Chapter 8: Circuits Containing Resistance, Inductance, And Capacity
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1900 |
| Section ID | theory-calculation-alternating-current-phenomena-1900-chapter-08 |
| Location | lines 3577-5333 |
| Status | candidate |
| Word Count | 4195 |
| Equation Candidates In Section | 113 |
| Figure Candidates In Section | 13 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER VIII. CIRCUITS CONTAINING RESISTANCE, INDUCTANCE, AND CAPACITY. 42. Having, in the foregoing, reestablished Ohm's law and Kirchhoff's laws as being also the fundamental laws of alternating-current circuits, when expressed in their com- plex form, E = ZS, or, / = YE, and *%E = 0 in a closed circuit, S/ = 0 at a distributing point, where E, I, Z, Y, are the expressions of E.M.F., current, impedance, and admittance in complex quantities, — these values representing not only the intensity, but also the phase, of the alternating wave, — we can now — by application of these laws, and in the same manner as with continuous- current circuits, keeping in mind, however, that E, I, Z, Y, are complex quantities — calculate alternating-current cir- cuits and networks of circuits containing resistance, induc- tance,Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”... Kirchhoff's laws as being also the fundamental laws of alternating-current circuits, when expressed in their com- plex form, E = ZS, or, / = YE, and *%E = 0 in a closed circuit, S/ = 0 at a distributing point, where E, I, Z, Y, are the expressions of E.M.F., current, impedance, and admittance in complex quantities, — these values representing not only the intensity, but also the phase, of the alternating wave, — we can now — by application of these laws, and in the same manner as with continuous- current circuits, keeping in mind, however, that E, ...Dielectricity / capacity
Section titled “Dielectricity / capacity”CHAPTER VIII. CIRCUITS CONTAINING RESISTANCE, INDUCTANCE, AND CAPACITY. 42. Having, in the foregoing, reestablished Ohm's law and Kirchhoff's laws as being also the fundamental laws of alternating-current circuits, when expressed in their com- plex form, E = ZS, or, / = YE, and *%E = 0 in a closed circuit, S/ = 0 at a distributing point, ...Alternating current
Section titled “Alternating current”CHAPTER VIII. CIRCUITS CONTAINING RESISTANCE, INDUCTANCE, AND CAPACITY. 42. Having, in the foregoing, reestablished Ohm's law and Kirchhoff's laws as being also the fundamental laws of alternating-current circuits, when expressed in their com- plex form, E = ZS, or, / = YE, and *%E = 0 in a closed circuit, S/ = 0 at a distributing point ...Complex quantities
Section titled “Complex quantities”... so the fundamental laws of alternating-current circuits, when expressed in their com- plex form, E = ZS, or, / = YE, and *%E = 0 in a closed circuit, S/ = 0 at a distributing point, where E, I, Z, Y, are the expressions of E.M.F., current, impedance, and admittance in complex quantities, — these values representing not only the intensity, but also the phase, of the alternating wave, — we can now — by application of these laws, and in the same manner as with continuous- current circuits, keeping in mind, however, that E, I, Z, Y, are complex quantities — ca ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Ether | 2 | seeded |
| Light | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| ether | 2 | seeded |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0188 | and *%E = 0 in a closed circuit, | line 3589 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0189 | S/ = 0 at a distributing point, | line 3591 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0190 | 1.) Resistance in series with a circuit. | line 3612 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0191 | 43. In a constant-potential system with impressed | line 3614 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0192 | RESISTANCE, INDUCTANCE, CAPACITY. 59 | line 3621 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0193 | Z = r —jx, z = Vr2 + x’2, | line 3625 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0194 | be connected in series with a resistance, r0 . | line 3627 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0195 | Z + r0 = r + r0—jx\ | line 3630 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-fig-038 | Er Er0 Fig. 38. and the current is, /= | line 3764 |
theory-calculation-alternating-current-phenomena-1900-fig-039 | E Fig. 39. Z-jx0 r—j(x + x0}‘ | line 3771 |
theory-calculation-alternating-current-phenomena-1900-fig-040 | of reactance in series in a non-inductive circuit is, for small Fig. 40. values of reactance, independent of the sign, but propor- | line 3869 |
theory-calculation-alternating-current-phenomena-1900-fig-041 | -t-CONDENSANCE Fig. 41. E0 = 100 volts, and the following conditions of receiver circuit •— z= 1 Qj r = 1>0> x= 0 (Curve j) | line 4148 |
theory-calculation-alternating-current-phenomena-1900-fig-042 | series reactance continues up to x0 = il.6, or, x0 = — %x, Fig. 42. where E = 100 volts again ; and for x0 > 1.6 the voltage drops again. | line 4179 |
theory-calculation-alternating-current-phenomena-1900-fig-043 | \ Fig. 43. Since a synchronous motor in the condition of efficient working acts as a condensance, we get the remarkable result | line 4194 |
theory-calculation-alternating-current-phenomena-1900-fig-044 | x0 = 3.2 (Curve VI.) Fig. 44. Since z = 1.0, the current, /, in all these diagrams has the same value as E. | line 4236 |
theory-calculation-alternating-current-phenomena-1900-fig-049 | tance factor, *0/r0, of the series impedance. Fig. 49. ”o | line 4509 |
Hidden-Gem Quote Candidates
Section titled “Hidden-Gem Quote Candidates”| Candidate ID | Candidate Passage | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Ether references: Verify exact wording before drawing conclusions. Ether language must be separated from later interpretive systems.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- 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.
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.