ELECTRIC WAVE-FILTERS 329 



of A'^ are 



fa = 3000, ra = 1848; 



and 



/ft = 5000, n = 3387. 



Then from (44), R = 1564.6 ohms, and /o = 5638 cycles per second. 

 Because of the close agreement between these two sets of results, 

 their approximate mean values will here be used in both basic networks, 



namely 



R = 1565 ohms, 



and 



/o = 5635 cycles per second. 



With these values in (40), Ln, = 88.38 mh., and Cok = .03611 mf. We 

 have then for the mid-load basic netn'ork the inductance and capacity 

 elements: 



.3615 Ln = 31.95 mh.; .2335 L^ = 20.64 mh.; 



.1646 Lifc = 14.55 mh.; .1494 L^ = 13.20 mh.; 



.5110 Cat = .01845 mf.; .7250 Cat = .02618 mf.; 



and for the mid-section basic network 



.5110 Lu- = 45.16 mh.; .7250 Lu- = 64.08 mh.; 



.3615 Cot = .01305 mf.; .2335 Cu = .008431 mf.; 



.1646 Cofc = .005943 mf.; .1494 du = .005395 mf.; 



wath their locations as in Fig. 17. 



The impedance characteristics of these basic networks, Zi and Z-2, 

 were computed directly from the finite networks on the assumption of 

 small coil and condenser dissipation constants, d = d' = .005. Com- 

 paratively small reactance components begin to appear above 4500 

 cycles per second. Increasing the amount of dissipation in the 

 reactance elements would tend to increase the reactance components of 

 Zi and Zo at the upper frequencies. 



The design of the single supplementary network w^as made from low 

 frequency data representing the average values of {Ki — Zi) and 

 (ivo — Zo). The data are 



/i = 100, ri + ixi = 152 - ilOO, 

 and 



/2 = 300, r. + ix2 = 20 - i252. 



From formulas (50) we obtain 



flo = 7839.0; ai = 233.12; 



bi. = 17.600-10--; b-z = 30.481 -10-*. 



