Chapter 3: Law Of Electro-Magnetic Induction
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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-03 |
| Location | lines 1606-1742 |
| Status | candidate |
| Word Count | 724 |
| Equation Candidates In Section | 12 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER III. LAW OF ELECTRO-MAGNETIC INDUCTION. 11. If an electric conductor moves relatively to a mag- netic field, an E.M.F. is induced in the conductor which is proportional to the intensity of the magnetic field, to the length of the conductor, and to the speed of its motion perpendicular to the magnetic field and the direction of the conductor ; or, in other words, proportional to the number of lines of magnetic force cut per second by the conductor. As a practical unit of E.M.F., the volt is defined as the E.M.F. induced in a conductor, which cuts 108 = 100,000,000 lines of magnetic force per second. If the conductor is closed upon itself, the induced E.M.F. produces a current. A closed conductor may be called a turn or a convolution. In such a turn,Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Magnetism
Section titled “Magnetism”CHAPTER III. LAW OF ELECTRO-MAGNETIC INDUCTION. 11. If an electric conductor moves relatively to a mag- netic field, an E.M.F. is induced in the conductor which is proportional to the intensity of the magnetic field, to the length of the conductor, and to the speed of its motion perpendicular to the magnetic ...Field language
Section titled “Field language”CHAPTER III. LAW OF ELECTRO-MAGNETIC INDUCTION. 11. If an electric conductor moves relatively to a mag- netic field, an E.M.F. is induced in the conductor which is proportional to the intensity of the magnetic field, to the length of the conductor, and to the speed of its motion perpendicular to the magnetic field and the direction of the conductor ; or, in other words, proportional to th ...Radiation / light
Section titled “Radiation / light”... the flux, or the flux passes in and out of the turns, the total flux is cut four times during each complete period or cycle, twice passing into, and twice out of, the turns. LAW OF ELECTRO-MAGNETIC INDUCTION. 17 Hence, if N= number of complete cycles per second, or the frequency of the flux 3>, the average E.M.F. induced in n turns is, £&vg, = 4 « 3> N 10 ~ 8 volts. This is the fundamental equation of electrical engineer- ing, and applies to .continuous-current, as well as to alter- nating-current, apparatus. 12. In continuous-current machines ...Impedance / reactance
Section titled “Impedance / reactance”... S>, produced by a current of / amperes effective, or / V2 amperes maximum, is therefore — n® =Z/V2 108; and consequently the effective E.M.F. of self-inductance is: E = V2 =' 2 TT NLI volts. The product, x = 2 vNL, is of the dimension of resistance, and is called the reactance of the circuit ; and the E.M.F. of self-inductance of the circuit, or the reactance voltage, is E = Ix, and lags 90° behind the current, since the current is in phase with the magnetic flux produced by the current, and the E.M.F. lags 90° behind the magnetic flux. The E. ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Frequency | 3 | seeded |
| Ether | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
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| 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-0052 | E.M.F. induced in a conductor, which cuts 108 = 100,000,000 | line 1619 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0053 | of the flux inclosed by the turns, times 10~8. | line 1632 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0054 | £&vg, = 4 « 3> N 10 ~ 8 volts. | line 1652 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0055 | machine is E = 4«4>7V10~8 volts, independent of the num- | line 1667 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0056 | £avg = 4 « 4> JVW ~ 8 volts. | line 1675 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0057 | ^“max. = 27r»<S>7V710-8VOltS. | line 1682 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0058 | = 4.44 n 4>^10- 8 volts, | line 1691 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0059 | flux X number of turns X 10~8 | line 1703 |
Figure Candidates
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| No chapter-local candidates yet | - | - |
Hidden-Gem Quote Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- Field language: Field-pressure or field-gradient interpretations can be explored here only after the explicit source passage and modern engineering translation are kept distinct.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
- 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.