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 | 1916 |
| Section ID | theory-calculation-alternating-current-phenomena-chapter-02 |
| Location | lines 1684-2011 |
| Status | candidate |
| Word Count | 1100 |
| 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 9. In a periodically varying function, as an alternating cur- rent, 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 value is used, that is, the square root of the mean square ; 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 the instantaneous values dur-Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”CHAPTER II INSTANTANEOUS VALUES AND INTEGRAL VALUES 9. In a periodically varying function, as an alternating cur- rent, 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 value is used, that is, the square root of the mean square ; and wherever the intensity of an electric wave is mentioned without further reference, the effective value is understood. The maximum value of ...Magnetism
Section titled “Magnetism”... otal as the negative values; that is, whose two half-waves have in rectangular coordinates the same area, as shown in Fig. 4. 11 12 ALTERNA TING-C URRENT PHENOMENA A pulsating wave is a wave in which one of the half- waves pre- ponderates, as in Fig. 5. By electromagnetic induction, pulsating waves are produced only by commutating and unipolar machines (or by the super- position of alternating upon direct currents, etc.). All inductive apparatus without commutation give exclusively alternating waves, because, no matter what conditions may ex ...Alternating current
Section titled “Alternating current”CHAPTER II INSTANTANEOUS VALUES AND INTEGRAL VALUES 9. In a periodically varying function, as an alternating cur- rent, 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 value is used, that is, the square root of the mean square ; and wherever the intensity of an electric wave is mentioned without further reference, the effective value is understood. The ma ...Field language
Section titled “Field language”... curve of instantaneous values, as determined by wave-meter or oscillograph. Measurement of the alternating wave after rectification by a unidirectional conductor, as an arc, gives the inean value with direct-current instruments, that is, instruments employing a permanent magnetic field, and the effective value with alternating- current instruments. Voltage determination by spark-gap, that is, by the striking distance, gives a value approaching the maximum, especially with spheres as electrodes of a diameter larger than the spark- gap.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-eq-candidate-0037 | 5, the arithmetical average of all the instantaneous values dur- | line 1702 |
theory-calculation-alternating-current-phenomena-eq-candidate-0038 | This arithmetic mean is either = 0, as in Fig. 4, or it differs | line 1711 |
theory-calculation-alternating-current-phenomena-eq-candidate-0039 | INSTANTANEOUS AND INTEGRAL VALUES 13 | line 1836 |
theory-calculation-alternating-current-phenomena-eq-candidate-0040 | 10. In a sine wave, the relation of the mean to the maximum | line 1841 |
theory-calculation-alternating-current-phenomena-eq-candidate-0041 | sine varies from 0 to OB = 1. Hence the average variation of | line 1849 |
theory-calculation-alternating-current-phenomena-eq-candidate-0042 | or — ’- 1. The maximum variation of the sine takes place about | line 1856 |
theory-calculation-alternating-current-phenomena-eq-candidate-0043 | erage variation of the arc to that of the sine , that is, 1 -^ -, and | line 1872 |
theory-calculation-alternating-current-phenomena-eq-candidate-0044 | Mean value of sine wave -r- maximum value = — ^ 1 = 0.63663. | line 1874 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-fig-006 | maximum variation of the sine is equal to the variation of the Fig. 6. Fig. 7. | line 1864 |
theory-calculation-alternating-current-phenomena-fig-007 | Fig. 6. Fig. 7. corresponding arc, and consequently the maximum variation of | line 1867 |
Hidden-Gem Quote Candidates
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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.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
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.
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