Chapter 6: Topographic Method

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Source Metadata

Field	Value
Source	Theory and Calculation of Alternating Current Phenomena
Year	1916
Section ID	`theory-calculation-alternating-current-phenomena-chapter-06`
Location	lines 3267-3618
Status	candidate
Word Count	1780
Equation Candidates In Section	20
Figure Candidates In Section	9
Quote Candidates In Section	0

Opening Source Excerpt

CHAPTER VI TOPOGRAPHIC METHOD 36. In the representation of alternating sine waves by vectors, a certain ambiguity exists, in so far as one and the same quantity — voltage, for instance — 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 voltage or as a counter e.m.f. This is analogous to the distinction between action and reaction in mechanics. Further, it is obvious that if in the circuit of a generator, G (Fig. 25), the current in the direction from terminal A over re- sistance R to terminal B is represented by a vector, 01 (Fig. 26), or by 7 = z + ji' , the same current can be considered as being ' 7 ,,U— — L Fig. 25.

Source-Located Theme Snippets

Dielectricity / capacity

... ver's circuit, Ei, E2, Es, fall off more with lagging, and less with leading current, than with non-inductive load. 39. As a further example may be considered the case of a single-phase alternating-current circuit supplied over a cable containing resistance and distributed capacity. Let, in Fig. 32, the potential midway between the two ter- minals be assumed as zero point 0. The two terminal voltages at the receiver circuit are then represented by the points E and E^, equidistant from 0 and opposite each other, and the two cur- rents at the terminals ...

Waves / transmission lines

CHAPTER VI TOPOGRAPHIC METHOD 36. In the representation of alternating sine waves by vectors, a certain ambiguity exists, in so far as one and the same quantity — voltage, for instance — 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 voltage or as a counter e.m.f. This ...

Impedance / reactance

... AtANCED THREE-PHASE SYSTEtif NON-INDUCTIVE LOAD Fig. 29. Fig. 30. these currents are represented in Fig. 29 by the vectors 01 1 = 01 2 = 01 3 = I, lagging behind the voltages by angles EiOIi = £20/2 = EsOh = d. Let the three-phase circuit be supplied over a line of impedance, Zi = ri -{- jxi, from a generator of internal impedance, Zo = ro + jxo. In phase OEi the voltage consumed by resistance ri is repre- sented by the distance, EiEi^ = Iri, in phase, that is, parallel with current OIi. The voltage consumed by reactance Xi is represented by ...

Alternating current

CHAPTER VI TOPOGRAPHIC METHOD 36. In the representation of alternating sine waves by vectors, a certain ambiguity exists, in so far as one and the same quantity — voltage, for instance — 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 voltage or as a counter e.m.f. This is analogous to the distinction between action and reaction in mechanics. Further, it is obvious that if in the circuit of a generator, G (Fig. 25), the current in t ...

Chapter-Local Concept Hits

Concept Candidate	Hits In Section	Status
Ether	2	seeded

Chapter-Local Glossary Hits

Term Candidate	Hits In Section	Status
ether	2	seeded
counter e.m.f.	1	source-located candidate

Equation Candidates

Candidate ID	OCR / PDF-Text Candidate	Source Location
`theory-calculation-alternating-current-phenomena-eq-candidate-0170`	36. In the representation of alternating sine waves by vectors,	line 3270
`theory-calculation-alternating-current-phenomena-eq-candidate-0171`	sistance R to terminal B is represented by a vector, 01 (Fig. 26),	line 3280
`theory-calculation-alternating-current-phenomena-eq-candidate-0172`	or by 7 = z + ji’ , the same current can be considered as being	line 3281
`theory-calculation-alternating-current-phenomena-eq-candidate-0173`	or by 7] = — i — ji’.	line 3297
`theory-calculation-alternating-current-phenomena-eq-candidate-0174`	37. Let, for instance, in Fig. 27, an interlinked three-phase	line 3309
`theory-calculation-alternating-current-phenomena-eq-candidate-0175`	tial from AitoAiisEi—Ei, since the two voltages, Ei and E2,	line 3321
`theory-calculation-alternating-current-phenomena-eq-candidate-0176`	the same distance from 0 as Ei, and are equidistant from Ei and	line 3376
`theory-calculation-alternating-current-phenomena-eq-candidate-0177`	instance, Ei and Ei, is then the distance EiEi, or E1E2, according	line 3380

Figure Candidates

Candidate ID	OCR / PDF-Text Candidate	Source Location
`theory-calculation-alternating-current-phenomena-fig-025`	,,U— — L Fig. 25. Fig. 26.	line 3289
`theory-calculation-alternating-current-phenomena-fig-026`	Fig. 25. Fig. 26. in the opposite direction, from terminal B to terminal A in op-	line 3292
`theory-calculation-alternating-current-phenomena-fig-029`	NON-INDUCTIVE LOAD Fig. 29. Fig. 30.	line 3392
`theory-calculation-alternating-current-phenomena-fig-030`	Fig. 29. Fig. 30. these currents are represented in Fig. 29 by the vectors 01 1 =	line 3395
`theory-calculation-alternating-current-phenomena-fig-031`	CAPACIir AND RESISTANCE Fig. 31. Fig. 32.	line 3446
`theory-calculation-alternating-current-phenomena-fig-032`	Fig. 31. Fig. 32. triangle, Ei^E^^Ez^, the voltages at the receiver’s circuit, Ei, E2,	line 3449
`theory-calculation-alternating-current-phenomena-fig-033`	RESISTANCE AND LEAKAGE Fig. 33. 16 I TRANSMISSION	line 3554
`theory-calculation-alternating-current-phenomena-fig-034`	90” LAG Fig. 34. and generator currents, /i”, 72°, I^, over the topographical char-	line 3566

Hidden-Gem Quote Candidates

Candidate ID	Candidate Passage	Source Location
No chapter-local candidates yet	-	-

Modern Engineering Reading Prompts

Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
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.

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.
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.

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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