. Theory and calculation of alternating current phenomena . r resolved graphically, in polarcoordinates, by the law of the parallelogram or the polygon ofsine waves. (Fig. 40.) POLAR COORDINATES AND POLAR DIAGRAMS 49 Kirchhoffs laws now assume, for alternating sine waves, theform: (o) The resultant of all the in a closed circuit, as foundby the parallelogram of sine waves, is zero if the counter resistance and of reactance are included. (6) The resultant of all thecurrents toward a distributingpoint, as found by the parallelo-gram of sine waves, is zero. The power equation ex


. Theory and calculation of alternating current phenomena . r resolved graphically, in polarcoordinates, by the law of the parallelogram or the polygon ofsine waves. (Fig. 40.) POLAR COORDINATES AND POLAR DIAGRAMS 49 Kirchhoffs laws now assume, for alternating sine waves, theform: (o) The resultant of all the in a closed circuit, as foundby the parallelogram of sine waves, is zero if the counter resistance and of reactance are included. (6) The resultant of all thecurrents toward a distributingpoint, as found by the parallelo-gram of sine waves, is zero. The power equation expressedgraphically is as follows: The power of an alternating-current circuit is represented inpolar coordinates by the productof the current, I, into the projec-tion of the , E, upon thecurrent, or by the , E, into the projection of the current,/, upon the , or by IE cos d, where 9 = angle of time-phase displacement. 45. The instances represented by the vector representation ofthe crank diagram in Chapter IV as Figs. IG, 17, 18, 19, 20,.


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