Electronic Instrumentation Basic Circuits with OA * In this presentation definitions and examples from Wikipedia, HowStaffWorks and some other sources were used Lecturer: Dr. Samuel Kosolapov Items to be defined/refreshed/discussed • • • • • • • • Basic types of Unipolar Amplifiers Models of Bipolar OA OA741 Problems with Direct connection Importance of Feedback Basic circuits with OA Limitations of “simple formulae” Second Order Effects 2 Basic Types of Unipolar Amplifiers Amplifier Type Voltage VCVS (Voltage Controlled Voltage Source) Current ICIS (Current Controlled Current Source) Circuit Gain Specification Voltage Gain AV Schematics EWB (Sources panel) Voutput Vinput [Dimensionless] Current Gain AI I output I input [Dimensionless] 3 Basic Types of Unipolar Amplifiers Amplifier Type Transconductance VCIS (Voltage Controlled Current Source) Transresistance ICVS (Current Controlled Voltage Source) Circuit Gain Specification Transconductance Gain Gm Schematics EWB (Sources panel) I output Vinput [siemens =mho] Transresistance Gain Rm Voutput I input [ohms] 4 Simple Model of Ideal Bipolar Amplifier (OA) 5 Ideal Amplifier Practical Amplifier 6 OA 741 7 1 5 U3 3 6 2 4 Parameter Name Voltage Gain Input Resistance Output Resistance Symbol Av Rin Rout 741 Example (LM741) [Dimensionless] 50,000-200,000 (Adiff) [Ohm] 0.4 – 2 M Units [Ohm] 100Not specified 7 PSpice Model of OA Av, Rinput, Routput And OTHER parameters Can be edited 8 Direct connection of Practical Voltage Amplifier: (Demonstration of parameters importance) Signal Source (Sensor) Load Practical (Actuator) Voltage Amplifier Sensor is characterized by: Voltage of source of signal Vsignal(t) Internal resistance of signal source Rsignal Practical Voltage Amplifier is characterized by: Input resistance Rin, Output resistance Rout, Voltage gain Av. Actuator is characterized by: Load resistance Rload 9 Direct connection of Practical Voltage Amplifier: Replacement step: Signal Source (Sensor) Load Practical (Actuator) Voltage Amplifier Goal: Vout(t) > Vsignal(t). 10 Manual Calculations (Two Voltage Dividers) RIN RLOAD AV VIN ; VIN VSIGNAL ; VOUT RSIGNAL RIN ROUT RLOAD RIN RLOAD AV VSIGNAL VOUT RSIGNAL RIN ROUT RLOAD System' s Voltage Gain VOUT RIN VSIGNAL RSIGNAL RIN RLOAD AV ROUT RLOAD If RIN >> RSIGNAL and RLOAD>>ROUT then System’s Voltage Gain = AV Otherwise we do not want to use this system!!! Use ALGEBRA, instead of numeric calculations to get PROFESSIONAL results (Explain). 11 Problem with Direct Connection System’s gain depends on: amplifier’s parameters, voltage source’s parameters, and load’s parameters. We have Input and Output LOADING Effect Bad Design Practice. because if we’ll change one of the blocks in mass production, system’s parameters may change in a drastic way. For example: Amplifier’s voltage gain of LM741 in mass production may be in range: 50,000 – 200,000! (Explain Why : Highest Semiconductor purity required) Practically, amplifiers are used with FEEDBACK 12 Feedback: Converting Practical Amplifier to Ideal Amplifier Sensor Actuator Feedback 13 Important Result (to be achieved after a hard work) In the real practical situation, the RESULT will be: VLOAD R2 R2 1 VSIGNAL System' sVoltageGain 1 R1 R1 !!! System’s Voltage Gain is defined only by feedback resistors R1 and R2 !!! (This means that System’s Voltage Gain is INDEPENDENT on parameters of Source, Amplifier and Load!) Art of Electronics: Practical Amplifier Behaves as IDEAL AMPLIFIER 14 How to prove this Important Result To proof this (to solve the problem) we must: 1. Replace sensor, uA741 and actuator to (linear) equivalent circuits 2. Write node’s equations 3. Solve node’s equations (to find VLOAD) 4. Analyze result (and get System’s Voltage Gain) We must provide SYMBOLIC result. Numeric result is not good here! (Explain why) 15 3 + V+ U2 7 Buffer: Equivalent Circuit (remind usage) Vin - V- OUT 2 OS1 5 6 Vout 1 Vin 1.000*Vin Vout==Vin uA741 4 0 OS2 Buffer Usage: Convert Practical Voltage amplifier to Ideal Voltage Amplifier. Practically: Insert buffer BETWEEN sensor and amplifier input and/or BETWEEN amplifier output and actuator Rin = infinity Rout = 0; Voltage Gain = 1.000 16 OA 741. Minimal Set of Parameters 17 Basic OA Configurations: Powering Q: How to connect Laboratory Power supply to OA ? 