A Transformation for Calculating the Constants of Vacuum Tubes with Cylindrical Elements

By the method of conjugate functions formulas are derived for the amplification constant of a relatively long tube structure comprising a small cylinder concentric with the axis of the structure, a number of wires parallel to the axis and located on a circle concentric with and outside the first cylinder, and a second cylinder also concentric with the axis and surrounding the wires. Several cases are considered, according to which of these elements are taken as cathode, anode, and control electrode. The calculation of tube capacitances by means of the same transformation is illustrated and the basis for setting up transformations for other cylindrical structures is indicated.