Chapter 5: Symbolic Method
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1916 |
| Section ID | theory-calculation-alternating-current-phenomena-chapter-05 |
| Location | lines 2760-3266 |
| Status | candidate |
| Word Count | 2253 |
| Equation Candidates In Section | 50 |
| Figure Candidates In Section | 1 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER V SYMBOLIC METHOD 25. The graphical method of representing alternating-current phenomena affords the best means for deriving a clear insight into the mutual relation of the different alternating sine waves entering into the problem. For numerical calculation, however, the graphical method is generally not well suited, owing to the widely different magnitudes of the alternating sine waves rep- resented in the same diagram, which make an exact diagram- matic determination impossible. For instance, in the trans- former diagrams (c/. Figs. 18-20), the different magnitudes have numerical values in practice somewhat like the following: Ei = 100 volts, and 7i = 75 amp. For a non-inductive second- ary load, as of incandescent lamps, the only reactance of the secondaiy circuit thus is that of the secondary coil, or Xi = 0.08 ohms, giving a lagSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER V SYMBOLIC METHOD 25. The graphical method of representing alternating-current phenomena affords the best means for deriving a clear insight into the mutual relation of the different alternating sine waves entering into the problem. For numerical calculation, however, the graphical method is generally not well suited, owing to the widely different magnitudes of the alternating sine waves rep- resented in the same diagram, which make an exact diagram- matic determination impo ...Complex quantities
Section titled “Complex quantities”CHAPTER V SYMBOLIC METHOD 25. The graphical method of representing alternating-current phenomena affords the best means for deriving a clear insight into the mutual relation of the different alternating sine waves entering into the problem. For numerical calculation, however, the graphical m ...Impedance / reactance
Section titled “Impedance / reactance”... nation impossible. For instance, in the trans- former diagrams (c/. Figs. 18-20), the different magnitudes have numerical values in practice somewhat like the following: Ei = 100 volts, and 7i = 75 amp. For a non-inductive second- ary load, as of incandescent lamps, the only reactance of the secondaiy circuit thus is that of the secondary coil, or Xi = 0.08 ohms, giving a lag of ^i = 3.6°. We have also, rii = 30 turns. rio = 300 turns. Fi = 2250 ampere-turns. F =100 ampere-turns. Er = 10 volts. E:, = 60 volts. Ei = 1000 volts. Fig. 21. — Ve ...Alternating current
Section titled “Alternating current”CHAPTER V SYMBOLIC METHOD 25. The graphical method of representing alternating-current phenomena affords the best means for deriving a clear insight into the mutual relation of the different alternating sine waves entering into the problem. For numerical calculation, however, the graphical method is generally not well suited, owing to the widely different mag ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 2 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| counter e.m.f. | 1 | source-located candidate |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-eq-candidate-0120 | = 100 volts, and 7i = 75 amp. For a non-inductive second- | line 2774 |
theory-calculation-alternating-current-phenomena-eq-candidate-0121 | secondaiy circuit thus is that of the secondary coil, or Xi = 0.08 | line 2776 |
theory-calculation-alternating-current-phenomena-eq-candidate-0122 | ohms, giving a lag of ^i = 3.6°. We have also, | line 2777 |
theory-calculation-alternating-current-phenomena-eq-candidate-0123 | rii = 30 turns. | line 2779 |
theory-calculation-alternating-current-phenomena-eq-candidate-0124 | rio = 300 turns. | line 2781 |
theory-calculation-alternating-current-phenomena-eq-candidate-0125 | Fi = 2250 ampere-turns. | line 2783 |
theory-calculation-alternating-current-phenomena-eq-candidate-0126 | F =100 ampere-turns. | line 2785 |
theory-calculation-alternating-current-phenomena-eq-candidate-0127 | Er = 10 volts. | line 2787 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-fig-024 | 33 Fig. 24. polar coordinates by a vector of opposite direction, and denoted | line 2937 |
Hidden-Gem Quote Candidates
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| 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.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- 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.
- 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.
- 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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