Chapter 1: Introduction
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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-01 |
| Location | lines 1120-1683 |
| Status | candidate |
| Word Count | 2869 |
| Equation Candidates In Section | 36 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER I INTRODUCTION 1. In the practical applications of electrical energy, we meet with two different classes of phenomena, due respectively to the continuous current and to the alternating current. The continuous-current phenomena have been brought within the realm of exact analytical calculation by a few fundamental laws : c 1. Ohm's law: i = -, where r, the resistance, is a constant r of the circuit. 2. Joule's law: P = ^^r, where P is the power, or the rate at which energy is expended by the current, i, in the resistance, r. 3. The power equation: Po = ei, where Po is the power expended in the circuit of e.m.f., e, and current, i. 4. Kirchhoff's laws: (a) The sum of all the e.m.fs. in a closed circuit = 0, if the e.m.f.Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”... PHENOMENA soidal variation supposed), that is, the ratio ^ -^ 1, the maxi- mum rate of cutting is 2 7r/, and, consequently, the maximum vahic of c.m.f. generated in a circuit of maximum current value, i, and inductance, L, is e = 2TrfLi. Since the maximum values of sine waves are proportional (by factor V^) to the effective values (square root of mean squares), if i = effective value of alternating current, e = 2irfLi is the g effective value of e.m.f. of self-induction, and the ratio, -. — 2 tt/L, is the inductive reactance, Xm = 2 7r/L. ...Impedance / reactance
Section titled “Impedance / reactance”... m- ponents, each of which is larger than the undivided current, etc. 2. In phice of the above-mentioned fundamental laws of continuous currents, we find in alternating-current circuits the following: Ohm's law assumes the form i = -, where z, the apparent resistance, or impedance, is no longer a constant of the circuit, but depends upon the frequency of the currents; and in circuits containing iron, etc., also upon the e.m.f. Impedance, z, is, in the system of absolute units, of the same dimension as resistance (that is, of the dimension lt~^ = velo ...Magnetism
Section titled “Magnetism”... the reactance, x, or z — \/r" + X". The resistance, r, in circuits where energy is expended only in heating the conductor, is the same as the ohmic resistance of continuous-current circuits. In circuits, however, where energy is also expended outside of the conductor by magnetic hysteresis, mutual inductance, dielectric hysteresis, etc., r is larger than the true ohmic resistance of the conductor, since it refers to the total expenditure of energy. It may be called then the effective re- sistance. It may no longer be a constant of the circuit. The ...Alternating current
Section titled “Alternating current”CHAPTER I INTRODUCTION 1. In the practical applications of electrical energy, we meet with two different classes of phenomena, due respectively to the continuous current and to the alternating current. The continuous-current phenomena have been brought within the realm of exact analytical calculation by a few fun ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Frequency | 9 | seeded |
| Light | 2 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| effective resistance | 6 | source-located candidate |
| 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-0001 | 1. Ohm’s law: i = -, where r, the resistance, is a constant | line 1134 |
theory-calculation-alternating-current-phenomena-eq-candidate-0002 | 2. Joule’s law: P = ^^r, where P is the power, or the rate at | line 1140 |
theory-calculation-alternating-current-phenomena-eq-candidate-0003 | 3. The power equation: Po = ei, where Po is the power | line 1143 |
theory-calculation-alternating-current-phenomena-eq-candidate-0004 | (a) The sum of all the e.m.fs. in a closed circuit = 0, if the | line 1148 |
theory-calculation-alternating-current-phenomena-eq-candidate-0005 | point = 0. | line 1154 |
theory-calculation-alternating-current-phenomena-eq-candidate-0006 | 3. The principal sources of reactance are electromagnetism | line 1211 |
theory-calculation-alternating-current-phenomena-eq-candidate-0007 | e = 2TrfLi. | line 1286 |
theory-calculation-alternating-current-phenomena-eq-candidate-0008 | if i = effective value of alternating current, e = 2irfLi is the | line 1292 |
Figure Candidates
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|---|---|---|
| No chapter-local candidates yet | - | - |
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.
- 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
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.
- Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.