Equations of motion of a rigid electron in a uniformly rotating magnetic field of constant strength rotating with a frequency w/2π in the XZ plane are obtained. The reactions on the motion due to finite size, radiation from the electron and the field, and the variation of mass with velocity are neglected. If initially the velocity of the electron has components only along the X-axis or the Z-axis the path of the electron is a wavy curve inside an annular space whose axis is parallel to the Y-axis. If the initial velocity of the electron has components only along the Y-axis the path is a rather complicated type of spiral winding in the general direction of the Y-axis. It is found that a high frequency of rotation of the magnetic field, of the order of 106, such as may be produced by electron tube circuits, would not impart a great velocity to the electron.
Proceedings of the Iowa Academy of Science
©1922 Iowa Academy of Science, Inc.
Hulburt, E. O.
"The Path of a Rigid Electron Which Moves in a Magnetic Field of Constant Strength Rotating with Constant Angular Velocity,"
Proceedings of the Iowa Academy of Science, 29(1), 147-147.
Available at: https://scholarworks.uni.edu/pias/vol29/iss1/30