18 Basic OA Configurations Discuss Limitations of this “Fast Evaluation” formulae 19 Simulation usage Example: “Fast Evaluation” is OK R1 = 1 k; R2 = 10 k;“Expected” Gain = -R2/R1 = -10 Vin = 200 mV pp; Vout = 2 V pp; “Measured” Gain is -10 “Simple formula” can be applied here 20 Simulation usage Example: Problem with Fast Evaluation R1 = 10 ; R2 = 10 k;“Expected” Gain = -R2/R1” = -1000 Vin = 2 mV pp; Vout is ~1.4 Vpp . Gain ~ 700 < 1000 + Some strange phase shift is seen here “simple formula” can NOT be applied in this case (Low Accuracy) 21 Simulation usage Example: Problem with Fast Evaluation R1 = 1 ; R2 = 10 ;“Expected” Gain = -R2/R1” = -10 Vin = 200 mV pp; Vout is Heavily Distorted here. Linear Gain can not be evaluated (Nonlinear case !!!) “simple formula” can NOT be applied in this case 22 Limitations of Electronic Simulation Software Q1: What model is used “inside the simulation” ? A1: Sometimes Beginner/Student cannot know “exactly” Q2: Simulation result: Gain is OK (== +2). Will You sign that the circuit is OK ? A2: No !!! Power supply is not connected (Small letters: Not a bug, Power Supply is connected inside as 741 model default) 23 Basic OA Configurations: Example of Usage 24 Basic OA Configurations (Trans-conductance: Voltage to Current Converter) Here: Gm = 1/R2 25 Basic OA Configurations (Trans-impedance / Trans-resistance) : Current to Voltage Converter 26 Basic OA Configurations Example of Usage Explain “optical” wireless communication system Based on this circuits 27 Basic OA Configurations Example of Usage Explain need for capacitors Explain importance for Arduino usage 28 Basic OA Configurations Example of Usage 29 Basic OA Configurations Example of Usage: Analog Digital ( - Mechanics) 30 Basic OA Configurations And many other Examples of OA Usage: OA 741 (Amplifier) can be used to build many useful circuits. This is why most of this introductory course is dedicated to Amplifiers 31 Second order Effects 741 Models limitations Frequency Effects In order to ensure stability of OA 741 Its frequency response changed in such a manner that Voltage Gain is not very high for the high frequencies (details: Later + course Controlled Systems) Practically: usage of OA741 is limited to AUDIO signals 32 Second order Effects 741 Models limitations Input Offset Voltage and Current Q1: How to modify Model / Equivalent circuit to take into account “offset” effects ? 33 Second order Effects 741 Models limitations Power Supply Effects Important to understand: In the range of Vcc ~4 - 18 V Gain is changing, But still is VERY LARGE Gain of the basic circuits with feedback will not change The magnitude of the input voltage must never exceed the magnitude of the supply voltage or 15 V whichever is less Use voltage supply 12 V max 34 Second order Effects : Input Voltage Limitations The magnitude of the input voltage must never exceed the magnitude of the supply voltage or 15 V whichever is less Use voltage supply 12 V max 35 Second order Effects Input Voltage Limitations: Output Voltage Clipping Q1: Output Voltage is distorted (clipped) here. Why ? Q2: What will happen if SIN is input ? Beware: Not every EWB model “clips” (restricts) output voltage 36 Control Questions • What have I learned ? 37 Literature to read 1. TBD 38