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1、Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers 7.2 Op Amp Circuits7.3 Active Filter7.4 Op Amp Positive Feedback,Circuits and Analog Electronics,Readings:Gao-Ch7,Ch9;Floyd-Ch6,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Key Words:Op Amp Model I
2、deal Op Amp Op Amp transfer characteristic Feedback Virtual short,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers(Op Amp),Inverting input,At a minimum,op amps have 3 terminals:2 input and 1 output.An op amp also requires dc power to operate.Often,the op amp requires both po
3、sitive and negative voltage supplies(V+and V-).,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Symbol,One of the input terminals(1)is called an inverting input terminal denoted by-The other input terminal(2)is called a non-inverting input terminal denoted by+,Ch7 Operation
4、al Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,The Op Amp Model,The op amp is designed to sense the difference between the voltage signals applied to the two input terminals and then multiply it by some gain factor A such that the voltage at the output terminal is A(v+-v-).The voltage
5、gain A is very large(practically infinite).The gain A is often referred to as the differential gain or open-loop gain.The input resistance Rin is very large(practically infinite).The output resistance Ro is very small(practically zero).,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational
6、Amplifiers,Ideal Op Amp,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,For A741,A=100dB=105,if vo=10V,,Then,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Op Amp transfer characteristic curve,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Ope
7、rational Amplifiers,Op Amp transfer characteristic curve,So far,we have been looking at the amplification that can be achieved for relatively small(amplitude)signals.For a fixed gain,as we increase the input signal amplitude,there is a limit to how large the output signal can be.The output saturates
8、 as it approaches the positive andnegative power supply voltages.In other words,there is limited range across which the gain is linear.,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Review,Ideal op amp characteristics:Does not draw input current so that the input impedanc
9、e is infinite(i.e.,i1=0 and i2=0)The output terminal can supply an arbitrary amount of current(ideal VCVS)and the output impedance is zero The op amp only responds to the voltage difference between the signals at the two input terminals and ignores any voltages common to both inputs.In other words,a
10、n ideal op amp has infinite common-mode rejection.A is or can be treated as being infinite.,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,What happens when“A”is very large?,Ch7 Operational Amplifier
11、s and Op Amp Circuits,7.1 Operational Amplifiers,Suppose A=106,R1=9R,R2=R,Closed-loop gain:determined by resistor ratio insensitive to A,temperature,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Why did this happen?,Ch7 Operational Amplifiers and Op Amp
12、Circuits,7.1 Operational Amplifiers,Negative feedback,Observe,under negative feedback,analysis method under negative feedback!,So,we say there is a virtual short between the two terminals(“+”and“-”).,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Ch7 Oper
13、ational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,When R1=0,R2=,Buffer:voltage gain=1,Voltage Follower,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifie
14、rs,Negative feedback,We can adjust the closed-loop gain by changing the ratio of R2 and R1 The closed-loop gain is(ideally)independent of op amp open-loop gain A(if A is large enough)and we can make it arbitrarily large or small and of desired accuracy depending on the accuracy of the resistors.,Ch7
15、 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,The terminal 1 is a virtual ground since terminal 2 is grounded.,Inverting configuration,This is a classic example of what negative feedback does.It takes an amplifier with very large gain and through negative f
16、eedback,obtain a gain that is smaller,stable,and predictable.In effect,we have traded gain for accuracy.This kind of trade off is common in electronic circuit design as we will see more of later.,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Inverting co
17、nfiguration,Input Resistance:Assuming an ideal op amp(open-loop gain A=infinity),in the closed-loop inverting configuration,the input resistance is R1.,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Inverting configuration,Output Resistance:,Roa is usuall
18、y small and so Rout is negligible when A is large,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Negative feedback,Inverting configuration,We can model the closed-loop inverting amplifier(with A=infinite)with the following equivalent circuit using a voltage-controlled volt
19、age source,Ch7 Operational Amplifiers and Op Amp Circuits,7.1 Operational Amplifiers,Homework,1)Design a circuit to,2)Find the vo=?,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Key Words:Subtracting Amplifiers Summing Amplifiers Intergrator Differentiator,Ch7 Operational Amplif
20、iers and Op Amp Circuits,7.2 Op Amp Circuits,Inverting Configuration with General Impedances,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Let,Consider this circuit:,Subtraction!,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Another way of solving use superp
21、osition,Subtracting Amplifiers,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Another way of solving use superposition,Subtracting Amplifiers,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Another way of solving use superposition,Subtracting Amplifiers,Ch7 Ope
22、rational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Subtracting Amplifiers,Another way of solving use superposition,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Subtracting Amplifiers,Let,Let,vo1,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Summing
23、 Amplifiers,For node N,,Let,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Weighted Summer,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Example 1,Design an summer which has an output voltage given by vO=1.5vs1-5vs2+0.1vs3。,we have,,Let,。,Let,,Ch7 Operational
