Date of Award
12-1923
Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Physics
Chief Instructor
A.G. Webster
Keywords
coils, alternating-current resistance, copper wire, resistance, inductance
Abstract
An integral equation method is used to develop formulas for the alternating-current resistance and inductance of a system of parallel "go and return" circuits. It is shown how these formulas may be applied to single-layer coils. The formulas are applied to several coils in which the "skin effect" is quite pronounced. These coils are measured at several frequencies and the results compared with the computed values. The methods of measurements are explained and a discussion is given pertaining to the distribution of the effective resistance in a coil. The eddy current losses due to dead ends are measured and discussed.
Other formulas are applied to the coils and the results vary from 50 to several hundred per cent.
The frequencies for which the formulas are suitable depend on the diameter of the conductor and its material. For No. 2 copper wire 3,000 is the highest frequency applicable, but for No. 22 copper wire frequencies as high as 300,000 may be used.
A table of part of the functions occurring in the formulas is given.
A simple formula for the mutual inductance between coaxial circles of the same diameter is also developed.
Recommended Citation
Hickman, Clarence N., "Alternating-Current Resistance and Inductance of Single Layer Coils" (1923). Historical Dissertations & Theses. 70.
https://commons.clarku.edu/hist_disstheses/70
Comments
Clarence Hickman would go onto work with Robert Goddard in 1918. He would go onto hold 35 military patents, receive the Medal for Merit from President Truman. During his time with Bell Telephone Company, he would acquire 30 patents that ranged from spearheading methods of telephone switching and metal tape recording. Hickman's ultimate passion was his love of archery, and he would become known as the "Father of Scientific Archery" for his contributions to the sport.