An electromagnetic rail gun uses magnetic forces to launch projectiles. (Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without friction along 1.0-m-long horizontal rails. The rails are connected to a 300 V source, and a 0.10 T magnetic field fills the space between the rails. Each rail has linear resistivity λ = 0.10 Ω/m, which means that the resistance is λ multiplied by the length of rail through which current flows. Assume that the sliding wire and the left end, where the voltage source is, have zero resistance. The wire is initially placed at x0 = 30 cm, then the switch is closed. What is the wire's speed as it leaves the rails?
An electromagnetic rail gun uses magnetic forces to launch projectiles. (Figure 1) shows a 10-cm-long, 10 g metal wire that can slide without friction along 1.0-m-long horizontal rails. The rails are connected to a 300 V source, and a 0.10 T magnetic field fills the space between the rails. Each rail has linear resistivity λ = 0.10 Ω/m, which means that the resistance is λ multiplied by the length of rail through which current flows. Assume that the sliding wire and the left end, where the voltage source is, have zero resistance. The wire is initially placed at x0 = 30 cm, then the switch is closed. What is the wire's speed as it leaves the rails?
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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VIEWStep 2 : calculating the current in the circuit when wire is placed at x=30cm
VIEWStep 3 : force on the wire
VIEWStep 4 : acceleration and velocity due to the magnetic force on the wire
VIEWStep 5 : time taken to cover 0.7 m
VIEWStep 6 : velocity at t= 0.0167 s
VIEWStep 8 : velocity of the wire when it leaves the rail
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