Thevenin Self-Review • What is a Thevenin Equivalent Circuit? o Draw a generic Thevenin equivalent circuit o Discuss and write down 3 good uses for a Thevenin equivalent circuit, or for the Thevenin theorem Op Amps • How might you find the maximum power that can be delivered to any load from any circuit? EGR 220, Chapter 5 February 18, 2016 o Why is this an important question? 2 Overview 741 Op Amp Circuit Diagram • Equivalent circuits o Thevenin equivalent circuit o Ideal Op Amp circuit diagram • Op Amp circuit analysis • Op Amp wiring diagrams o Lab 4 4 3 • http://www.uoguelph.ca/~antoon/gadgets/741/741.html 1 Op Amp Equivalent Circuit Diagram Op Amp Equivalent Circuit Diagram Ia +Vsource (+15V) +Vsource (+15V) Iin 1 Iout Iin 2 –Vsource (– 15V) Ib –Vsource (– 15V) 5 6 Op Amp Equivalent Circuit Diagram 741 Op Amp Circuit Diagram 8 7 • http://www.uoguelph.ca/~antoon/gadgets/741/741.html 2 Op Amp Circuit Analysis Transistor Analogy • The Golden rules apply to the Op Amp input: • 3 terminal device o 2 terminals – power and ground o 3rd terminal – input • Golden rule #1? o Input voltage: • Golden rule #2? o Input current: • Also of interest: • Iout = ? 9 Op Amp Circuit Analysis 10 Find voltage gain vo/vs • Analyze Op Amp circuits o Apply Golden Rules o KCL for input stage (often) o KVL or V-divider for output stage (often) • Gain o Ratio of output:input • Feedback o Connect output to input o “Feed” the output “back” to the input 11 12 3 Inverting Amplifier Non-inverting Amplifier Find voltage gain, vo/vi Find voltage gain, vo/vi 13 Op Amps Do Math: Difference Amplifier à find vo and io 14 Lab: 741 Op Amp On A Chip +15V -15V 15 16 4 Circuit Diagram with Wiring Information 17 Op Amp Chip Drawing Lab (sample) 18 The Real Thing: Op Amp Chip 19 20 5 Notice Color Scheme, Layout & Feedback Resistor Across the OpAmp Powering and Wiring an Op Amp +15V +15V -15V -15V Power Supply: You will use ±25V and +6V connections 22 21 Power Supply Connections Lab 4 Circuit 1 +Vcc= +15V To pin ___? Your Vin 0<Vin<6V To pin ___? -Vcc= -15V To pin __? Ground outputs tied together To pin ___? 23 24 6 Lab 4 Pre-Lab Lab 4 Circuit 2 • This is a LONG lab • You must complete the pre-lab and this week it will be ‘graded’ as correct or incorrect o Wiring diagrams • Something possible that shows you are thinking about this o Gain & output expressions – correct or not o Sketch of output – correct or not 25 26 Summary • Uses for op amps o Amplifying an electrical signal o Basic math functions – analog computers • Analysis with op amps uses: o The Golden Rules o Often use: KCL and/or Voltage-divider • Concepts of gain and feedback 27 7