24、 Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Example 1,Design an summer which has an output voltage given by vO=1.5vs1-5vs2+0.1vs3。,Solution 2:,Let,Because,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Lets build an intergrator,Lets start with the following insight:,But w
25、e need to somehow convert voltage vI to current.,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,First try use resistor,When is vO small compared to vR?,for good integratorRC 1,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Theres a better way,Ch7 Operational A
26、mplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Theres a better way,But,vO must be very small compared to vR,or else,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Intergrator,How about in the frequency domain?,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,
27、Intergrator,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Intergrator,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Intergrator,While the DC gain in the previous integrator circuit is infinite,the amplifier itself will saturate.To limit the low-frequency gai
28、n to a known and reliable value,add a parallel resistor to thecapacitor.,What does the magnitude response look like?,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Now,lets build a differentiator,Lets start with the following insights:,But we need to somehow convert current to vo
29、ltage.,Ch7 Operational Amplifiers and Op Amp Circuits,7.2 Op Amp Circuits,Differentiator,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Key Words:Basic Filter Responses Low-Pass Filter High-Pass Filter Band-Pass Filter Band-Stop Filter,Ch7 Operational Amplifiers and Op Amp Circuits
30、,7.3 Active Filter,Basic Filter Responses,voltage gain,Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Low-Pass Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,High-Pass Filter,Ch7 Operat
31、ional Amplifiers and Op Amp Circuits,7.3 Active Filter,Advantages of Filter,where,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Low-Pass Filter,-20dB/decade,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Low-Pass Filter,First-order(one-pole)Filter,Second-order(tw
32、o-pole)Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Low-Pass Filter,Voltage-controlled voltage source(VCVS)filiter,A,For simplicity,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,High-Pass Filter,Transfer functions:,Circuit:RC,Frequency domain,Ch7 Operati
33、onal Amplifiers and Op Amp Circuits,7.3 Active Filter,Band-Pass Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Band-Stop Filter,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Exp.2,For the circuit shown,show that what it is filter?,(a),The Inverting First-o
34、rder Low-Pass Filter.,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Exp.2,For the circuit shown,show that what it is filter?,(b),The Inverting First-order High-Pass Filter.,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Exp.2,For the circuit shown,show that what
35、it is filter?,(c),The Non-Inverting Band-Stop Filter(Second-order).,Ch7 Operational Amplifiers and Op Amp Circuits,7.3 Active Filter,Exp.2,For the circuit shown,show that what it is filter?,The Inverting Band-Pass Filter.(Second-order),The Inverting High-Pass Filter.(Second-order),Ch7 Operational Am
36、plifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,Key Words:Positive Feedback The Comparator Oscillator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,Positive Feedback,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,Positive Feedback,
37、Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,The op amp is often used as a comparator.The output voltage exhibits two stable states.The output state depends on the relative value of one input voltage compared to the other input voltage.,Threshold voltage
38、s,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,Ch7 Operational Amplifier
39、s and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator with Positive Feedback,Positive feedback is often us
40、ed with comparator circuits.The feedback is applied from the output to the non-inverting input of the op amp.,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator with Positive Feedback,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,
41、The Comparator(Schmidt trigger),Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator(Schmidt trigger),When vi(0,,When viVTH1,vOVO-0,,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator(Schmidt trigger),Ch7 Operational Ampli
42、fiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator(Schmidt trigger),Without hysteresis,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Comparator(Schmidt trigger),Oscillator can create a clock,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Am
43、p Positive Feedback,The Comparator(Schmidt trigger),Theres a better way-triangular-wave generator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator(RC Oscillator),Positive FeedbackLead-lag network,Op Amp Circuits,Ch7 Operational Amplifiers and Op
44、Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,-,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,-,Ch7 Operational Ampli
45、fiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,The phase shift through the network is 0 for,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,Loop gain of 1 causes a sustained constant output,Ch7 Operational Ampl
46、ifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The Wien-Bridge Oscillator,All practical methods to achieve stability for feedback oscillators require the gain to be self-adjusting.This requirement is a form of automatic gain control.,Negative temperaturecoefficient,Ch7 Operational Amplifier
47、s and Op Amp Circuits,7.4 Op Amp Positive Feedback,The LC Oscillator,Admittance,-Quality Factor,Impedance,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The LC Oscillator,Resistors Circuit,Inductance Circuit,Capacitance Circuit,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The RC(Phase-Shift)Oscillator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The LC Oscillator,Ch7 Operational Amplifiers and Op Amp Circuits,7.4 Op Amp Positive Feedback,The LC Oscillator,
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