Chapter 4: Inductance And Resistance In Alternating Current Circuits
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Transient Electric Phenomena and Oscillations |
| Year | 1909 |
| Section ID | theory-calculation-transient-electric-phenomena-oscillations-chapter-26 |
| Location | lines 3515-4071 |
| Status | candidate |
| Word Count | 896 |
| Equation Candidates In Section | 31 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER IV. INDUCTANCE AND RESISTANCE IN ALTERNATING- CURRENT CIRCUITS. • 26. In alternating-current circuits, the inductance L, or, as it is usually employed, the reactance x = 2 nfL, where / = fre- quency, enters the expression of the transient as well as the permanent term. At the moment 0 = 0, let the e.m.f. e = E cos (0 — 00) be impressed upon a circuit of resistance r and inductance L, thus inductive reactance x = 2 xfL; let the time 6 = 2 xft be counted from the moment of closing the circuit, and 00 be the phase of the impressed e.m.f. at this moment. In this case the e.m.f. consumed by the resistance = ir, where i = instantaneous value of current. The e.m.f. consumed by the inductance L is proportionalSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Transients / damping
Section titled “Transients / damping”CHAPTER IV. INDUCTANCE AND RESISTANCE IN ALTERNATING- CURRENT CIRCUITS. • 26. In alternating-current circuits, the inductance L, or, as it is usually employed, the reactance x = 2 nfL, where / = fre- quency, enters the expression of the transient as well as the permanent term. At the moment 0 = 0, let the e.m.f. e = E cos (0 — 00) be impressed upon a circuit of resistance r and inductance L, thus inductive reactance x = 2 xfL; let the time 6 = 2 xft be counted from the moment of closing the circuit, and 00 be the p ...Waves / transmission lines
Section titled “Waves / transmission lines”... circuit of the following constants: — = 0.1, corresponding approximately to a lighting circuit, where the permanent value GO <feN so Degrees 120 Fig. 7. Starting current of an inductive circuit. X CM of current is reached in a small fraction of a half wave; — =0.5, corresponding to the starting of an induction motor with rheo- *M stat in the secondary circuit; — = 1.5, corresponding to an unloaded transformer, or to the starting of an induction motor with short-cifcuited secondary, and — = 10, corresponding to a reactive c ...Alternating current
Section titled “Alternating current”CHAPTER IV. INDUCTANCE AND RESISTANCE IN ALTERNATING- CURRENT CIRCUITS. • 26. In alternating-current circuits, the inductance L, or, as it is usually employed, the reactance x = 2 nfL, where / = fre- quency, enters the expression of the transient as well as the permanent term. At the moment 0 = 0, let the e.m.f. e = E cos (0 — 00) be impressed upon a circuit of resistance ...Impedance / reactance
Section titled “Impedance / reactance”CHAPTER IV. INDUCTANCE AND RESISTANCE IN ALTERNATING- CURRENT CIRCUITS. • 26. In alternating-current circuits, the inductance L, or, as it is usually employed, the reactance x = 2 nfL, where / = fre- quency, enters the expression of the transient as well as the permanent term. At the moment 0 = 0, let the e.m.f. e = E cos (0 — 00) be impressed upon a circuit of resistance r and inductance L, thus inductive reactance x = 2 xfL; let the time 6 = ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Light | 1 | seeded |
Chapter-Local Glossary Hits
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Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0270 | • 26. In alternating-current circuits, the inductance L, or, as | line 3520 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0271 | it is usually employed, the reactance x = 2 nfL, where / = fre- | line 3521 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0272 | At the moment 0 = 0, let the e.m.f. e = E cos (0 — 00) be | line 3525 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0273 | inductive reactance x = 2 xfL; let the time 6 = 2 xft be counted | line 3527 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0274 | from the moment of closing the circuit, and 00 be the phase of | line 3528 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0275 | or, by substituting 6 = 2 nft, x = 2 nfL, the e.m.f. consumed | line 3540 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0276 | Since e = E cos (0 — 00) = impressed e.m.f., | line 3545 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0277 | E cos (6 - 00) = ir + x — (1) | line 3548 |
Figure Candidates
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Hidden-Gem Quote Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
- 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.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
Promotion Checklist
Section titled “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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- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.