841 
is assumed to be symmetrical. In particular, where twin coaxial cables 
are employed, the values given here apply to one coaxial line only of the 
twin coaxial cable. 
Steady-State Response Calculations. 
3. 
and C. 
The steady-state response of the network of Plate 1 is given by 
(1) 
(2) 
(3) 
Vv 
t ~ 1 
CoV 
C Sin RO w ( 1 # ikm RCO) + m Gcos ROW 
RC w 
where © s 21 f and f is the frequency in cycles per 
second. This is a complex expression and the absolute 
value is used in the calculations.* 
AS W approaches zero, the limiting value of Eq. (1) 
becomes 
ai = 1 = af 
Gave Hearsay C+ Cy 
Wr 
The response of the system at a given frequency 
relative to the limiting response at low frequencies 
is expressed as a relative amplitude which is obtained 
by dividing the absolute value of Eq. (1) by Eq. (2). 
Hence 
Relative _ len 
amplitude Tosi RUG fon RL 
Bg ( 14 ikm RC#) + m cos ROW 
The relative amplitudes are plotted as ordinates in Plates 2, 3, 
4 and 5, against values of RCw as abscissas. The use of the quantity RCW 
permits the application of these curves to any cable of known values of R 
The curves are therefore not limited to a particular type of cable 
¥ It is to be noted that this expression is somewhat more general than 
Eq. (7) of reference (a) because of the use of the constants k and m. 
Moreover, Eq. (7) of reference (a) contains an error in the denominator, 
where the quantity given as 1RCoW should read iR9C9W. 
-3- NOIM 10467 
