Equations of Motion of a Rigid Electron in a Uniformly Rotating Magnetic Field of constant strength rotating with a frequency $\frac{\ensuremath{\omega}}{2\ensuremath{\pi}}$ in the $\mathrm{XZ}$ plane, are obtained. The reactions on the motion due to finite size, radiation, 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 ${10}^{6}$, such as may be produced by means of electron-tube circuits, would not impart a great velocity to the electron.