Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius a and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of ω radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r < a, and (b) at a point between the tubes b < r < c, and (c) at a point outside the tubes r > d. (Hint: Think of copper tubes as a capacitor and find the charge density based on the voltage applied, Q = VC, C = 2πε0 L/ln(c/b).)
Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius a and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of ω radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r < a, and (b) at a point between the tubes b < r < c, and (c) at a point outside the tubes r > d. (Hint: Think of copper tubes as a capacitor and find the charge density based on the voltage applied, Q = VC, C = 2πε0 L/ln(c/b).)
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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Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius a and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of ω radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r < a, and (b) at a point between the tubes b < r < c, and (c) at a point outside the tubes r > d. (Hint: Think of copper tubes as a capacitor and find the charge density based on the voltage applied, Q = VC, C = 2πε0 L/ln(c/b).)
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