Chapter 6: Topographic Method

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Source Metadata

Field	Value
Source	Theory and Calculation of Alternating Current Phenomena
Year	1900
Section ID	`theory-calculation-alternating-current-phenomena-1900-chapter-06`
Location	lines 2774-3131
Status	candidate
Word Count	1850
Equation Candidates In Section	20
Figure Candidates In Section	7
Quote Candidates In Section	0

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. 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 OI (Fig. 26), or by /= i -\-ji', the same current can be con- sidered as flowing in the opposite direction, from terminal

Source-Located Theme Snippets

Dielectricity / capacity

... £E°. In Fig. 29, the diagram is shown for 45° lag, in Fig. 30 for noninductive load, and in Fig. 31 for 45° lead of the currents with regard to their E.M.Fs. BALANCED THREE -PHASE SYSTEM 45° LEAD THREE-PHASE CIRCUIT 80°LA» TRANSMISSION LINE' WITH DISTRIBUTED CAPACITY, INDUCTANCB RESISTANCE AUD LEAKAQB •I, Fig. 31. Fig. 32. As seen, the induced generator E.M.F. and thus the generator excitation with lagging current must be higher, with leading current lower, than at non-inductive load, or conversely with the same generator exc ...

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 a ...

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. Further, it is obvious that if in the circuit of a gener- ator, G (Fig. 25), the current fl ...

Impedance / reactance

... BALANCED THREE-PHASE SYSTEM NON-INDUCTIVE LOAD E° Fig. 29. E.M.Fs., these currents are represented in Fig. 29 by the vectors 07^ = 072 = Ofs = I, lagging behind the E.M.Fs. by angles E.O^ = EZOIZ = EZOI& = Q. Let the three-phase circuit be supplied over a line of impedance Z± = r^ —jx\ from a generator of internal im- pedance Z0 = x0 -jx0. In phase OEV the E.M.F. consumed by resistance r^ is represented by the distance E^EJ = Irv in phase, that is parallel with current OIV The E.M.F. consumed by re- actance #! is represented by E^Ej' = Ixv 9 ...

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

Equation Candidates

Candidate ID	OCR / PDF-Text Candidate	Source Location
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0143`	33. In the representation of alternating sine waves by	line 2778
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0144`	(Fig. 26), or by /= i —ji’, the same current can be con-	line 2791
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0145`	by a vector OI-± (Fig. 26), or by 7l = — i —ji’>	line 2794
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0146`	34. Let, for instance, in Fig. 27, an interlinked three-	line 2818
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0147`	nals — for instance E^ and E2 — is then the distance EZEV	line 2887
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0148`	vectors 07^ = 072 = Ofs = I, lagging behind the E.M.Fs.	line 2909
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0149`	pedance Z0 = x0 -jx0.	line 2914
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0150`	actance #! is represented by E^Ej’ = Ixv 90° ahead of cur-	line 2919

Figure Candidates

Candidate ID	OCR / PDF-Text Candidate	Source Location
`theory-calculation-alternating-current-phenomena-1900-fig-028`	-*’ Fig. 28. 34. Let, for instance, in Fig. 27, an interlinked three- phase system be represented diagrammatically, as consist-	line 2816
`theory-calculation-alternating-current-phenomena-1900-fig-027`	by one-third of a period. Let the E.M.Fs. in the direction Fig. 27 from the common connection O of the three branch circuits	line 2824
`theory-calculation-alternating-current-phenomena-1900-fig-029`	E° Fig. 29. E.M.Fs., these currents are represented in Fig. 29 by the	line 2905
`theory-calculation-alternating-current-phenomena-1900-fig-031`	•I, Fig. 31. Fig. 32.	line 2964
`theory-calculation-alternating-current-phenomena-1900-fig-032`	Fig. 31. Fig. 32. As seen, the induced generator E.M.F. and thus the	line 2967
`theory-calculation-alternating-current-phenomena-1900-fig-034`	90° LAO Fig. 34. Only the circuit characteristics of the first phase are shown as ^ and z’r As seen, passing from the receiving	line 3089
`theory-calculation-alternating-current-phenomena-1900-fig-035`	RESISTANCE AND LEAKAGE Fig. 35. current alternately rise and fall, while their phase angle	line 3102

Hidden-Gem Quote Candidates

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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.
Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane 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.

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