Theory Section 13: Alternating-current Transformer
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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-13 |
| Location | lines 4465-5263 |
| Status | candidate |
| Word Count | 1828 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”13. ALTERNATING-CURRENT TRANSFORMER 60. The alternating-current transformer consists of one mag- netic circuit interlinked with two electric circuits, the primary circuit which receives energy, and the secondary circuit which delivers energy. Let TI = resistance, x\ = 2TrfSz = self-inductive or leakage reactance of secondary circuit, r0 = resistance, XQ = 2irfSi = self -inductive or leakage reactance of primary circuit, where S2 and Si refer to that magnetic flux which is interlinked with the one but not with the other circuit. Let a ratio of — — • — - turns (ratio of transformation), primary An alternating e.m.f. E0 impressed upon the primary electric circuit causes a current, which produces a magnetic flux $ inter- linked with primary and secondary circuits. This flux <l> gener- ates e.m.fs. EI and E{ in secondary and inSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Magnetism
Section titled “Magnetism”... ch delivers energy. Let TI = resistance, x\ = 2TrfSz = self-inductive or leakage reactance of secondary circuit, r0 = resistance, XQ = 2irfSi = self -inductive or leakage reactance of primary circuit, where S2 and Si refer to that magnetic flux which is interlinked with the one but not with the other circuit. Let a ratio of — — • — - turns (ratio of transformation), primary An alternating e.m.f. E0 impressed upon the primary electric circuit causes a current, which pr ...Impedance / reactance
Section titled “Impedance / reactance”... ransformer consists of one mag- netic circuit interlinked with two electric circuits, the primary circuit which receives energy, and the secondary circuit which delivers energy. Let TI = resistance, x\ = 2TrfSz = self-inductive or leakage reactance of secondary circuit, r0 = resistance, XQ = 2irfSi = self -inductive or leakage reactance of primary circuit, where S2 and Si refer to that magnetic flux which is interlinked with the one but not with the other circuit. Let a ra ...Alternating current
Section titled “Alternating current”13. ALTERNATING-CURRENT TRANSFORMER 60. The alternating-current transformer consists of one mag- netic circuit interlinked with two electric circuits, the primary circuit which receives energy, and the secondary circuit which delivers energy. Let TI = resistance, x\ ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... OEi we have sin E\OE -T- sin E\EO = .E^n -f- EiO ALTERNATING-CURRENT TRANSFORMER 71 thus, writing £ E&E = 0", we have sin 0" -4- sin (0' - 0i) = hz + Ei, wherefrom we get % 6", and £ E1OIl = 6 = 0, + 0", the phase displacement between secondary current and secondary e.m.f. FIG. 37. — Vector diagram of transformer with leading load current. In triangle O/oo/o we have since and 0/02 = O/oo2 + /oo/o2 - 2 O/oo/oo/o COS O/oo/o, £ #i00 = 90°, $ O/oo/o = 90 ...Chapter-Local Concept Hits
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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.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- 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”- 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.