Chapter 3: Inductance And Resistance In Continuous Current Circuits
Research workbench, not a finished commentary page.
This page is generated from processed source text and candidate catalogs. It exists to help researchers decide what to verify, promote, and deeply decode next.
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-25 |
| Location | lines 2659-3514 |
| Status | candidate |
| Word Count | 3220 |
| Equation Candidates In Section | 128 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER III. INDUCTANCE AND RESISTANCE IN CONTINUOUS- CURRENT CIRCUITS. 20. In continuous-current circuits the inductance does not •enter the equations of stationary condition, but, if e0 = impressed e.m.f., r = resistance, L = inductance, the permanent value of /> current is ia = — • r Therefore less care is taken in direct-current circuits to reduce the inductance than in alternating-current circuits, where the inductance usually causes a drop of voltage, and direct-current circuits as a rule have higher inductance, especially if the circuit is used for producing magnetic flux, as in solenoids, electro- magnets, machine-fields. Any change of the condition of a continuous-current circuit, as a change of e.m.f., of resistance, etc., which leads to a change of current from one value i0 to another value iv results in the appearance of aSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Magnetism
Section titled “Magnetism”... e less care is taken in direct-current circuits to reduce the inductance than in alternating-current circuits, where the inductance usually causes a drop of voltage, and direct-current circuits as a rule have higher inductance, especially if the circuit is used for producing magnetic flux, as in solenoids, electro- magnets, machine-fields. Any change of the condition of a continuous-current circuit, as a change of e.m.f., of resistance, etc., which leads to a change of current from one value i0 to another value iv results in the appearance of a transie ...Field language
Section titled “Field language”... the inductance than in alternating-current circuits, where the inductance usually causes a drop of voltage, and direct-current circuits as a rule have higher inductance, especially if the circuit is used for producing magnetic flux, as in solenoids, electro- magnets, machine-fields. Any change of the condition of a continuous-current circuit, as a change of e.m.f., of resistance, etc., which leads to a change of current from one value i0 to another value iv results in the appearance of a transient term connecting the current values i0 and iv and int ...Transients / damping
Section titled “Transients / damping”... agnetic flux, as in solenoids, electro- magnets, machine-fields. Any change of the condition of a continuous-current circuit, as a change of e.m.f., of resistance, etc., which leads to a change of current from one value i0 to another value iv results in the appearance of a transient term connecting the current values i0 and iv and into the equation of the transient term enters the inductance. Count the time t from the moment when the change in the continuous-current circuit starts, and denote the impressed e.m.f. by e0, the resistance by r, and the in ...Complex quantities
Section titled “Complex quantities”... r is ir, and the e.m.f. consumed by inductance L is di Ldt' where i = current in the circuit. 26 26 TRANSIENT PHENOMENA di Hence, eQ = ir + L — > (1) dt or, substituting eQ = if, and transposing, -i*-i±V This equation is integrated by - -t = log (i - ij - logc, where — log c is the integration constant, or, r i — i^ = ce L . However, for t = 0, i = iQ. Substituting this, gives IQ — il = c, -ft hence, i = il + (i0 - t\) e ' , (3) the equation of current in the circuit. The counter e.m.f. of self -inductance is e^- ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Light | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| No chapter-local term hits yet | - | - |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0142 | 20. In continuous-current circuits the inductance does not | line 2664 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0143 | •enter the equations of stationary condition, but, if e0 = impressed | line 2665 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0144 | e.m.f. by e0, the resistance by r, and the inductance by L. | line 2689 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0145 | therefore at the moment t = 0, by i the current during the | line 2698 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0146 | Hence, eQ = ir + L — > (1) | line 2716 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0147 | However, for t = 0, i = iQ. | line 2732 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0148 | hence, i = il + (i0 - t) e ’ , (3) | line 2738 |
theory-calculation-transient-electric-phenomena-oscillations-eq-candidate-0149 | e^-L^rtf.-*,).^’, . (4) | line 2743 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
Hidden-Gem Quote Candidates
Section titled “Hidden-Gem Quote Candidates”| Candidate ID | Candidate Passage | Source Location |
|---|---|---|
| No chapter-local candidates yet | - | - |
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.
- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
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.
- 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.