Chapter 40: General System Of Circuits
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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-33 |
| Location | lines 12217-12884 |
| Status | candidate |
| Word Count | 1813 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XL GENERAL SYSTEM OF CIRCUITS. (A) Circuits containing resistance and inductance only. 95. Let, upon a general system or network of circuits con- nected with each other directly or inductively, and containing resistance and inductance, but no capacity, a system of e.m.fs., ey be impressed. These e.m.fs. may be of any frequency or wave shape, or may be continuous or anything else, but are supposed to be given by their equations. They may be free of transient terms, or may contain transient terms depending upon the currents in the system. In the latter case, the dependency of the e.m.f. upon the currents must obviously be given. Then, in each branch circuit, ^5~=0, (1) where e = total impressed e.m.f.; r. = resistance; L = induc- tance, of the circuit or branch of circuit traversedSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Transients / damping
Section titled “Transients / damping”... or inductively, and containing resistance and inductance, but no capacity, a system of e.m.fs., ey be impressed. These e.m.fs. may be of any frequency or wave shape, or may be continuous or anything else, but are supposed to be given by their equations. They may be free of transient terms, or may contain transient terms depending upon the currents in the system. In the latter case, the dependency of the e.m.f. upon the currents must obviously be given. Then, in each branch circuit, ^5~=0, (1) where e = total impressed e.m.f.; r. = resistance; L = in ...Dielectricity / capacity
Section titled “Dielectricity / capacity”CHAPTER XL GENERAL SYSTEM OF CIRCUITS. (A) Circuits containing resistance and inductance only. 95. Let, upon a general system or network of circuits con- nected with each other directly or inductively, and containing resistance and inductance, but no capacity, a system of e.m.fs., ey be impressed. These e.m.fs. may be of any frequency or wave shape, or may be continuous or anything else, but are supposed to be given by their equations. They may be free of transient terms, or may contain transient terms depending upon the current ...Ether references
Section titled “Ether references”... gives A-o =0- (11) The n equations (11) must be identities, that is, the coefficients of £~aJ must individually disappear. Each equation (11) thus gives m equations between the constants a, A, b, c, for i = 1, 2, . . . m, and since n equations (11) exist, we get altogether mn equations of the form where -0, q = 1, 2, 3,. . . n and i = 1, 2, 3,. . . m. (12) In addition hereto, the n terminal conditions, or values of current iK" for t = 0: iK°, give by substitution in (9) n further equations, (13) There thus exist (mn + n) eq ...Impedance / reactance
Section titled “Impedance / reactance”... ions which represent the transient term. 96. As an example of the application of this method may be considered the following case, sketched diagrammatically in Fig. 42: An alternator of e.m.f. E cos (6 - 00) feeds over resistance rl the primary of a transformer of mutual reactance xm. The secondary of this transformer feeds over resistances r2 and rs the primary of a second transformer of mutual reactance xmo, and the secondary of this second transformer is closed by resist- ance r4. Across the circuit between the two transformers and the two resista ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Ether | 4 | seeded |
| Frequency | 2 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| ether | 4 | seeded |
Equation Candidates
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Figure Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- 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.
- Ether references: Verify exact wording before drawing conclusions. Ether language must be separated from later interpretive systems.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- 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.
- Ether references: If Steinmetz mentions ether, quote only the verified source words first; any broader ether-field synthesis belongs in a labeled interpretive layer.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
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.