Chapter 13: Distributed Capacity, Inductance, Resistance, And Leakage
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1900 |
| Section ID | theory-calculation-alternating-current-phenomena-1900-chapter-13 |
| Location | lines 9741-11604 |
| Status | candidate |
| Word Count | 5979 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 4 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”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 cases, how- ever, the 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. iiiimiiiiumiiiT TTTTTTTTTT.TTTTTTTTTT i Fig. 83. Distributed Capacity. In this case the intensity as well as phase of the current, and consequently of the counter E.M.F. of inductance and resistance, vary from point to point ; and it is no longer possible to treat the circuit in the usual mannerSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Dielectricity / capacity
Section titled “Dielectricity / capacity”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 cases, how- ever, ...Waves / transmission lines
Section titled “Waves / transmission lines”... ility of the approximate representation of the line by one or by three condensers. Assuming, for instance, that the line conductors are of 1 cm. diameter, and at a distance from each other of 50 cm., and that the length of transmission is 50 km., we get the capacity of the transmission line from the formula — C = 1.11 X 10 -«K/ -=- 4 loge 2 d/ 8 microfarads, where K = dielectric constant of the surrounding medium = 1 in air ; / = length of conductor = 5 x 106 cm. ; d = distance of conductors from each other = 50 cm. ; 8 = diameter of conductor = 1 cm. ...Complex quantities
Section titled “Complex quantities”... es of practical engineering, however, the ca- pacity effect is small enough to be represented by the approx- imation of one ; viz., three condensers shunted across the line. 109. A.} Line capacity represented by one condenser shunted across middle of line. Let — Y = g + j b = admittance of receiving circuit ; z = r — j x = impedance of line ; be = condenser susceptance of line. DISTRIBUTED CAPACITY. 161 Denoting, in Fig. 84, the E.M.F., viz., current in receiving circuit by £, It the E.M.F. at middle of line by £', the E.M.F., viz. ...Impedance / reactance
Section titled “Impedance / reactance”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 cases, how- ever, the 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, ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 15 | seeded |
| Light | 4 | seeded |
| Ether | 3 | seeded |
| Wave length | 3 | seeded |
| Dielectric constant | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| ether | 3 | seeded |
| wave length | 3 | seeded |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
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Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
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theory-calculation-alternating-current-phenomena-1900-fig-086 | i Fig. 86. DISTRIBUTED CAPACITY. 173 | line 10694 |
theory-calculation-alternating-current-phenomena-1900-fig-088 | V Fig. 88. 176 | line 10808 |
theory-calculation-alternating-current-phenomena-1900-fig-089 | \ Fig. 89. DISTRIBUTED CAPACITY. | line 10830 |
theory-calculation-alternating-current-phenomena-1900-fig-090 | V Fig. 90. put into the line has been consumed therein, and at this point the two curves for lead and for lag join each other as | line 10864 |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Dielectricity / capacity: A Wheeler-style reading may emphasize dielectric compression, field stress, and stored potential, but this page treats that as interpretation unless Steinmetz explicitly says it.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
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