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EE 230 Lecture 7 Spring 2010

# EE 230 Lecture 7 Spring 2010 - EE 230 Lecture 7 Amplifiers...

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EE 230 Lecture 7 Amplifiers

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Quiz 6 Determine the maximum value of the controlling parameter, K, of the dependent source that can be used if the circuit shown is to be stable. .
And the number is ? 1 3 8 4 6 7 5 2 9

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And the number is ? 1 3 8 4 6 7 5 2 9 ?
Quiz 6 Determine the maximum value of the controlling parameter, K, of the dependent source that can be used if the circuit shown is to be stable. . Solution: = + = + + OUT A A IN OUT V V 3 G KV G V sC 3 G G V R 1 G = For convenience define Will find the poles of the circuit to determine stability criterion

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Quiz 6 Determine the maximum value of the controlling parameter, K, of the dependent source that can be used if the circuit shown is to be stable. . Solution: = + = + + OUT A A IN OUT V V 3 G KV G V sC 3 G G V R 1 G = For convenience define Solving we obtain the transfer function () + = 3 K 4 G sC G s T For stability, pole must be in LHP 0 < = 3C 4 K G p 4 K <
Step Response of First-Order Networks ( ) I 0 pt -T OUT X= K + ( - K ) e Claim: A system with a 1 st order lowpass transfer function with a pole p and a dc gain K has a unit step response of where I is the initial value of the output () -Kp Ts = s-p Review from Last Time

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The Complex Plane Re Im Left Half Plane Right Half Plane Review from Last Time
Stability A system is stable iff all poles lie in the LHP A system is stable if any bounded input causes a bounded output Stability can be a desirable or an undesirable property depending upon the application Instability is the compliment of stability Review from Last Time

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Stability of Linear Systems Is stability good or bad? It depends upon what is desired Many times instability is very undesirable But often instability is very desirable as well But regardless, it is almost always necessary to know whether a system is stable or unstable ! Review from Last Time
Amplifiers An ideal amplifier is linear and has a frequency independent transfer function that does not change with source or load impedance Ideally, OUT IN X = K X K is termed the amplifier gain K=T(s) Often K “>” 1 (when X IN an X OUT of same dimensions) Review from Last Time

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EE 230 Lecture 7 Spring 2010 - EE 230 Lecture 7 Amplifiers...

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