Lecture 9: Oscillations Of The Compound Circuit
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients |
| Year | 1911 |
| Section ID | elementary-lectures-electric-discharges-waves-impulses-lecture-09 |
| Location | lines 5521-6088 |
| Status | candidate |
| Word Count | 2915 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 2 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”LECTURE IX. OSCILLATIONS OF THE COMPOUND CIRCUIT. 38. The most interesting and most important application of the traveling wave is that of the stationary oscillation of a com- pound circuit, as industrial circuits are never uniform, but consist of sections of different characteristics, as the generating system, transformer, line, load, etc. Oscillograms of such circuits have been shown in the previous lecture. If we have a circuit consisting of sections 1, 2, 3 . . . , of the respective lengths (in velocity measure) Xi, X2, X3 . . . , this entire circuit, when left to itself, gradually dissipates its stored energy by a transient. As function of the time, this transient must decrease at the same rate u0 throughout the entire circuit. Thus the time decrement of all the sections must be 6-**.Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”LECTURE IX. OSCILLATIONS OF THE COMPOUND CIRCUIT. 38. The most interesting and most important application of the traveling wave is that of the stationary oscillation of a com- pound circuit, as industrial circuits are never uniform, but consist of sections of different characteristics, as the generating system, transformer, line, load, etc. Oscillograms of such circuits have been shown in the previou ...Transients / damping
Section titled “Transients / damping”LECTURE IX. OSCILLATIONS OF THE COMPOUND CIRCUIT. 38. The most interesting and most important application of the traveling wave is that of the stationary oscillation of a com- pound circuit, as industrial circuits are never uniform, but consist of sections of different characteristics, as the gene ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... ion coil of the step-up transformer, the two lines, and the load. Let then Xi = length of line, X2 = length of transformer circuit, and Xs = length of load circuit, in velocity measure.* If then * If Zi = length of circuit section in any measure, and L0 = inductance, Co = capacity per unit of length Zi, then the length of the circuit in velocity measure is Xi = o-oZi, where <TO = v L0Co. Thus, if L = inductance, C = capacity per transformer coil, n = number of transformer coils, for the transformer the unit of length is the coil; hence the 110 ELEC ...Impedance / reactance
Section titled “Impedance / reactance”... e2 = i'2z2,l = 'z I ^ into (4) gives or and z2 or fz» /ON That is, in the same oscillating circuit, the maximum voltages 60 in the different sections are proportional to, and the maximum currents i0 inversely proportional to, the square root of the natural impedances z0 of the sections, that is, to the fourth root of the ratios of inductance to capacity -^ • to At every transition point between successive sections traversed by a traveling wave, as those of an oscillating system, a trans- formation of voltage and of current occurs, b ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Wave length | 3 | seeded |
| Frequency | 1 | seeded |
| Light | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| wave length | 3 | seeded |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
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| No chapter-local candidates yet | - | - |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
elementary-lectures-electric-discharges-waves-impulses-fig-054 | which it can draw in supplying power. In permanent condition the line could not add to the power, but must consume, that is, the permanent power-transmission diagram must always… | line 5739 |
elementary-lectures-electric-discharges-waves-impulses-fig-056 | Line Fig. 56. The diagram of the power of the two waves of opposite direc- tions, and of the resultant power, is shown in Fig. 57, assuming | line 5842 |
Hidden-Gem Quote Candidates
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| No chapter-local candidates yet | - | - |
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.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Lightning / surges: Connect the passage to switching surges, traveling waves, reflections, insulation stress, and protection practice.
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.
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.