CHAPTER V. FREE OSCILLATIONS. 478 

28. Types of waves: standing waves, traveling waves, alter- 

nating-current waves. 478 

29. Conditions and types of free oscillations. 478 

30. Terminal conditions. 480 

31. Free oscillation as standing wave. 481 

32. Quarter-wave and half-wave oscillation, and their equa- 

tions. 482 

33. Conditions under which a standing wave is a free oscilla- 

tion, and the power nodes of the free oscillation. 485 

34. Wave length, and angular measure of distance. 487 

35. Equations of quarter-wave and half-wave oscillation. 489 

36. Terminal conditions. Distribution of current and voltage 

at start, and evaluation of the coefficients of the trigo- 
nometric series. 491 

37. Final equations of quarter-wave and half- wave oscilla- 

tion. 492 

38. Numerical example of the discharge of a transmission line. 493 

39. Numerical example of the discharge of a live line into a 

dead line. 496