Chapter 5: Free Oscillations
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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-54 |
| Location | lines 31451-32708 |
| Status | candidate |
| Word Count | 3936 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g; the wave length constant, &; the time attenuation constant, u\ the distance attenuation constant, h, and the time acceleration constant, s ; among these, the time attenuation, uy is a constant of the circuit, independent of the character of the wave. By the value of the acceleration constant, s, waves may be sub- divided into three classes, namely: s = 0, standing waves, as discussed in Chapter III; u > s > 0, traveling waves, as dis- cussed in Chapter IV; s = u, • alternating-currentSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g; the wave length constant, &; the time attenuation constant, u\ the distance attenuation constant, h ...Transients / damping
Section titled “Transients / damping”CHAPTER V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g ...Radiation / light
Section titled “Radiation / light”... R V. FREE OSCILLATIONS. 28. The general equations of the electric circuit, (50) and (51), contain eight terms: four waves: two main waves and their reflected waves, and each wave consists of a sine term and a cosine term. The equations contain five constants, namely: the frequency constant, g; the wave length constant, &; the time attenuation constant, u\ the distance attenuation constant, h, and the time acceleration constant, s ; among these, the time attenuation, uy is a constant of the circuit, independent of the character of the wave. By the va ...Complex quantities
Section titled “Complex quantities”... e = 0, or i = 0. Substituting I = 0 into the equations (50) and (51) gives eo = fi-<«- >'{[C/ (C/ + C2') - c, (C, + C2)] cos qt r ' (c1 ' -i- r f\ r (C1 -\- r v i • (L°2 V°3 ' U4 / °2 V°3 ' U4A - [ea' (C8 + C4) + c2 (C,7 + C/)] sin qt} (198) and i0 = s~(u~s)< { (Cj— C2) cos qt + (C/ — C/) sin qt} + e~(u+sn{(C3 -C4)cosqt+(C3' -C4')smqt}. (199) If neither g nor s equals zero, for e0 = 0, c/ (C/ + <72') - ct (Ct + Ca) = 0 I and c/ (C, + C2) + ct (C/ + Ca7) =0; J hence, \' \ _ '/ i (200) and for i0 = 0, n - r r - r 1 tf» '• V. ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Wave length | 11 | seeded |
| Frequency | 9 | seeded |
| Ether | 1 | seeded |
| Light | 1 | seeded |
| Radiation | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| wave length | 11 | seeded |
| ether | 1 | seeded |
Equation Candidates
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| No chapter-local candidates yet | - | - |
Figure Candidates
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Hidden-Gem Quote 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.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
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.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
- 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.
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.
- Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.