Question

Problem 1 Find the two-port s-parameters for the following circuit if the input and output reference impedance is 502. What are the s-parameters when the input and output reference impedance is changed to 352? Is this network lossless, reciprocal, or symmetric? R-30 Ohms Figure

Answer 1

V ŽR:30-1 Va id then convert 2-parameters and then It is easy to find in to s-parameters V 212 I, 1,20 2,1 = I. 122=0 Vi = 3011, +5%) = 301, + 301, V = 301, + 3017 : 21 - 30 Zig = 30 V = 30(1,+Ix) = 301, +301, 201-30 30 30 30 722 - 30 .

5. (36-ZREP) (200 + Prep) - 312 31 Sva = 2212 380 ; Son = 2221 %865 592 = (21 +2REP) (229-ZREP) _212.221 A = ( 31, +PREP) (222+ PREP) - 21231 ZREF = 50% 1 = ( 30+50) (30+50) - 38 86-30 5500 (30-50) (30+50) - 38 .-2500 5 500 5500 Sia 2 (30)(50) 5500 (30) 50) 3000 5500 5500 3000 5500 (30+50) (30-50) - 30%. 5500 -2500 5500 I-0.45 0.545 0.545 -0.45 S,, - Shop Sa - Sen symmetrical Reciprocal for lo sless condition is Isn't Isallar ;/52/14/so/ 0.45°+0.545º = 0.4941 i ant lostess

I ZREE = 352 A = (30+35) (30+35) - 302 = 65² _ 30² - 1225 = 3325 Sie = ( 30 - 35) (30+35) - 303 3325 - 3325 9 (30)(35) 2/30)(35) 2100 3325 3325 3395 શહe 35) (30 - 35)- 33.25 Syg = 3325 - - 1225 3325 1-0.368 0.63157 [s] =/ 0.6315 -0.368 Si = 522 - symetric Sipasar :: Reciprocal Isult 1921 = 0.3682 +0.63152-0.5342 :: not lossless The network is symetrical & Reciprocal but not lossless.