Chapter 7: Power And Energy Of The Complex Circuit
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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-56 |
| Location | lines 33528-34202 |
| Status | candidate |
| Word Count | 2062 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER VII. POWER AND ENERGY OF THE COMPLEX CIRCUIT. 50. The free oscillation of a complex circuit differs from that of the uniform circuit in that the former contains exponential functions of the distance A which represent the shifting or transfer of power between the sections of the circuit. Thus the general expression of one term or frequency of current and voltage in a section of a complex circuit is given by equations (290); - £~SA [C cos q (A + 0 + D sin q (J + t)]} and /7 +SA [A cos q (A — t) -f B sin q (A — £)] where q = nq0, q0 = — , A = total length of circuit, expressed in the distance coordinate A = o-lt I being the distance coordinate of the circuitSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Field language
Section titled “Field language”... ved by the section from the rest of the circuit, is proportional to the length of the section, A', to its trans- fer constant, s, and to the sum of the power of main wave and reflected wave. 51. The energy stored by the inductance L of a circuit element dXj that is, in the magnetic field of the circuit, is 'LV dwl =-^~A where U = inductance per unit length of circuit expressed by the distance coordinate A. Since L = the inductance per unit length of circuit, of distance coordinate Z, and X = <?l, u L Li = — VLC 516 TRANSIENT PHENOMENA hence, ...Waves / transmission lines
Section titled “Waves / transmission lines”... 3) over a complete period in time gives the effective or mean value of power at any point X as p = r*M {fi+2« (A2 + J52) - s-2s (C2 + £>2) } ; (304) .2 * C that is, the effective power at any point of the circuit is the difference between the effective power of the main wave and that of the reflected wave, and also, the instantaneous power at any time and any point of the circuit is the difference between the instantaneous power of the main wave and that of the reflected wave. The effective power at any point of the circuit gradually decrease ...Transients / damping
Section titled “Transients / damping”CHAPTER VII. POWER AND ENERGY OF THE COMPLEX CIRCUIT. 50. The free oscillation of a complex circuit differs from that of the uniform circuit in that the former contains exponential functions of the distance A which represent the shifting or transfer of power between the sections of the circuit. Thus the general expression of one term or frequency of c ...Magnetism
Section titled “Magnetism”... ved by the section from the rest of the circuit, is proportional to the length of the section, A', to its trans- fer constant, s, and to the sum of the power of main wave and reflected wave. 51. The energy stored by the inductance L of a circuit element dXj that is, in the magnetic field of the circuit, is 'LV dwl =-^~A where U = inductance per unit length of circuit expressed by the distance coordinate A. Since L = the inductance per unit length of circuit, of distance coordinate Z, and X = <?l, u L Li = — VLC 516 TRANSIENT PHENOMENA ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 3 | seeded |
| Wave length | 2 | seeded |
| Ether | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| wave length | 2 | seeded |
| ether | 1 | seeded |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
- 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.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- 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”- 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.
- 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.
- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- 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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- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.