ELECTRIC OSCILLATIONS AND ELECTRIC WAVES. 269 



wires of one mile of the line to give a leakage loss equal to 2 

 per cent of the wire loss in a pure wave. Ans. 0.00408 henry per 

 mile, 0.00707 microfarad per mile, nnd 1,032,000 ohms. 



30. A io,ooo-volt battery of negligible resistance is connected 

 across the end of the line of problem 29 so as to produce on the 

 line a rectangular wave o.i mile long. Find (a) energy of wave* 

 (6) wire loss in watts, (c) leakage loss in watts, (d) total energy 

 lost in wires during passage of wave to distant end of line, (e) 

 total energy lost by leakage during passage of wave to distant 

 end of line. Ans. (a) 0.0707 joule, (b) 485 watts, (c) 9.7 watts, 



(d) 0.0521 joule, and (e) 0.001042 joule. 



Note. It must not be forgotten that the total energy loss is to be calculated 

 approximately by assuming that the rate of loss remains constant and equal to its 

 initial value. 



31. Inductance is added to the 2O-mile line of problem 30 

 to give a total inductance four times as great as the bare line 

 alone. The 10,000- volt battery is connected for a sufficient time 

 to give on this loaded line a rectangular wave o.i mile long, as in 

 problem 30. Find (a) energy of wave, (&) wire loss in watts, (c) 

 leakage loss in watts, (d) total energy lost in wires during passage 

 of wave to distant end of line, and (e) total energy lost by leakage 

 during passage of wave to distant end of line. Ans. (a) 0.0707 

 joule, (b) 121 watts, (c) 9.7 watts, (d) 0.026 joule, and (e) 0.00208 

 joule. 



32. Inductance is added to the line of problem 30 to give dis- 

 tortionless transmission, and the 10,000- volt battery is connected 

 so as to give on the line a rectangular wave o.i mile long. Find 

 (a) energy of wave, (b) wire loss in watts at the start, (c) leakage 

 loss in watts at the start, (d) total energy lost in wires during 

 transit of wave, assuming rate of wire loss to keep its initial value, 

 and (e) total energy lost by leakage during transit of wave, 

 assuming rate of leakage loss to keep its initial value. Ans. (a) 

 0.0707 joule, (b) 9.7 watts, (c) 9.7 watts, (d) 0.00737 joule, and 



(e) 0.00737 joule. 



