Chapter 9: Inductive Discharges
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Transient Electric Phenomena and Oscillations |
| Year | 1909 |
| Section ID | theory-calculation-transient-electric-phenomena-oscillations-chapter-58 |
| Location | lines 34897-40349 |
| Status | candidate |
| Word Count | 4430 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER IX. INDUCTIVE DISCHARGES. 64. The discharge of an inductance into a transmission line may be considered as an illustration of the phenomena in a complex circuit comprising sections of very different constants; that is, a combination of a circuit section of high inductance and small resistance and negligible capacity and conductance, as a generating station, with a circuit of distributed capacity and inductance, as a transmission line. The extreme case of such a discharge would occur if a short circuit at the busbars of a gen- erating station opens while the transmission line is connected to the generating station. Let r = the total resistance and L = the total inductance of the inductive section of the circuit; also let g = 0, C= 0, and L0 = inductance, <70 = capacity, r0 =Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER IX. INDUCTIVE DISCHARGES. 64. The discharge of an inductance into a transmission line may be considered as an illustration of the phenomena in a complex circuit comprising sections of very different constants; that is, a combination of a circuit section of high inductance and small resistance and negligible capacity and conductance, as a generating station, ...Transients / damping
Section titled “Transients / damping”... t follows herefrom that throughout the entire inductive section X = 0, and current i1 therefore is constant throughout this section. Choosing now the transition point between the inductance and the transmission line as zero of distance, A = 0, the inductance 635 536 TRANSIENT PHENOMENA is massed at point ^ = 0, and the transmission line extends from X = 0 to X = V Denoting the constants of the inductive section by index 1, those of the transmission line by index 2, the equations of the two circuit sections, from (290), are Cj) cos qt — ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... discharge of an inductance into a transmission line may be considered as an illustration of the phenomena in a complex circuit comprising sections of very different constants; that is, a combination of a circuit section of high inductance and small resistance and negligible capacity and conductance, as a generating station, with a circuit of distributed capacity and inductance, as a transmission line. The extreme case of such a discharge would occur if a short circuit at the busbars of a gen- erating station opens while the transmission line is connecte ...Field language
Section titled “Field language”... v'7*0' (cos qX - 24.65 sin gfl; E = 8732 1>-^ (cos qX + 0.040 sin gj). 544 TRANSIENT PHENOMENA (6) Three-half wave: 541.94°. & = 20,920; UQ = 105.6; 7 = if-** (cos qX- 29.6 sin gd); jE/ = 10,460 v~Wo< (cos g>l + 0.033 sin qX). APPENDIX VELOCITY FUNCTIONS OF THE ELECTRIC FIELD IN the study of the propagation of the electric field through space (wireless telegraphy and telephony), a number of new functions appear (Section III, Chapter VIII). . By the following equations these functions are defined, and related to the " Sine-Integral" Si x, the " ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 23 | seeded |
| Radiation | 5 | seeded |
| Light | 4 | seeded |
| Dielectric constant | 1 | seeded |
| Magnetic permeability | 1 | seeded |
| Refraction | 1 | seeded |
| Wave length | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| wave length | 1 | seeded |
Equation Candidates
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Figure Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
- 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”- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
- 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.
- Field language: Field-pressure or field-gradient interpretations can be explored here only after the explicit source passage and modern engineering translation are kept distinct.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
Promotion Checklist
Section titled “Promotion Checklist”- Open the full source text and the scan or raw PDF.
- Verify the chapter boundary and surrounding context.
- Promote exact quotations only after checking the source image.
- Move mathematical candidates into canonical equation pages only after formula typography is corrected.
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