TRANSMISSION LINES FOR RADIO SYSTEMS 

 under which condition: 



Pi = 160/2 ( ) ^^atts 



449 



(la) 



The numerical constant in (la) differs somewhat from a result pub- 

 lished some time ago by Carson.-' 



Case II 



An approximation for an unterminated line is a balanced two-wire 

 line bearing- standing waves of the form: 



/x = / cos 

 For this case the power radiated is 



~)r^~>r J 



Po - 60/2 



sin L 



log, (2L) - COIL) + 2 cos M cos (L - il/) — y- + 0.5772 



- 2Ci{A) + ^^ [cos2 .1/ + cos2 (L - M)^ 



- cos2 .1/ - cos2 (L - M) - 2 cos M cos (L - M) 

 + Ci{^U + .42 - L) + a(VL' + A^ + L) 



sin VL2 + ^2 



VL2 + ^2 



watts, (2) 



in which .1/ = 2irm/\. 



If as before it is assumed that the spacing is small and the line long 

 the equation reduces to the following cases: 



Case II-A 



When the current is zero at both ends of the line, then, 



sin L = and sin il/ = ± 1 

 and the radiated power is: 



Po = 120/2 



watts. 



(2a) 



This agrees with a result published by Manneback.^" 



2* John R. Carson, Jour. A. I. E. E., p. 789, October, 1921. 



^ Charles Alanneback, Jour. A. I. E. E., p. 95, February, 1923. 



