Question

Bonus Question (5 points total): One type of coaxial circuit used as a lowpass Tiles constructed as follows. A center conductor is machined to have small-diameter sec with a high impedance Zyalternating with low-impedance sections Z. Suppose cac section is exactly one quarter-wave long (24) at a particular frequency f, and the circa is terminated in an impedance Z , which is between Z and Z.(Z<2 2u: iz iz iz iz i Zi IN41 4 I W41 W/4 1 1/4 1 a. (2 points) Is the input impedance Zy much higher than Z, or much lower (check one): Much higher Much lower b. (3 points). Write an algebraic expression for Zin at the frequency f.

Answer 1

General formula of Inpue impedance Zin= Z1 Zi wsiße) + j Zol sinipe) 7 | Zo cosBet iz sinße - - ß- a n = thare difference at e = 1 Zin= 70 [Zu cos (2^y ) + 370 ( sin ( 24 ) ? 1 l Zulos ( 21 ) + 5 zu sing 27 1 Zin=

Z ZL 2 2 ? 10 here Z1 = Zo - Zo= Zn ZF 2 1 Za - 770 Zń for 7 the road is 72 7= z Zi 70 for au load is , zu zly zizo zin

1 1 =랐겠 (HZ) 100 연초 Zin is highly than 2 from above quahun (b expression of Zin Zin = Zh Z1 Zo