CHAPTER II. LONG DISTANCE TRANSMISSION LINE. 279 

3. Relation of wave length of impressed frequency to natural 

frequency of line, and limits of approximate line cal- 
culations. 279 

4. Electrical and magnetic phenomena in transmission line. 281 

5. The four constants of the transmission line : r, L, g, C. 282 

6. The problem of the transmission line. 283 

7. The differential equations of the transmission line, and 

their integral equations. 

8. Different forms of the transmission line equations. 287 

9. Equations with current and voltage given at one end of 

the line. 289 
10. Equations with generator voltage, and load on receiving 

circuit given. 291 


CONTENTS. xix 

PAGE 

11. Example of 60,000-volt 200-mile line. 292 

12. Comparison of result with different approximate calcula- 

tions. 294 

13. Wave length and phase angle. 295 

14. Zero phase angle and 45-degree phase angle. Cable of 

negligible inductance. 296 

15. Examples of non-inductive, lagging and leading load, and 

discussion of flow of energy. 297 

16. Special case: Open circuit at end of line. 299 

17. Special case: Line grounded at end. 304 

18. Special case : Infinitely long conductor. 305 

19. Special case: Generator feeding into closed circuit. 306 

20. Special case: Line of quarter-wave length, of negligible 

resistance. 306 

21. Line of quarter-wave length, containing resistance r and 

conductance g. 309 

22. Constant-potential — constant-current transformation by 

line of quarter-wave length. 310 

23. Example of excessive voltage produced in high-potential 

transformer coil as quarter- wave circuit. 312 

24. Effect of quarter-wave phenomena on regulation of long 

transmission lines; quarter-wave transmission. 313 

25. Limitations of quarter-wave transmission. 314 

26. Example of quarter-wave transmission of 60,000 kw. at 60 

cycles, over 700 miles. 315