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## Introduction to Electronic Measuring Systems

by: Brook Moore II

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# Introduction to Electronic Measuring Systems E E 212

Marketplace > Pennsylvania State University > Electrical Engineering > E E 212 > Introduction to Electronic Measuring Systems
Brook Moore II
Penn State
GPA 3.88

Andrew Mayers

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COURSE
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Andrew Mayers
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Class Notes
PAGES
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KARMA
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## Popular in Electrical Engineering

This 0 page Class Notes was uploaded by Brook Moore II on Sunday November 1, 2015. The Class Notes belongs to E E 212 at Pennsylvania State University taught by Andrew Mayers in Fall. Since its upload, it has received 20 views. For similar materials see /class/233172/e-e-212-pennsylvania-state-university in Electrical Engineering at Pennsylvania State University.

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Date Created: 11/01/15
EE 212 Lessons 21 amp 22 Ideal Operational Amplifiers OpAmps Overview These last two lessons cover operational amplifiers which are the cornerstone components of many modern circuit designs Objectives By the end on these lessons you should be able to CI Explain the conditions implied when an OpAmp is called ideal I Solve problems for voltages and currents for inverting and noninverting amplifier configurations Reading Assignment lwill email web links for background Operational Ampli er Operational Ampli er Fundamentals Ideal OpAmp Model Inverting OpAmp Circuit NonInverting OpAmp Circuit Operational Ampli ers An ampli er takes an input signal and produces an output signal that is a scaled version of the input signal The scaling can occur with respect to the voltage the current or both Operational Ampli ers Operational Ampli ers RS Amplifier Rom RS AmPh er 132 vs Rm Vin RIN Rs vs Rm gm Avm Ry EYL AWN RL Vs RIN VIN AVIN RL VL VL Rom RL 7 A R R I VL 7 L IN 0c AVS ROUT RL R1N Rs We want to relate Vent to Vin If RIN gt oo RIN gt 1 VIN vs Rm Rs Operational Ampli ers Operational Ampli ers Am Lifter Am li er FE P ROUT Vs RIN RS P 132 Vs Rm vm V RIN RS RIN RS R A R R A R Vs m V L V Am RL VS m Em L N Am RL VL 7 ROUT RL VL 7 ROUT RL quotquotquotquotquotquotquot quot Rm gt oo quotnunquotuquot RIN gt oo VL A VS RL VL A VS ROUT gt 0 ROUT RL A V R ROUT gt 0 gt A VS ROUT RL OpAmp Fundamentals AV0L Open Loop Gain OpAmp Fundamentals AVOL Open Loop Gain N 105 107 typically listed with units VmV Very high gain requires low signal voltage to operate and is very sensitive to noise OpAmp Fundamentals General Purpose OpAmp 741 typical source voltage i 15 V output limited to i 14 V Slew rate 2 maximum rate of change for signal z 05 Vus RIN m 5 M9 OpAmp Fundamentals im W gt When used in open loop mode high gain large noise not very useful unless signals are very quotcleanquot Ideal OpAmp Fundamentals im Vt Due to high input impedance no current ows into the or terminals Ideal OpAmp Fundamentals im0 gt Since no current ows in there is no voltage difference between the terminals im 0 V Ideal OpAmp Fundamentals Output resistance is set to zero and gain is assumed to be in nte Inverting OpAmp Circuit Ideal OpAmp Fundamentals Basic assumptions used for circuit analysis 1 voltage between amp terminal is 0 2 no current ows into terminal 3 no current ows into terminal Inverting OpAmp Circuit R1 A l i Vin Vout L 3 LabelinputnodeA VAVVD000V Inverting OpAmp Circuit Inverting OpAmp Circuit iIN VIN R1 iR2 R2 gt A Consider KCL at node A iIN x iR2 gt iIN iR2 Inverting OpAmp Circuit Inverting OpAmp Circuit i i 7 7 7 R2 2 IN VRZ 39 Vout 7gt Vout 391R2R2 1IN 7 7 7 Vin Vout 391R2R2 39lINRZquot R R2 1 39 VRZ 39 Vout 0 o o 0 R2 NonInverting OpAmp Circuit iR1 R A M In k V o Vout 3 VAVIN VA iRl R1 gt iRl VINR1 Fmd VA iRl VIN R1 iRz K2 in NonInverting OpAmp Circuit 1R1 A Vm Vout VA VRz Vom 0 VIN We Vout iRlRi iRsz Vout Voltage Follower What is the purpose of this circuit v v Vin but Vout v so Vout Vin Ran gt no so Op Amp does not draw current Op Amp can provide enhanced current Op Amp isolates output stage from input Summing Ampli er V51 R51 1 RF IF gt 392 131 IszISN IF V31 31 Vout 39RFIF 39RF Differential OpAmp Circuit

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