TABLE FOR TRANSMISSION LINE PHENOMENA. 



181 



13. Constants of an Artificial Electric Line. — If 



21 = 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 

 we let 



and 



P+jU = 



v = 



22- MJO)' 

 1 - /72_ p2 



(41) 

 (42) 



where P and U are real quantities, then ^ 



I. IfV>0, _ _ 



a = smh-W2V g{h), <p = sinh-i {±V2F/(A)} 



with k = U/V. 



11. If V<0, 



(43) 



(44) 



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



with h = U/V. 



These equations are to be employed subject to the following rule 

 regarding the quadrant of (p. 



Rule Regarding (p. 



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

 the present results are based. 



