On the construction of Tesla transformers. Period of oscillation and self-inductance of the coil. (Zur construction von Teslatransformatoren. Schwingungsdauer und Selbstinduction von Drahtspulen)

TL;DR

This paper investigates the factors influencing the self-resonance of single-layer solenoid coils, highlighting the importance of coil geometry and dielectric properties in determining oscillation periods and self-inductance.

Contribution

It provides an analysis of how coil dimensions and dielectric constants affect the self-resonance and inductance of Tesla transformers, based on Paul Drude's 1902 study.

Findings

Self-resonant wavelength ratio depends on coil height-to-diameter ratio.

Dielectric constants significantly influence self-resonance.

Coil geometry is crucial for optimizing Tesla transformer performance.

Abstract

English Translation of Paul Drude's 1902 investigation into the factors affecting the self-resonance of single-layer solenoid coils. The ratio of the self-resonant half-wavelength to the conductor length is is found to be principally dependent on the height-to diameter ratio of the coil and the dielectric constants of any insulating materials involved in the construction.