Chapter 6: Topographic Method
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1897 |
| Section ID | theory-calculation-alternating-current-phenomena-1897-chapter-06 |
| Location | lines 3230-3545 |
| Status | candidate |
| Word Count | 1684 |
| Equation Candidates In Section | 10 |
| Figure Candidates In Section | 4 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER VI. TOPOGRAPHIC METHOD. 33. In the representation of alternating sine waves by vectors in a polar diagram, a certain ambiguity exists, in so far as one and the same quantity — an E.M.F., for in- stance — can be represented by two vectors of opposite •direction, according as to whether the E.M.F. is considered as a part of the impressed E.M.F., or as a counter E.M.F. This is analogous to the distinction between action and reaction in mechanics. Fig. 25. Further, it is obvious that if in the circuit of a gener- ator, G (Fig. 25), the current flowing from terminal A over resistance R to terminal B, is represented by a vector 0/ (Fig. 26), or by /= i +ji\ the same current can be con- sidered as flowing in the opposite direction,Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER VI. TOPOGRAPHIC METHOD. 33. In the representation of alternating sine waves by vectors in a polar diagram, a certain ambiguity exists, in so far as one and the same quantity — an E.M.F., for in- stance — can be represented by two vectors of opposite •direction, according as to whether the E.M.F. is considered as a part of the impressed E.M.F., or ...Impedance / reactance
Section titled “Impedance / reactance”... in phase with E.M.F., E^, passes through a circuit, the counter E.M.F. of resistance, r, is E^ = /r, in opposition to /^ or E^^ 135] TOPOGRAPHIC METHOD. 47 and hence represented in the diagram by point £",, and its combination with E^ by E(. The counter E,M.F. of reactance, x, is E^ = Ix, 90' behind the current /j, or E.M.F., E^, and therefore represented by point E^, and giving, by its combination with E^, the terminal potential of the generator E^, which, as seen, is less than the E.M.F., £■,. If all the three branches are loaded equally b ...Alternating current
Section titled “Alternating current”CHAPTER VI. TOPOGRAPHIC METHOD. 33. In the representation of alternating sine waves by vectors in a polar diagram, a certain ambiguity exists, in so far as one and the same quantity — an E.M.F., for in- stance — can be represented by two vectors of opposite •direction, according as to whether the E.M.F. is considered as a part of the impressed E.M.F., or as a counter E.M.F. This is analogous to the distinction between action and reaction in mechanics. Fig. 25. Further, it is obvious that if in the circuit of a gener- ator, G (Fig. 25), th ...Ether references
Section titled “Ether references”... POGRAPHIC METHOD. 33. In the representation of alternating sine waves by vectors in a polar diagram, a certain ambiguity exists, in so far as one and the same quantity — an E.M.F., for in- stance — can be represented by two vectors of opposite •direction, according as to whether the E.M.F. is considered as a part of the impressed E.M.F., or as a counter E.M.F. This is analogous to the distinction between action and reaction in mechanics. Fig. 25. Further, it is obvious that if in the circuit of a gener- ator, G (Fig. 25), the current flowing f ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Ether | 2 | 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-1897-eq-candidate-0108 | 33. In the representation of alternating sine waves by | line 3234 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0109 | resistance R to terminal B, is represented by a vector 0/ | line 3249 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0110 | (Fig. 26), or by /= i +ji\ the same current can be con- | line 3250 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0111 | by a vector 0/^ (Fig. 26), or by /j = — / —ji” | line 3253 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0112 | 34. Let, for instance, in Fig. 27, an interlinked three- | line 3279 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0113 | the points E^ and £‘3, which have the same distance from | line 3338 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0114 | reactance, x, is E^ = Ix, 90’ behind the current /j, or | line 3369 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0115 | 37. As another instance, we may consider the unbal- | line 3485 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1897-fig-025 | reaction in mechanics. Fig. 25. Further, it is obvious that if in the circuit of a gener- | line 3244 |
theory-calculation-alternating-current-phenomena-1897-fig-027 | by one-third of a period. Let the RM.Fs. in the direction Fig. 27. from the common connection O of the three branch circuits to the terminals A^, A^f A^, be represented by E-^^… | line 3285 |
theory-calculation-alternating-current-phenomena-1897-fig-033 | ii Fig. 33. In the same manner, if two branches, E^E^^ and Ei^E^f are loaded, and the third, E^E^, is unloaded, and | line 3456 |
theory-calculation-alternating-current-phenomena-1897-fig-035 | It is obvious now, since the potential of every point of Fig. 35. the circuit is represented by a point in the topographic | line 3529 |
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”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Ether references: Verify exact wording before drawing conclusions. Ether language must be separated from later interpretive systems.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
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.
- Ether references: If Steinmetz mentions ether, quote only the verified source words first; any broader ether-field synthesis belongs in a labeled interpretive layer.
- 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.