NON-SINUSOIDAL WAVES 131 



unit is connected from line (1), the second, from line (2), and the 

 third, from line (3) to the neutral. 



If the cyclic order of the line voltages is such that the funda- 

 mental component of Fi 2 leads F by 120 degrees what are the 

 line currents? What is the neutral current? What is the total 

 power supplied? 



24. In problem 23 if the cyclic order of the line voltages is such 

 that the fundamental component of F J2 lags F 23 by 120 degrees 

 what are the line currents? What is the neutral current? W hut 

 is the total power supplied? 



25. Three hypothetical impedance units, a resistance, a react- 

 ance, and a condenser are so constructed that at 60 cycles their 

 values may be presented in the complex notation by : Zi = 10+ jO, 

 22 = 04-jlO, 2 3 = j'10. These impedance units are connected 

 between the mains and neutral of a balanced three-phase, 60- 

 cycle circuit. The line voltages are each 230 volts, and the vol- 

 tages between the lines and the neutral are equal and consist of a 

 fundamental and a fifth harmonic which is 0.25 of the 

 fundamental component. The first impedance is connected 

 from line (1), the second, from line (2), and the third, from line 

 (3) to the neutral. If the cyclic order of the line voltages is 

 such that the fundamental component of Fi 2 leads F by 120 

 degrees what are the line currents? What is the neutral current? 

 What is the total power supplied? 



26. In problem 25 if the cyclic order of the line voltages is 

 such that the fundamental component of Fi 2 lags F 2 s by 120 

 degrees what are the line currents? What is the neutral current f 

 What is the total power supplied? 



27. Three hypothetical impedance units, a resistance, a 

 reactor, and a condenser are so constructed that at 60 <>!.- 

 their values may be represented in the complex notation by: 

 Zi= 10-fjO, 2 2 = 0-r-jlO, 2 3 = jlO. These ini units are 

 connected in delta across the lines of a balanced three-phase. 

 60-cycle circuit. The line voltages are each 230 volts and con- 

 sist of a fundamental and a tilth harmonic which is 0.25 of the 

 fundamental component The first impedance is connected 

 between I'm.-, i 'j, the seeond, between lines 2-3, and the third. 

 between lines 3, 1 



It the cyclic or^er of the line voltages is such that the funda- 

 mental component of FU leads F by 120 degrees what are the 



inents? 



