The Electric Circuit

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65. Three impedance coils, having ohmic resistances of 2, 3, and 4 ohms, respectively, and inductances of 13, 10, and 22 millihenrys, are connected in parallel across a source of 220 v. , 60 cycle alternating voltage. Construct the vector of the resultant current, as in Fig. 119. Ans. No amp. ; cos < = . 495. PROB. 66. Solve the preceding problem for the frequency of 25 cycles per second. Construct both diagrams to the same scale so as to see the influence of frequency. PROB. 67. In problem 65 let the total current be given in magnitude, but not in its phase position ; assume the inductance of the third coil to be unknown. Show how to determine graphically the vector of the current in the third coil, and the position of the vector of the total current. 14. Equivalent Resistance and Reactance. Let a resist- ance r and a reactance x be connected in series across a source of alternating voltage E. Let another resistance r p and a re- actance x f be connected in parallel across the same source.

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