Chapter 14: The Alternating-Current Transformer
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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-14 |
| Location | lines 11605-12682 |
| Status | candidate |
| Word Count | 3614 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 8 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER XIV. THE ALTERNATING-CURRENT TRANSFORMER. 126. The simplest alternating-current apparatus is the transformer. It consists of a magnetic circuit interlinked with two electric circuits, a primary and a secondary. The primary circuit is excited by an impressed E.M.F., while in the secondary circuit an E.M.F. is induced. Thus, in the primary circuit power is consumed, and in the secondary a corresponding amount of power is produced. Since the same magnetic circuit is interlinked with both electric circuits, the E.M.F. induced per turn must be the same in the secondary as in the primary circuit ; hence, the primary induced E.M.F. being approximately equal to the impressed E.M.F., the E.M.Fs. at primary and at sec- ondary terminals have approximately the ratio of their respective turns. Since the power produced in the second- ary is approximately theSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”... tor QS, leading O<b by the angle &O® = a. The induced E.M.Fs. have the phase 180°, that is, are plotted towards the left, and represented by the vectors OZT; and OE±. If, now, ft' = angle of lag in the secondary circuit, due to the total (internal and external) secondary reactance, the secondary current II , and hence the secondary M.M.F., JF1= «j /L, will lag behind £•[ by an angle ft1, and have the phase, 180° + ft', represented by the vector O^1. Con- structing a parallelogram of M.M.Fs., with Off as a diag- onal and Oif1 as one side, the other si ...Magnetism
Section titled “Magnetism”CHAPTER XIV. THE ALTERNATING-CURRENT TRANSFORMER. 126. The simplest alternating-current apparatus is the transformer. It consists of a magnetic circuit interlinked with two electric circuits, a primary and a secondary. The primary circuit is excited by an impressed E.M.F., while in the secondary circuit an E.M.F. is induced. Thus, in the primary circuit power is consumed, and in the secondary a corresponding amount ...Alternating current
Section titled “Alternating current”CHAPTER XIV. THE ALTERNATING-CURRENT TRANSFORMER. 126. The simplest alternating-current apparatus is the transformer. It consists of a magnetic circuit interlinked with two electric circuits, a primary and a secondary. The primary circuit is excited by an impressed E.M.F., while in the secondary circuit an E. ...Complex quantities
Section titled “Complex quantities”... ed the self-induc- tance of the transformer ; while the flux surrounding both 194 ALTERNATING-CURRENT PHENOMENA. coils may be considered as mutual inductance. This cross- flux of self-induction does not induce E.M.F. in the second- ary circuit, and is thus, in general, objectionable, by causing a drop of voltage and a decrease of output. It is this cross-flux, however, or flux of self-inductance, which is uti- lized in special transformers, to secure automatic regulation, for constant power, or for constant current, and in this case is exaggera ...Chapter-Local Concept Hits
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| Frequency | 4 | seeded |
| Ether | 2 | seeded |
| Light | 1 | seeded |
Chapter-Local Glossary Hits
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| ether | 2 | seeded |
Equation Candidates
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Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
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theory-calculation-alternating-current-phenomena-1900-fig-094 | transformer is constructed thus : Fig. 94. Let, in Fig. 94, O® = the magnetic flux in intensity and | line 11766 |
theory-calculation-alternating-current-phenomena-1900-fig-102 | Fig. 101. Transformer Diagram with 80° Lead in Secondary Circuit. Fig. 102. 202 | line 11946 |
theory-calculation-alternating-current-phenomena-1900-fig-103 | the locus gives curves of higher order. Fig. 103. Fig. 105 gives the locus of the various quantities when | line 11969 |
theory-calculation-alternating-current-phenomena-1900-fig-104 | from the above by proportionality. Fig. 104. 133. It must be understood, however, that for the pur- | line 12000 |
theory-calculation-alternating-current-phenomena-1900-fig-105 | °f tne transformer. Fig. 105. The resistance and reactance of the primary and the secondary circuit are represented in the impedance by | line 12046 |
theory-calculation-alternating-current-phenomena-1900-fig-106 | z Fig. 106. 137. Separating now the internal secondary impedance | line 12301 |
theory-calculation-alternating-current-phenomena-1900-fig-107 | Generator I, Transformer I Fig. 107. This is represented diagrammatically in Fig. 107. | line 12340 |
theory-calculation-alternating-current-phenomena-1900-fig-108 | 211 Fig. 108. admittance Y0) the exciting current, the other branches of the impedances ZJ + Z7, ZJ1 + Zn, … 2f + Zx, the latter | line 12364 |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- 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.
- 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.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
Promotion Checklist
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