Chapter 2: Instantaneous Values And Integral Values
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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-02 |
| Location | lines 1367-1605 |
| Status | candidate |
| Word Count | 895 |
| Equation Candidates In Section | 15 |
| Figure Candidates In Section | 2 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER II INSTANTANEOUS VALUES AND INTEGRAL VALUES. 8. IN a periodically varying function, as an alternating current, we have to distinguish between the instantaneous value, which varies constantly as function of the time, and the integral value, which characterizes the wave as a whole. As such integral value, almost exclusively the effective Fig. 4. Alternating Wave. value is used, that is, the square root of the mean squares ; and wherever the intensity of an electric wave is mentioned without further reference, the effective value is understood. The maximum value of the wave is of practical interest only in few cases, and may, besides, be different for the two half-waves, as in Fig. 3. As arithmetic mean, or average value, of a wave as in Figs. 4 and 5, the arithmetical average of all theSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER II INSTANTANEOUS VALUES AND INTEGRAL VALUES. 8. IN a periodically varying function, as an alternating current, we have to distinguish between the instantaneous value, which varies constantly as function of the time, and the integral value, which characterizes the wave as a whole. As such integral value, almost exclusively the effective Fig. 4. Alternating Wave. value is used, that is, the square root of the mean squares ; and wherever the intensity of an electric wave is mentioned without further reference, the effective value is und ...Magnetism
Section titled “Magnetism”... wave whose positive values give the same sum total as the negative values ; that is, whose two half-waves have in rectangular coordinates the same area, as shown in Fig. 4. A pulsating wave is a wave in which one of the half- waves preponderates, as in Fig. 5. By electromagnetic induction, pulsating waves are pro- duced only by commutating and unipolar machines (or by the superposition of alternating upon direct currents, etc.). All inductive apparatus without commutation give ex- clusively alternating waves, because, no matter what con- Fig. 5. ...Alternating current
Section titled “Alternating current”CHAPTER II INSTANTANEOUS VALUES AND INTEGRAL VALUES. 8. IN a periodically varying function, as an alternating current, we have to distinguish between the instantaneous value, which varies constantly as function of the time, and the integral value, which characterizes the wave as a whole. As such integral value, almost exclusively the effective Fig. 4. Alternating Wave. value is used, that is, the square root of the mean squares ; and wherever the intensity of an electric wave is mentioned without further reference, the effectiv ...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 |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0037 | Figs. 4 and 5, the arithmetical average of all the instan- | line 1390 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0038 | This arithmetic mean is either = 0, as in Fig. 4, or it | line 1393 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0039 | mean value = 0. | line 1432 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0040 | 9. In a sine wave, the relation of the mean to the maxi- | line 1448 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0041 | B, the sine varies from 0 to OB = 1. Hence the average | line 1458 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0042 | of the arc to that of the sine ; that is, 1 -f- 2 / 77-, and since | line 1466 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0043 | Mean value of sine wave -r- maximum value = • — • -f- 1 | line 1472 |
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0044 | = .63663. | line 1476 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1900-fig-008 | mum value is found in the following way : — Fig. 8. Let, in Fig. 6, AOB represent a quadrant of a circle with radius 1. | line 1452 |
theory-calculation-alternating-current-phenomena-1900-fig-007 | found in the following way : Fig. 7. Let, in Fig. 7, AOB represent a quadrant of a circle | line 1503 |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- 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.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
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