TABLE FOR TRANSMISSION LINE PHENOMENA. 



181 



13. Constants of an Artificial Electric Line. — If 



2i = complex impedance of the series elements of an artificial 



line, 

 22 = complex impedance of the shunt elements, 

 M = mutual inductance (if any) between adjacent series 



elements, 

 (p = retardation angle of current per section of line, 

 a — real attenuation constant per section of line, and if 



w 



/e let 



and 



P+jU = 



V = 



2l+ 2So 



1 - r— r- 



(41) 

 (42) 



where P and U are real quantities, then ^ 



I. IfV>0, _ _ 



a = sinh-V2F g{h), <p = sinh-i { ± V2V f{h) } 

 with h = U/V. 



II. IfV<0, 



(43) 



(44) 



a = smh-W-2Vf{}i), <p = sin-i {^V-2Vg{h)\ 



with h = U/V. 



These equations are to be employed subject to the following rule 

 regarding the cjuadrant of (p. 



Rule Regarding ip. 



1 Compare Pierce: Electric Oscillations and Electric Waves, p. 296, on which 

 the present results are based. 



