Two infinitely long sticks each have uniform linear proper charge density λ. (“Proper” means as measured in the rest frame of the given object.) One stick is stationary in the lab frame, while the other stick moves to the left with speed v, as shown in the figure below. They are 2r apart, and a stationary point charge q lies midway between them. Find the electric and magnetic forces on the charge q in the lab frame, and also in the frame of the bottom stick. (Be sure to specify the directions.) Then verify that the total forces in the two frames relate properly.
Two infinitely long sticks each have uniform linear proper charge density λ. (“Proper” means as measured in the rest frame of the given object.) One stick is stationary in the lab frame, while the other stick moves to the left with speed v, as shown in the figure below. They are 2r apart, and a stationary point charge q lies midway between them. Find the electric and magnetic forces on the charge q in the lab frame, and also in the frame of the bottom stick. (Be sure to specify the directions.) Then verify that the total forces in the two frames relate properly.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
Section: Chapter Questions
Problem 14.40P
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Two infinitely long sticks each have uniform linear proper charge density λ. (“Proper” means as measured in the rest frame of the given object.) One stick is stationary in the lab frame, while the other stick moves to the left with speed v, as shown in the figure below. They are 2r apart, and a stationary point charge q lies midway between them. Find the electric and magnetic forces on the charge q in the lab frame, and also in the frame of the bottom
stick. (Be sure to specify the directions.) Then verify that the total forces in the two frames relate properly.
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