the rod, where it experiences a force due to the interaction between the current through the rod and the magnetic field. The circuit would help in understanding concepts like induced electromotive force, magnetic flux, and current flow in a magnetic field.
Transcribed Image Text:The image depicts a simplified electrical circuit setup within a uniform magnetic field. Here's a detailed description: 1. **Components**: - **Resistor (r)**: Represented by a zigzag symbol to indicate resistance in the circuit. - **Battery (\(\mathcal{E}_{\text{bat}}\))**: Shown with the classic symbol of a cell with positive and negative terminals, providing electromotive force (emf) to the circuit. - **Switch**: Depicted as a break in the line with a pivot, indicating that it can open or close the circuit. - **Metal Rod**: A gray rectangular object placed perpendicular to the wires; it presumably can move or interact within the magnetic field. 2. **Magnetic Field (\(\vec{B}\))**: - Represented by blue crosses (\(\times\)), indicating the direction of the magnetic field is into the page or screen. - The field is uniform across the area between the two parallel wires carrying current. 3. **Circuit Path**: - Two orange lines represent conducting wires that form the circuit loop. - The length (\(l\)) of the rod is indicated by a double arrow on the right side of the diagram. Overall, this setup is likely used to demonstrate electromagnetic principles such as the Lorentz force on the rod, where it experiences a force due to the interaction between the current through the rod and the magnetic field. The circuit would help in understanding concepts like induced electromotive force, magnetic flux, and current flow in a magnetic field.
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