NON-SINUSOIDAL WAVES 127 



minals? What would a voltmeter indicate when connected 

 between line and neutral? Between adjacent lines? 



5. The phase voltage of a three-phase, Y-connected, alternat- 

 ing-current generator is 3750 volts. This consists of a funda- 

 mental and a third harmonic which is :-5<) p -r < nt. of the funda- 

 mental. What is the line voltage? 



6. The phase voltage of a three-phase, Y-connected, alternat- 

 ing-current generator is 2900 volts. This consists of a funda- 

 mental and a fifth harmonic which is 25 p< r < nt. of the funda- 

 mental. What is the line voltage? 



7. The phase voltage of a 3-phase, Y-connected, alternating- 

 current generator is 3980 volts, while the line voltage is 6600 

 volts at the same time. If it is assumed that the phase voltage con- 

 t ;iins no harmonic higher than the seventh, what is the magnitude of 

 the third harmonic in the phase voltage? 



8. The phase voltage of a three-phase, Y-connected, alternat- 

 ing-current generator is 3010 volts while the line voltage (at the 



- tine time) is 5000 volts. What is the greatest value that a third 

 harmonic component of the phase voltage can have? 



9. The phase voltage of a three-phase, Y-connected, alter- 

 nating-current generator is 138 volts while at the same time the 

 line voltage is 230 volts. If the phases of this generator were con- 

 nected in delta, what would be the unbalanced voltage tending to 

 set up a circulating current in the windings? 



10. Two transformers are arranged after the Scott method 

 <f connection to transform power from two-phase to three-phase. 

 Their ratios of transformation are 1:10 and 1:8.66. 



If there are impressed on the two-phase side electromotive 

 es whose equations are 



ei = 1550 sin wi+500 sin 3 tot, 



and 6j = 1550si: ,)+ 500 sin 3(o>f 



what are the equations for the line voltages on the three-phase 

 side? 



11. In problem 10 if there are impressed on the two-phase side 



1< < tromotive forces whose equations are, 



ei = 1550 sin ut+300 sin 5 tot, 

 and e t = 1550 sin (o*t - ^) +300 sin 5(o>< 



