PROBLEMS. 389 



the reactance is 3 ohms delivers 100 amperes to a non-inductive 

 receiving circuit, the electromotive force across the terminals of 

 the receiving circuit being 10,000 volts, (a) What is the value 

 of the generator voltage, and (fr) what is the phase difference 

 between generator voltage and the voltage across the receiving 

 circuit? Ans. (a) 10,404.3 volts, (ti) i 39'. 



43. A sensibly non-inductive transmission line having a resist- 

 ance of 4 ohms delivers 100 amperes of current to a receiving 

 circuit. The phase difference between voltage and current in 

 the receiving circuit being sensibly 90, the voltage across the 

 terminals of the receiving circuit is 10,000 volts. What is the 

 value of the generator voltage? Ans. 10,008 volts. 



44. If the transmission line specified in problem 42 were to 

 deliver 100 amperes of current at 10,000 volts to a condenser, 

 what would be the value of the generator voltage ? Ans. 9,703. 1 

 volts. 



45. The transmission line specified in problem 42 delivers 100 

 amperes of current at 10,000 volts to a receiving circuit of which 

 the power factor is 0.7. What is the value of the generator 

 voltage? Ans. 10,494.6 volts. 



46. Two condensers, each of negligible resistance, have capac- 

 ities of 0.5 and 0.05 microfarad respectively. The two con- 

 densers are connected in series to i,ioo-volt alternating-current 

 mains. What is the electromotive force between the terminals 

 of each condenser ? Ans. 100 volts, and 1,000 volts respectively. 



Note. The student should give the physical argument of this problem. 



47. An electrostatic voltmeter has a capacity of 0.0006 micro- 

 farad when its deflection is a, and 0.0008 microfarad when its 

 deflection is b. The electromotive force between the terminals 

 of the instrument is 75 volts when its deflection is a, and 125 

 volts when its deflection is b. An auxiliary condenser of 0.007 

 microfarad capacity is connected in series with the instrument. 

 Find the electromotive forces necessary to produce deflections 

 a and b. Ans. 81.4 volts, and 139.3 volts, respectively. 



48. A direct-reading electrostatic voltmeter having 0.0006 



