. Theory and calculation of alternating current phenomena . Fig. 6. Fig. 7. corresponding arc, and consequently the maximum variation ofthe sine bears to its average variation the same ratio as the av-erage variation of the arc to that of the sine, that is, 1 -^ -, andsince the variations of a sine function are sinusoidal also, we haveMean value of sine wave -r- maximum value = —^ 1 = TT The quantities, current, , magnetism, etc., arein reality mathematical fictions only, as the components of theentities, energy, power, etc.; that is, they have no inde-pendent existence, but app
. Theory and calculation of alternating current phenomena . Fig. 6. Fig. 7. corresponding arc, and consequently the maximum variation ofthe sine bears to its average variation the same ratio as the av-erage variation of the arc to that of the sine, that is, 1 -^ -, andsince the variations of a sine function are sinusoidal also, we haveMean value of sine wave -r- maximum value = —^ 1 = TT The quantities, current, , magnetism, etc., arein reality mathematical fictions only, as the components of theentities, energy, power, etc.; that is, they have no inde-pendent existence, but appear only as squares or products. Consequently, the only integral value of an alternating wavewhich is of practical importance, as directly connected with the me-chanical system of units, is that value which represents the samepower or effect as the periodical wave. This is called the effective 14 ALTERNATING-CURRENT PHENOMENA value. Its square is equal to the mean square of the periodicfunction, that is: The effective value of an alternating wave, or th
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