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Chapter 2: Chapter II

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1897
Section IDtheory-calculation-alternating-current-phenomena-1897-chapter-02
Locationlines 1728-1972
Statuscandidate
Word Count901
Equation Candidates In Section17
Figure Candidates In Section0
Quote Candidates In Section0
CHAPTER II INSTAIfTAmiOUB VAI>nES KSD INTSaRAI. VAIiUia. 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 FI9. 4. mwrnaUng ■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 the instan-
... PTER II INSTAIfTAmiOUB VAI>nES KSD INTSaRAI. VAIiUia. 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 FI9. 4. mwrnaUng ■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 ...
... nipolar machines (or by the superposi- tion of alternating waves upon continuous currents, etc.). All inductive apparatus without commutation give ex- clusively alternating waves, because, no matter what con- S. PmmUog WwK. ditions may exist in the circuit, any line of magnetic force, which during a complete period is cut by the circuit, and thereby induces an H.M.F., must during the same period be cut again in the opposite direction, and thereby induce the same total amount of E.M.F. (Obviously, this does not apply to cii-cuits consisting of diff ...
CHAPTER II INSTAIfTAmiOUB VAI>nES KSD INTSaRAI. VAIiUia. 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 FI9. 4. mwrnaUng ■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 ...
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theory-calculation-alternating-current-phenomena-1897-eq-candidate-0026Figs. 4 and 5, the arithmetical average of all the instan-line 1752
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0027This arithmetic mean is either = 0, as in Fig. 4, or itline 1755
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0028mean value = 0.line 1798
theory-calculation-alternating-current-phenomena-1897-eq-candidate-00299. In a sine wave, the relation of the mean to the maxi-line 1817
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0030B^ the sine varies from to OB = 1. Hence the averageline 1825
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0031of the arc to that of the sine ; that is, 1 -=- 2 / a-, and sinceline 1833
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0032Mean value of sine wave -5- maximum value = — -j- 1line 1837
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0033= .63663.line 1841
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  • 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.
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  • Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
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