ee250_HW8_sol - EE 250 SOLUTIONS TO HOMEWORK 8 Pr 1. [10...

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SOLUTION
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SOLUTION The network above can be simplified into the following two 2-port networks in series Network A Network B When two 2-port networks are connected in series, the Z-parameters of the combined network are merely the sum of the Z-parameters of the individual networks. 2 11 21 2 21 12 1 0 12 21 1 2 For Network A, (2 4) (2 4) 3 (because the network is all-passive and hence, reciprocal) To find , consider that at node x, the current splits equally into and 22 equ I z z V zz I II zI V = =+ +=Ω = == 1 1 1 1 2' 1 1 1 21 als the potential difference between nodes y and y' The potential at node y equals 2 2 The potential at node y' equals 4 2 2 () ( 2 ) Therefore, xx yy x x I VV I I I VVV VI V I I ⎛⎞ −× =− ⎜⎟ ⎝⎠ =−= −− − = = 2 2 12 1 0 1 I V I =
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11 21 12 Network B is a T-network As demonstrated in class, for a T-network with three branches , and , (where is the middle branch), then the Z-parameters of the T-network are given by ; AB C B ZZ Z Z zZZ zz =+ == 22 11 22 21 12 11 11 11 22 ; Therefore, for network B, 1 1
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This note was uploaded on 12/20/2010 for the course E E 240 taught by Professor Shankar during the Spring '10 term at University of Alberta.

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ee250_HW8_sol - EE 250 SOLUTIONS TO HOMEWORK 8 Pr 1. [10...

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