354 KENNELLY-NABESHIMA— ESTABLISHING A 



state is directly related to the transient transmission and reflection 

 coefficients, at that end, during the preliminary state. 



7. The process of transmitting power along an alternating-cur- 

 rent line may be simply conceived of as the rate of delivery, at 

 the sending end, of magnetic and electric fluxes, with their neces- 

 sarily contained energies. 



Appendix I. 



0)1 the Regular Attenuation of Sinusoidal Waves over a Smnoth 



Uniform Line Loaded zvith an Impedance at the. 



Receiving End. 



In Fig. 3, let the smooth uniform line AB be voltaged at A and 

 loaded at B with an impedance o- vector ohms (or ohms Z )• The 

 switch is closed at A without splash, on a single- frequency alter- 

 nator of negligible internal impedance and frequency f'^, generat- 

 ing I volt maximum cyclic e.m.f. The line has a total conductor 

 impedance Z ^=R -\- jLm ohms Z , and a total dielectric admittance 

 of Y =G -\- jCm mhos Z , where 



i?^ total conductor resistance (ohms), 

 L = total conductor inductance (henrys), 

 G^ total dielectric conductance (mhos), 

 C^ total dielectric capacitance (farads), 

 co = 2 7r/ (radians per sec). 



Required the development with time of voltage and current at the 

 arbitrary point P, distant 6' hyps Z from A, and 9" hyps Z from B, 

 the total angle subtended by the line AB being 



d=ff + e" = yfzy=e^^ie. hyps z. (19) 



The surge impedance of the line is 



Z 



(ohms Z). (20) 



E.m.f. Waves or Electrostatic Flux Waves. — The initial out- 

 going w^ave of e.m.f. at A, when ^ = o, is represented by a vector 



