STEADILY ALTERNATING CURRENT ON A LONG LINE. 369 



List of Symbols Employed. 



a Linear hyperbolic angle or propagation constant of a uni- 

 form line (hyps/wire km.). 

 B=iC'^ Total susceptance of a line (mhos). 

 b = c^ Linear susceptance of a line. (mhos/w.km.). 

 Be Electric flux density in a dielectric (statgausses, or ^xstat- 



volts/cm.). 

 Bm Magnetic flux density in a dielectric (gausses, or m gil- 

 berts/cm.). 

 p° Phase angle of lag (circular degrees). 



C Total capacitance of a line (farads). 



c Linear capacitance of a line (farads/w. km.). 



Sa,Sb,Sp Position angles at sending end, receiving end, and interme- 

 diate point on a line, in the steady state (hypsZ). 

 dx Small element of line length (km.). 

 EA,BB,EAm Max. cyclic voltage at sending end and at receiving end of a 

 line, in the steady state ; also scalar max. value (volts Z). 

 Erk,Epca Transitory voltage at point P after the feth reflection from 

 B and in the steady state (volts). 

 e, er, es Instantaneous voltage generally, at receiving end, at sending 

 end (volts). 

 6 = 2.718... Napierian base (numeric). 

 / Impressed frequency (cycles per sec). 

 G Total leakance of a line (mhos). 

 g Linear leakance of a line (mhos/w.km.). 

 6 =:0^-\- jO^ Hyperbolic angle of a line and its components (hypsZ). 

 0' =: d^' + jd^' Angular distance of a point on a line from A, the sending 

 end (hypsZ). 

 e" =:d_^' -\- jO^" Angular distance of a point on a line from B the receiving 

 end (hypsZ). 

 Ia,Is Current at sending end of the line (max. cy. amperes Z). 

 lB,Ir Current at receiving end of the line (max. cy. amperes Z). 

 /q Initial outgoing current at /i (max. cy. amperes Z). 

 /pfc, /poo Transitory current at point P after the ^th reflection from 

 B, and in the steady state (amperes Z). 

 i, ir, is Instantaneous current generally, at receiving end, at sending 

 end (amperes Z). 



k Number of arrival wave, or of a 5 reflected wave, at a point' 

 P (numeric). 



K Electric inductivity of a dielectric 



(statgausses/statsvolts-per-cm.). 



i Total inductance of a line (henrys). 



L Length of a line (km.). 



I Linear inductance of a line (henrys/w. km.). 



X Wave length on a line (km.). 



