Chapter 4: Graphic Befrisxintation
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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-04 |
| Location | lines 2122-2743 |
| Status | candidate |
| Word Count | 3073 |
| Equation Candidates In Section | 22 |
| Figure Candidates In Section | 6 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER IV. GRAPHIC BEFRISXINTATION. 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. Fiq, 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 BEFRISXINTATION. 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”... parallelogram or the 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 thq 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 §17] 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-curre ...Magnetism
Section titled “Magnetism”... r 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. Fiq, 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 |
|---|---|---|
| Ether | 2 | seeded |
| Frequency | 2 | seeded |
| Light | 2 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| 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-0055 | 15. The sine wave, Fig. 1, is represented in polar | line 2181 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0056 | Thus, for instance, at the amplitude AOB^ == </>j = 2ir/j/ T’ | line 2201 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0057 | (Fig. 10), the instantaneous value is 0B’\ at the amplitude | line 2202 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0058 | AOB2 == </>2 = 2ir/2 / T, the instantaneous value is (?jff”, and | line 2203 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0059 | is then V2 times the vector OC^ so that the instantaneous | line 2224 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0060 | 16. To combine different sine waves, their graphical | line 2228 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0061 | If, for instance, two sine waves, OB and OC (Fig. 11), | line 2232 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0062 | 17. Suppose, as an instance, that over a line having the | line 2300 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1897-fig-009 | in the direction of the vector, giving the positive half-wave, Fig. 9. and once in opposition to the vector, giving the negative | line 2170 |
theory-calculation-alternating-current-phenomena-1897-fig-010 | different, they give different polar characteristics. Fig. 10. 15. The sine wave, Fig. 1, is represented in polar | line 2178 |
theory-calculation-alternating-current-phenomena-1897-fig-011 | nates by a vector, which by its length, OC, denotes tlie in- Fig. 11. tensity, and by its amplitude, AOC, the phase, of the sine | line 2266 |
theory-calculation-alternating-current-phenomena-1897-fig-012 | — ~^^E. Fig. 12. volts. What will be the E.M.F. required at the generator end of the line ? | line 2338 |
theory-calculation-alternating-current-phenomena-1897-fig-016 | Eo = V(^ cos a> + Jry + {E^m u> -f Jx)\ Fig. 16. If, however, the current in the receiving circuit is | line 2519 |
theory-calculation-alternating-current-phenomena-1897-fig-077 | non-inductive load it will be lower than when feeding into Fig. 77. a circuit with leading current, as, for instance, a synchro- | line 2560 |
Hidden-Gem Quote Candidates
Section titled “Hidden-Gem Quote Candidates”| Candidate ID | Candidate Passage | Source Location |
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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.
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