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lecture 41

lecture 41 - 1 1 Summary of Lecture#41 • Definition of...

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Unformatted text preview: 1 1 Summary of Lecture #41 12/03/2010 • Definition of two-port circuits • Open-circuited impedance para. [Z] and z ij (s) – [Z] by matrix partitioning – Two-dependent source equivalent circuit – Terminated two port circuits – Z in , Z out and voltage gain – Examples • Short-circuited admittance para. [Y] and y ij (s) – [Y] by matrix partitioning – Two-dependent source equivalent circuit – Terminated two port circuits – Y in , Y out , voltage gain and current gain – Examples 2 Two-port circuits • A two-port circuit has two sets of lead wires or two sets of terminals. → two ports • Current entering a terminal of a port must leave from the other terminal of the same port. • Open-circuited impedance parameters, [Z], z ij • Short-circuited admittance parameters, [Y], y ij • Hybrid parameters, [H], h ij • Transmission parameters, [T], t ij • g-parameters 3 Two-port circuits Impedance parameters [Z] Admittance parameters [Y] Hybrid parameters [H] Transmission parameters [T] g-parameters (not shown) = 2 1 22 21 12 11 2 1 V V y y y y I I = 2 1 22 21 12 11 2 1 V I h h h h I V = 2 1 22 21 12 11 2 1 I I z z z z V V - = 2 2 22 21 12 11 1 1 I V t t t t I V Ω S 4 Two-port circuits [Y] [Z] [H] [T] = 2 1 22 21 12 11 2 1 I I z z z z V V = 2 1 22 21 12 11 2 1 V V y y y y I I = 2 1 22 21 12 11 2 1 V I h h h h I V - = 2 2 22 21 12 11 1 1 I V t t t t I V S Ω h 11 in Ω , h 22 in S h 12 and h 21 are dimensionless. t 12 in Ω , t 21 in S t 11 and t 22 are dimensionless. [Z]- 1 = [Y] 5 = = 1 ) s ( Y 1 ] T [ ) s ( Z ) s ( Z ) s ( Z ) s ( Z ] Z [ ], Y [ = -- = 1 ) s ( Z 1 ] T [ ], Z [ , ) s ( Y ) s ( Y ) s ( Y ) s ( Y ] Y [ = a / 1 a ] T [ ], Z [ ], Y [ Y(s) = 1/Z(s) Examples of passive two-port circuits -- = a / 1 a ] T [ ], Z [ ], Y [ 6 1 1 2 2 Z 1 Z Z [T ] Y 1 + = 3 3 2 2 1 Z [T ] Z Y 1 Z = + , Z Z Z Z Z ] Z [ 2 2 2 2 1 + = + = 2 3 2 2 2 Z Z Z Z Z ] Z [ [Y], [Y], 2 7 1 2 3 1 3 1 3 3 1 2 1 2 3 Z (Z Z ) Z Z 1 [Z] , [T] Z Z Z (Z Z ) Z Z Z + = + + + 1 2 2 2 2 3 Z Z Z [Y], [Z] , [T] Z Z Z + = + 1 2 2 2 2 3 Y Y Y [Y] , Y Y Y +- = - +...
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lecture 41 - 1 1 Summary of Lecture#41 • Definition of...

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