The Dependence of the Amplification Constant and Internal Plate Circuit Resistance of a Three-Electrode Vacuum Tube upon the Structural Dimensions

The amplification constant of three electrode vacuum tubes is mathematically derived in terms of readily measurable physical dimensions of the tube. Curves are plotted enabling the rapid pre-determination of tube amplification constant on this basis. The curves are shown to give results agreeing with experiment for a number of types of tubes. The internal resistance of the tube is similarly deduced, and an agreement between theory and experiment shown. Certain deviations in specific instances are explained.