E80 Spring 2014Op Amps CircuitsE80 Lecture 4.1: Basic Electrical Measurements
Agenda: Operational AmplifierooooooooRecap: Non-inverting amplifier and unity gain bufferInverting amplifier (multiplication)Summing amplifier (add and subtract)Differentiator and integratorDifference amplifierInstrumentation amplifierTransimpedance amplifierActive filters2E80 Lecture 4.2: Basic Electrical Measurements
Recap: Opamp ModelV V-V V-(2) 𝑖 0, 𝑖 0E80 Lecture 4.3: Basic Electrical Measurements31 v v
Recap: Non-inverting Amplifier Non-inverting amplifier is designed to produce positivevoltage gain𝑅𝑓𝑣0 (1 )𝑣𝑖𝑅1E80 Lecture 4.4: Basic Electrical Measurements4Special case:R1 , Rf 0Unity-gain buffer
Inverting amplifier Inverting amplifier reverses the polarity of the inputsignal while amplifying (or attenuating) itE80 Lecture 4.5: Basic Electrical MeasurementsR1vi5vo Rf
Summing amplifier Summing Amplifier is an op amp circuit that combinesseveral inputs and produces an output that is theweighted sum of the inputs.RfRf Rfvo v1 v2 v3 R2R3 R1E80 Lecture 4.6: Basic Electrical Measurements6Q: Is it possible to construct a non-inverting summing amp?
Opamp Circuit With CapacitorInverting amplifierE80 Lecture 4.7: Basic Electrical Measurements7What does this circuit do?How is Vo related to Vi?
Opamp Circuit With CapacitorIntegrator circuitt1vo (t ) vi ( )d vC (0) RC 0E80 Lecture 4.8: Basic Electrical Measurements8What does this circuit do?How is Vo related to Vi?
ExampleE80 Lecture 4.9: Basic Electrical Measurements9What does the output waveform look like?
Solving Differential Equation UsingOpamp Circuit𝑣0 3𝑣0 2𝑣0 4cos(10𝑡)E80 Lecture 4.10: Basic Electrical Measurements10RC 1 sec
Difference Amplifier Difference amplifier is a device that amplifies thedifference between two inputs but rejects any signalscommon to the two inputs.1 𝑅2 /𝑅1𝑅2𝑣0 𝑣 𝑣1 𝑅3 /𝑅4 2 𝑅1 1E80 Lecture 4.11: Basic Electrical Measurements𝑅1 𝑅2 𝑎𝑛𝑑 𝑅3 𝑅4𝑣0 𝑣2 𝑣111Special case:
Instrumentation AmplifierE80 Lecture 4.12: Basic Electrical Measurements
Instrumentation Amplifier Application(1) Only amplify difference(2) Infinite Input resistance zero Output resistanceE80 Lecture 4.13: Basic Electrical Measurements
Transimpedance amplifier forphotodiodeRphotonVbiasDivo𝑣0 𝑖 𝑅 Much easier to measure voltage than current Provide large amplificationE80 Lecture 4.14: Basic Electrical Measurements
Active filterE80 Lecture 4.15: Basic Electrical Measurements15 RC and OpAmp ( 1MHz, bulky inductorin RLC filters) 1st order filters– Low pass– High pass– Inverting– Non-inverting 2nd order low pass filter
Active Filter Example𝑅𝑓 /𝑅𝑖𝐻 𝑗𝜔 1 𝑗𝜔𝑅𝑓 𝐶𝑓Say Rf RiLow pass filterSketch Bode PlotE80 Lecture 4.16: Basic Electrical Measurements
Active Filter Example1 𝑅2 /𝑅3𝐻 𝑗𝜔 1 𝑗𝜔𝑅1 𝐶1E80 Lecture 4.17: Basic Electrical Measurements17Non-inverting 1st order low pass active filter
Active Filter ExampleSay Rf Ri𝑗𝜔𝑅𝑓 𝐶𝑖𝐻 𝑗𝜔 1 𝑗𝜔𝑅𝑖 𝐶𝑖Sketch Bode PlotE80 Lecture 4.18: Basic Electrical Measurements18High pass filter
Active Filter Example𝐻 𝑗𝜔 𝑅2)𝑅31 𝑗𝜔𝑅1 𝐶1𝑗𝜔𝑅1 𝐶1 (1 E80 Lecture 4.19: Basic Electrical Measurements19Non-inverting 1st order high pass active filter
Active Filter ExampleSay R2 R1 𝑗𝜔𝑅2 𝐶1𝐻 𝑗𝜔 (1 𝑗𝜔𝑅1 𝐶1 )(1 𝑗𝜔𝑅2 𝐶2 )Bandpass filterE80 Lecture 4.20: Basic Electrical Measurements20Sketch Bode Plot
2nd order Active FilterSallen-Key Low Pass FilterFind frequency response function of unity-gain Sallen KeyTopologyE80 Lecture 4.21: Basic Electrical Measurements211𝐻 𝑗𝜔 1 𝑗𝜔(𝑅1 𝑅2 )𝐶1 𝜔 2 𝑅1 𝑅2 𝐶1 𝐶2
E80 Lecture 4.2: Basic Electrical Measurements Agenda: Operational Amplifier o Recap: Non-inverting amplifier and unity gain buffer o Inverting amplifier (multiplication) o Summing amplifier (add and subtract) o Differentiator and integrator o Difference amplifier o Instrumentation amplifier o Transimpedance amplifier o Active filters 2
E80 Bobcat Compact Excavator Specifications Operational Specifications Operating Weight - Canopy, standard arm, rubber tracks, bucket 18689 lb (8477 kg) - Add for steel tracks 110 lb (55 kg) Ground Pressure - w/ standard 17.7" (450 mm) rubber tracks 5.7 psi (39.0 kPa) Ground Pressure - w
Two-Year Calendar 7 Planning Calendars SCampus 2011-12 January 2012 May 2012 September 2012 February 2012 June 2012 October 2012 March 2012 July 2012 November 2012 April 2012 August 2012 December 2012 S M T W T F S
1) Explain the term ‘Spring Boot’. It is a Spring module that offers Rapid Application Development to Spring framework. Spring module is used to create an application based on Spring framework which requires to configure few Spring files. 2) Mention some advantages of Spring Boot Here are som
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