Distributed Constants
Meaning
Section titled “Meaning”Distributed constants are resistance, inductance, capacity, and leakage spread along a conductor, line, cable, or winding instead of concentrated at one point. Once constants are distributed, the circuit can behave as a wave system.
Modern Equivalent
Section titled “Modern Equivalent”Modern transmission-line notation often uses per-unit-length constants:
For an ideal lossless line:
Why Steinmetz Matters Here
Section titled “Why Steinmetz Matters Here”Steinmetz’s transient work forces the reader to stop treating every electrical system as an instantaneous lumped circuit. Long lines, high-potential apparatus, transformer coils, cables, and conductors can require a field-propagation view.
Modern Engineering Interpretation
This becomes modern transmission-line theory, surge propagation, reflection, standing waves, and insulation coordination.
Interactive Translation
Section titled “Interactive Translation”The Lightning and Surge Traveling Wave tool gives a modern visualization of a disturbance moving along a distributed line and reflecting from a terminal load.
Tesla-Era Comparison
Tesla-era high-frequency and impulse experiments often live in the same territory: distributed capacity, inductance, resonance, discharge, and wave propagation. The comparison must be technical, not mythic.
Related Pages
Section titled “Related Pages”Source-Grounded Dossier
Section titled “Source-Grounded Dossier”Generated evidence layer: this dossier is built from the processed concept concordance. Counts and snippets are OCR/PDF-text aids, not final quotations. Verify against scans before making exact claims.
Candidate occurrences tracked for this page.
Sources with at least one hit.
Sections, lectures, chapters, or report divisions to review.
What The Current Corpus Shows
Section titled “What The Current Corpus Shows”Read this concept page through the linked source passages first. Use the dossier to locate Steinmetz’s wording, then add modern, mathematical, historical, and interpretive layers only with labels.
The strongest current source concentration is Theory and Calculation of Transient Electric Phenomena and Oscillations with 112 candidate hits across 23 sections.
The dossier is meant to turn a concept page into a research workbench: begin with Steinmetz’s source wording, then add modern interpretation, mathematical reconstruction, historical context, and any ether-field reading as separate layers.
Terms And Aliases Tracked
Section titled “Terms And Aliases Tracked”distributed capacity, distributed constants, distributed inductance, standing wave, traveling wave, travelling wave, wave front, wave propagation
Concordance Records
Section titled “Concordance Records”Distributed Constants - Wave Propagation
Source Distribution
Section titled “Source Distribution”| Source | Candidate Hits | Sections | Concepts represented |
|---|---|---|---|
| Theory and Calculation of Transient Electric Phenomena and Oscillations | 112 | 23 | Distributed Constants, Wave Propagation |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 36 | 5 | Distributed Constants, Wave Propagation |
| Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients | 35 | 5 | Distributed Constants, Wave Propagation |
| Theory and Calculation of Alternating Current Phenomena | 28 | 2 | Distributed Constants |
| Theory and Calculation of Alternating Current Phenomena | 13 | 3 | Distributed Constants |
| Theory and Calculation of Alternating Current Phenomena | 12 | 2 | Distributed Constants |
| General Lectures on Electrical Engineering | 8 | 1 | Wave Propagation |
| Radiation, Light and Illumination | 4 | 2 | Wave Propagation |
Priority Passages To Read
Section titled “Priority Passages To Read”Chapter 4: Traveling Waves - 33 candidate hits
Source: Theory and Calculation of Transient Electric Phenomena and Oscillations (1909)
Location: lines 30244-31450 - Tracked concepts: Wave Propagation
Open source text - Open chapter workbench
CHAPTER IV. TRAVELING WAVES. 20. As seen in Chapter III, especially in electric power cir- cuits, overhead or underground, the longest existing standing wave has a wave length which is so small compared with the critical wave length - where the frequency becomes zero - that the effect of the damping constant on the frequency and the wave length is negligi...... the fre- quency constant q and the wave length constant k can be neglected, that is, frequency and wave length assumed as inde- pendent of the energy loss in the circuit. Usually, therefore, the equations (74) and (75) can be applied in dealing with the traveling wave. In these equations the distance traveled by the wave per second is used as unit len...Lecture 8: Traveling Waves - 27 candidate hits
Source: Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients (1914)
Location: lines 5279-6124 - Tracked concepts: Distributed Constants, Wave Propagation
Open source text - Open chapter workbench
LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given by the expression i = ioe-"^ cos ((/> T CO - 7), ^ . . e = eoe~"' sin ((^ =F co - 7), where <j) is the time...... y dis- tance angle co, and at any time t, that is, time angle 0, then is p = ei, = eo^e~2"* cos (0 =F co - 7) sin (0 =F co - 7), = ^6-^«'sin2(0Ta>-7), (2) and the average power flow is Po = avg p, (3) = 0. Hence, in a stationary oscillation, or standing wave of a uni- form circuit, the average flow of power, po, is zero, and no power flows along the c...Lecture 8: Traveling Waves - 27 candidate hits
Source: Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients (1911)
Location: lines 4745-5520 - Tracked concepts: Distributed Constants, Wave Propagation
Open source text - Open chapter workbench
LECTURE VIII. TRAVELING WAVES. 33. In a stationary oscillation of a circuit having uniformly distributed capacity and inductance, that is, the transient of a circuit storing energy in the dielectric and magnetic field, current and voltage are given ^by the expression i = iQe~ut cos (0 T co - 7), ) e = e0e~ut sin (</> T co - 7), ) where 0 is the time angle...... tance angle co, and at any time t, that is, time angle <£, then is p = ei, = e0ioe~2ut cos (</> T co - 7) sin (0 =F co - 7), = ^|V2«<sin2(c/>=Fco-7), (2) and the average power flow is Po = avg p, (3) = 0. Hence, in a stationary oscillation, or standing wave of a uni- form circuit, the average flow of power, p0, is zero, and no power flows along the ci...Chapter 13: Distributed Capacity, Inductance, Resistance, And Leakage - 23 candidate hits
Source: Theory and Calculation of Alternating Current Phenomena (1900)
Location: lines 9741-11604 - Tracked concepts: Distributed Constants
Open source text - Open chapter workbench
CHAPTER XIII. DISTRIBUTED CAPACITY, INDUCTANCE, RESISTANCE, AND LEAKAGE. 107. As far as capacity has been considered in the foregoing chapters, the assumption has been made that the condenser or other source of negative reactance is shunted across the circuit at a definite point. In many ...... hole length of the conductor, so that the circuit can be considered as shunted by an infinite number of infinitely small condensers infi nitely near together, as diagrammatically shown in Fig. 83. iiiimiiiiumiiiT TTTTTTTTTT.TTTTTTTTTT i Fig. 83. Distributed Capacity. In this case the intensity as well as phase of the current, and consequently of the c...Chapter 3: Standing Waves - 15 candidate hits
Source: Theory and Calculation of Transient Electric Phenomena and Oscillations (1909)
Location: lines 29316-30243 - Tracked concepts: Wave Propagation
Open source text - Open chapter workbench
CHAPTER III. STANDING WAVES. 14. If the propagation constant of the wave vanishes, h = 0, the wave becomes a stationary or standing wave, and the equa- tions of the standing wave are thus derived from the general equations (50) to (61), by substituting therein h = 0, which gives R2 = V(k2 - LCm2)2; (97) hence, if k2 > LCm2, R2 = tf- LCm2; and if /c2 < LCm...Chapter 12: Dibtbisnted Capacity, Inductance, Besistance, And - 11 candidate hits
Source: Theory and Calculation of Alternating Current Phenomena (1897)
Location: lines 11564-12672 - Tracked concepts: Distributed Constants
Open source text - Open chapter workbench
... capacity is distributed over the whole length of the conductor, so that the circuit can be considered as shunted by an infinite number of infinitely small condensers infi. nitely near together, as diagrammatically shown in Fig. 83. 8 3 S Fig, 83. Distributed Capacity. In this case the intensity as well as phase of the current,, and consequently of the...... .M.Fs., but also the currents, at the beginning, end, and different points of the conductor, are different in intensity and in phase. Where the capacity effect of the line is small, it may with sufficient approximation be represented by one con- §103] DISTRIBUTED CAPACITY. 151 denser of the same capacity as the line, shunted across the line. Frequentl...Reading Layers To Build Out
Section titled “Reading Layers To Build Out”| Layer | What to add next |
|---|---|
| Steinmetz wording | Pull exact source passages only after scan verification; keep OCR text labeled until then. |
| Modern engineering reading | Translate the source usage into present electrical-engineering or physics language without erasing the older vocabulary. |
| Mathematical layer | Link equations, variables, diagrams, and worked examples when the concept has formula candidates. |
| Historical layer | Identify whether the term is still used, renamed, absorbed into modern theory, or historically obsolete. |
| Ether-field interpretation | Keep interpretive readings separate from Steinmetz’s explicit claim and from modern physics. |
| Open questions | Record places where the concordance suggests a lead but the scan or edition has not yet been checked. |
Next Editorial Actions
Section titled “Next Editorial Actions”- Open the highest-priority source-text passages above and verify the wording against scans.
- Promote exact definitions, equations, diagrams, and hidden-gem passages into this page with source references.
- Add related concept links, equation pages, and diagram pages once the evidence is scan checked.
- Keep speculative or Wheeler-style readings in explicitly labeled interpretation blocks.