Theory Section 6: Self-inductance of Continuous-current Circuits
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theoretical Elements of Electrical Engineering |
| Year | 1915 |
| Section ID | theoretical-elements-electrical-engineering-section-06 |
| Location | lines 1785-2249 |
| Status | candidate |
| Word Count | 1414 |
| Equation Candidates In Section | 67 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”6. SELF-INDUCTANCE OF CONTINUOUS-CURRENT CIRCUITS 30. Self-inductance makes itself felt in continuous-current circuits only in starting and stopping or, in general, when the current changes in value. Starting of Current. If r = resistance, L = inductance of circuit, E = continuous e.m.-f. impressed upon circuit, i = current in circuit at time t after impressing e.m.f. E, and di the increase of current during time moment dt, then the increase of magnetic interlinkages during time dt is IM, and the e.m.f. generated thereby is r di ei = -L~di By Lentz's law it is negative, since it is opposite to the im- pressed e.m.f., its cause. Thus the e.m.f. acting in this moment upon the circuit is E + ei = E - L § CONTINUOUS-CURRENT CIRCUITS 25 and the current is or, transposing,Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Field language
Section titled “Field language”... and inductance L is 2 ' which is independent both of the resistance r of the circuit and the resistance n inserted in breaking the circuit. This energy has to be expended in stopping the current. EXAMPLES 32. (1) In the alternator field in Section 1, Example 4, Sec- tion 2, Example 2, and Section 5, Example 1, how long a time after impressing the required e.m.f. E = 230 volts will it take for the field to reach (a) J/£ strength, (b) %Q strength? (2) If 500 volts ar ...Magnetism
Section titled “Magnetism”... Current. If r = resistance, L = inductance of circuit, E = continuous e.m.-f. impressed upon circuit, i = current in circuit at time t after impressing e.m.f. E, and di the increase of current during time moment dt, then the increase of magnetic interlinkages during time dt is IM, and the e.m.f. generated thereby is r di ei = -L~di By Lentz's law it is negative, since it is opposite to the im- pressed e.m.f., its cause. Thus the e.m.f. acting in this moment upon the circu ...Transients / damping
Section titled “Transients / damping”... dates back to the early days of telegraphy, where it was applied to the ratio : — , that is, the reciprocal of the attenuation con- stant. This quantity which had gradually come into disuse, again became of importance when investigating transient electric phenomena, and in this work it was found more convenient to denote the value Y as attenuation constant, since this value appears as one term of the more gen- eral constant of the electric circuit ( Y + ~r< ) • (Theory and Cal ...Alternating current
Section titled “Alternating current”... nt dt, then the increase of magnetic interlinkages during time dt is IM, and the e.m.f. generated thereby is r di ei = -L~di By Lentz's law it is negative, since it is opposite to the im- pressed e.m.f., its cause. Thus the e.m.f. acting in this moment upon the circuit is E + ei = E - L § CONTINUOUS-CURRENT CIRCUITS 25 and the current is or, transposing, ™ _ r dt rdt di L i- r the integral of which is . E rt . /. ...Chapter-Local Concept Hits
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Chapter-Local Glossary Hits
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Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theoretical-elements-electrical-engineering-eq-candidate-0216 | 6. SELF-INDUCTANCE OF CONTINUOUS-CURRENT | line 1785 |
theoretical-elements-electrical-engineering-eq-candidate-0217 | 30. Self-inductance makes itself felt in continuous-current | line 1788 |
theoretical-elements-electrical-engineering-eq-candidate-0218 | at t = 0, i = 0, and thus | line 1849 |
theoretical-elements-electrical-engineering-eq-candidate-0219 | -’ «i = 0. | line 1873 |
theoretical-elements-electrical-engineering-eq-candidate-0220 | and its reciprocal, — , the “time constant of the circuit.”1 | line 1883 |
theoretical-elements-electrical-engineering-eq-candidate-0221 | 1 The name time constant dates back to the early days of telegraphy, where | line 1885 |
theoretical-elements-electrical-engineering-eq-candidate-0222 | ei = - = - 0.368 E. | line 1905 |
theoretical-elements-electrical-engineering-eq-candidate-0223 | 31. Stopping of Current. In a circuit of inductance L and | line 1907 |
Figure Candidates
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Hidden-Gem Quote Candidates
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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.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor 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.
- 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.