Abstract

Electrons moving through a uniform magnetic field in the absence of an electric field experience a force resulting in circular motion. The radius of the circular motion due to the energy put into the electrons from the electron gun, and the strength of the applied magnetic field are related to the ratio of the charge of an electron to its mass. The squared radius of the curvature of the electron beam is found to be linearly related to the ratio of voltage and squared magnetic field strength by a constant term related to the charge to mass ratio of the electron. The measured electron charge to mass ratio is determined to be \((1.8 \pm 0.2) \times 10^{11} ~\text{C}/\text{kg}.\)

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