A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid %3D x =E/QB(Qt – sinQt) y -E/ΩB(1-cosnt)

A particle of mass m and charge e, initially at rest at the origin, is subject to constant fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it moves on the cycloid %3D x =E/QB(Qt – sinQt) y -E/ΩB(1-cosnt)

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter2: Relativity Ii

Section: Chapter Questions

Problem 4P: A charged particle moves along a straight line in a uniform electric field E with a speed v. If the...

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

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A particle of mass m and charge e, initially at rest
at the origin, is subject to constant
fields E = (0, Ey, 0) and B = (0, 0, Bz). Show that it
moves on the cycloid
x -Ε/ΩΒ(Dt-sinQt)
y =E/QB(1 - cosQt)
in the plane z = 0, where Q = eB/m.
%3D

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