Abstract
Using measurements from a working system of medium frequency resonant transformers excited by a low power vacuum tube amplifier, a lumped element, dynamically coupled, vibrations model describing the turn-to-turn mutual magnetic and dielectric coupling within a single-layer, solenoidal, transformer winding was developed.
Single-layer, solenoidal, transformer windings with height-to-width factors similar to Nikola Tesla's Colorado Springs apparatus were designed and constructed. A vacuum tube amplifier was constructed for exciting the primary windings, and various electrical measurements were made for analysis and comparison.
The coefficients of self-capacitance and self-inductance of the windings were determined using published empirical data. The theoretical propagation velocities were computed and compared with measurements made at resonance. The measured and theoretical propagation velocities match closely and confirm the extra coil velocity measurements made by Nikola Tesla in December 1899.