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Tim Green, Linear Applications Measuring Zo in SPICE Preferred Test Circuits and Why? Brought to you by: The Wizard of Zo

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Tim Green, Linear Applications Measuring Zo in SPICEAol Test

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Tim Green, Linear Applications Measuring Zo in SPICEAol Test

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Tim Green, Linear Applications Measuring Zo in SPICE Closed Loop Gain

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Tim Green, Linear Applications Measuring Zo in SPICE Closed Loop Gain

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Tim Green, Linear Applications Measuring Zo in SPICE 1/Beta Test

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Tim Green, Linear Applications Measuring Zo in SPICE 1/Beta Test

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Tim Green, Linear Applications Measuring Zo in SPICE Aol, 1/Beta, Closed Loop Gain

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit - Unloaded

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo (dB) Test Circuit - Unloaded Below fx Zo is not valid fx

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo (ohms) Test Circuit - Unloaded fx Below fx Zo is not valid

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit – Loaded Source

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit – Loaded Source Below fx Zo is not valid fx

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit – Loaded Sink

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit – Loaded Sink fx Below fx Zo is not valid

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Tim Green, Linear Applications Measuring Zo in SPICE Final Zo Test Circuit – Complete Zo Curves Below fx Zo is not valid fx

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Tim Green, Linear Applications Appendix – Ro Derivation Op Amp Model for Derivation of R OUT

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Tim Green, Linear Applications Appendix – Ro Derivation = V FB /V OUT = [V OUT (R I / {R F + R I })]/V OUT = R I / (R F + R I ) R OUT = V OUT /I OUT V O = -V E Aol V E = V OUT [R I /(R F + R I )] V OUT = V O + I OUT R O V OUT = -V E Aol + I OUT R O V OUT = -V OUT [R I /(R F + R I )] Aol+ I OUT R O V OUT + V OUT [R I /(R F + R I )] Aol = I OUT R O V OUT = I OUT R O / {1+[R I Aol/(R F +R I )]} R OUT = V OUT /I OUT =[I OUT R O / {1+[R I A OL /(R F +R I )]}]/I OUT R OUT = R O / (1+Aol ) Derivation of R OUT (Closed Loop Output Resistance)

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Tim Green, Linear Applications Appendix – Ro Derivation OPA353 Specifications R O = 40 R OUT G=10) = 10 = 29.54dB = x30

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Tim Green, Linear Applications Appendix – Ro Derivation OPA353 R OUT Calculation R O = 40 R OUT G=10) = 10 = 29.54dB = x30 V OUT = I OUT R O / {1+[R I Aol/(R F +R I )]}

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Tim Green, Linear Applications Appendix – Ro Derivation R OUT vs R O R O does not change when feedback is used to close the loop Closed loop feedback forces V O to increase/decrease The increase/decrease in V O appears at V OUT as a reduction in R O R OUT is the net effect of R O and closed loop feedback controlling V O

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