Chapter 4: Graphic Representation
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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-04 |
| Location | lines 1743-2321 |
| Status | candidate |
| Word Count | 3152 |
| Equation Candidates In Section | 39 |
| Figure Candidates In Section | 8 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER IV. GRAPHIC REPRESENTATION. 14. While alternating waves can be, and frequently are, represented graphically in rectangular coordinates, with the time as abscissae, and the instantaneous values of the wave as ordinates, the best insight with regard to the mutual relation of different alternate waves is given by their repre- sentation in polar coordinates, with the time as an angle or the amplitude, — one complete period being represented by one revolution, — and the instantaneous values as radii vectores. Fig. 8. Thus the two waves of Figs. 2 and 3 are represented in polar coordinates in Figs. 8 and 9 as closed characteristic curves, which, by their intersection with the radius vector, give the instantaneous value of the wave, corresponding to the time represented by the amplitude of the radius vector. These instantaneous valuesSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER IV. GRAPHIC REPRESENTATION. 14. While alternating waves can be, and frequently are, represented graphically in rectangular coordinates, with the time as abscissae, and the instantaneous values of the wave as ordinates, the best insight with regard to the mutual relation of different alternate waves is given by their repre- sent ...Impedance / reactance
Section titled “Impedance / reactance”... f parallelogram or tJie polygon of sine waves. Kirchhoff's laws now assume, for alternating sine waves, the form : — a.) The resultant of all the E.M.Fs. in a closed circuit, as found by the parallelogram of sine waves, is zero if the counter E.M.Fs. of resistance and of reactance are included. b.} The resultant of all the currents flowing towards a GRAPHIC REPRESENTATION. 23 distributing point, as found by the parallelogram of sine waves, is zero. The energy equation expressed graphically is as follows : The power of an alternating-curren ...Magnetism
Section titled “Magnetism”... or instance, a synchro- nous motor circuit under the circumstances stated above. 21. As a further example, we may consider the dia- gram of an alternating-current transformer, feeding through its secondary circuit an inductive load. For simplicity, we may neglect here the magnetic hysteresis, the effect of which will be fully treated in a separate chapter on this subject. Let the time be counted from the moment when the magnetic flux is zero. The phase of the flux, that is, the amplitude of its maximum value, is 90° in this case, and, consequently, ...Alternating current
Section titled “Alternating current”... tes, with the time as an angle or the amplitude, — one complete period being represented by one revolution, — and the instantaneous values as radii vectores. Fig. 8. Thus the two waves of Figs. 2 and 3 are represented in polar coordinates in Figs. 8 and 9 as closed characteristic curves, which, by their intersection with the radius vector, give the instantaneous value of the wave, corresponding to the time represented by the amplitude of the radius vector. These instantaneous values are positive if in the direction of the radius vector, and n ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Frequency | 2 | seeded |
| Light | 2 | seeded |
| Ether | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| ether | 1 | seeded |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0064 | 15. The sine wave, Fig. 1, is represented in polar | line 1789 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0065 | 1= OC, represents the intensity of the wave ; and the am- | line 1792 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0066 | where </> = 2 IT / / T is the instantaneous value of the ampli- | line 1800 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0067 | tude corresponding to the instantaneous value, 2, of the wave. | line 1801 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0068 | Thus, for instance, at the amplitude AOBl = ^ = 2 ^ / T | line 1805 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0069 | (Fig. 10), the instantaneous value is OB’ ; at the amplitude | line 1806 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0070 | AO£2 = <f>2 = 27T/2/ T, the instantaneous value is ~OJ3”, and | line 1807 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0071 | is then V2 times the vector OC, so that the instantaneous | line 1832 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-fig-011 | nates by a vector, which by its length, OC, denotes the in- Fig. 11. tensity, and by its amplitude, AOC, the phase, of the sine | line 1892 |
theory-calculation-alternating-current-phenomena-1900-fig-012 | be sent into a non-inductive circuit at an E.M.F. of E Fig. 12. volts. What will be the E.M.F. required at the generator end of the line ? | line 1936 |
theory-calculation-alternating-current-phenomena-1900-fig-013 | E? 0 Fig. 13. 18. We may, however, introduce the effect of the induc- | line 1989 |
theory-calculation-alternating-current-phenomena-1900-fig-014 | E.V o Fig. 14. of the impressed E.M.F., in the latter case being of opposite phase. According to the nature of the problem, either the | line 2025 |
theory-calculation-alternating-current-phenomena-1900-fig-015 | —X« Fig. 15. 19. Coming back to the equation found for the E.M.F. | line 2062 |
theory-calculation-alternating-current-phenomena-1900-fig-018 | E0 = V(^ cos w + Ir)2 -f- (E sin w + Ix)z. Fig. 18. If, however, the current in the receiving circuit is leading, as -is the case when feeding condensers or syn- | line 2112 |
theory-calculation-alternating-current-phenomena-1900-fig-017 | ’E. Fig. 17. a circuit with leading current, as, for instance, a synchro- nous motor circuit under the circumstances stated above. | line 2152 |
theory-calculation-alternating-current-phenomena-1900-fig-020 | same E.M.F. and current ; or conversely, at a given primary Fig. 20. impressed E.M.F., E0, the secondary E.M.F., E^ will be smaller with an inductive, and larger with a condenser | line 2295 |
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.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- 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.
- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- 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
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