Chapter 10: Mutual Inductance
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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-32 |
| Location | lines 10475-12216 |
| Status | candidate |
| Word Count | 5572 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER X. MUTUAL INDUCTANCE. 82. In the preceding chapters, circuits have been considered containing resistance, self-inductance, and capacity, but no mutual inductance; that is, the phenomena which take place in the circuit have been assumed as depending upon the impressed e.m.f. and the constants of the circuit, but not upon the phenomena taking place in any other circuit. Of the magnetic flux produced by the current in a circuit and interlinked with this circuit, a part may be interlinked with a second circuit also, and so by its change generate an e.m.f. in the second circuit, and part of the magnetic flux produced by Fig. 38. Mutual inductance between circuits. the current in a second circuit and interlinked with the second circuit may be interlinked also with the first circuit, and a change of currentSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Field language
Section titled “Field language”... h other symmetrically, or reduced thereto; that is, where the mutual inductance is due to coils enclosed in the first circuit, interlinked magnetically with coils enclosed in the second circuit, as the primary and the secondary coils of a transformer, or a shunt and a series field winding of a generator, 144 TRANSIENT PHENOMENA the two coils are assumed as of the same number of turns, or reduced thereto. ri, No. turns second circuit If a = — = — =rr— — - -- : - r— , the currents in the nA No. turns first circuit second circuit are multiplied, ...Magnetism
Section titled “Magnetism”... , self-inductance, and capacity, but no mutual inductance; that is, the phenomena which take place in the circuit have been assumed as depending upon the impressed e.m.f. and the constants of the circuit, but not upon the phenomena taking place in any other circuit. Of the magnetic flux produced by the current in a circuit and interlinked with this circuit, a part may be interlinked with a second circuit also, and so by its change generate an e.m.f. in the second circuit, and part of the magnetic flux produced by Fig. 38. Mutual inductance between ci ...Transients / damping
Section titled “Transients / damping”... hen generates an e.m.f. in the first circuit. Diagrammatically the mutual inductance between two circuits can be sketched as shown by M in Fig. 38, by two coaxial coils, while the self-inductance is shown by a single coil L, and the resistance by a zigzag line. 141 142 TRANSIENT PHENOMENA The presence of mutual inductance, with a second circuit, introduces into the equation of the circuit a term depending upon the current in the second circuit. If i^ = the current in the circuit and r1 = the resistance of the circuit, then r^\ = the e.m.f. consum ...Impedance / reactance
Section titled “Impedance / reactance”... it, we have di L{j± = e.m.f. consumed by the inductance, ctt where, t = time. If instead of time t an angle 6 = 2 nft is introduced, where / is some standard frequency, as 60 cycles, di x. 3^ = e.m.f. consumed by the inductance, au where x1 = 2 nfL^ = inductive reactance. If now M = mutual inductance between the circuit and another circuit, that is, number of interlinkages of the circuit with the magnetic flux produced by unit current in the second circuit, and i2 = the current in the second circuit, then M—~= e.m.f. consumed by mutual in ...Chapter-Local Concept Hits
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| Frequency | 4 | seeded |
| Ether | 1 | seeded |
Chapter-Local Glossary Hits
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| ether | 1 | seeded |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
- 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”- 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.
- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
Promotion Checklist
Section titled “Promotion Checklist”- Open the full source text and the scan or raw PDF.
- Verify the chapter boundary and surrounding context.
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- 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.