ELECTRONIC DEVICES. Assist. prof. Laura-Nicoleta IVANCIU, Ph.D. C9 Applications with OpAmp - 1
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1 ELECTONIC DEVICES Assist. prof. Laura-Nicoleta IVANCIU, Ph.D. C9 Applications with OpAmp -
2 C9 Applications with OpAmp - Contents Voltage domain conersion circuits Capacitiely coupled amplifiers Op-amp amplifiers operated from a single power supply Integrators and differentiators actie filters Laura-Nicoleta IVANCIU, Electronic deices
3 C9 Applications with OpAmp - Preiously on ED (C8): Laura-Nicoleta IVANCIU, Electronic deices 3
4 C9 Applications with OpAmp - Basic applications of OpAmps with negatie feedback Inerting/non-inerting amplifier (C7, L) Differential amplifier (C8, L) Summing amplifier (inerting/non-inerting) (C8) Other applications of OpAmps with negatie feedback: Voltage domain conersion circuits (C9) Capacitiely coupled amplifiers (C9) Op-amp amplifiers operated from a single power supply (C9, L) Integrators and differentiators actie filters (C9) Half-wae and full-wae precision rectifiers (C0) Precision peak detectors (C0) Current sources (C0) Logarithmic and exponential amplifiers (C0) Circuits for multiplication and diision (C0) Laura-Nicoleta IVANCIU, Electronic deices 4
5 C9 Applications with OpAmp - Voltage domain conersion circuits Linear conersion of the oltage domain cd cd ; cd O O ; min Omax min max inerting amplifier cdmin Omax cd max O min non-inerting amplifier cd max O max cd min O min Laura-Nicoleta IVANCIU, Electronic deices Circuits? 5
6 C9 Applications with OpAmp - Voltage domain conersion circuits Linear conersion of the oltage domain inerting amplifier cdmin Omax cd max O min V EF cd ' _ O non-inerting amplifier cd max cd min O max O min Laura-Nicoleta IVANCIU, Electronic deices cd V EF ' _ O Why is V EF necessary? 6
7 C9 Applications with OpAmp - Voltage domain conersion circuits Inerting oltage domain conersion amplifier V EF cd ' _ O cd min cd max Omax O min V O EF = cd = O min V EF Laura-Nicoleta IVANCIU, Electronic deices cd max 7
8 C9 Applications with OpAmp - Voltage domain conersion circuits Inerting oltage domain conersion amplifier V EF cd ' _ O cd min cd max Omax O min V O EF = cd = O min V EF Laura-Nicoleta IVANCIU, Electronic deices cd max = O max cd max O min cd min O = cd min max O = cd max min = ' V V EF EF 8
9 C9 Applications with OpAmp - Voltage domain conersion circuits Inerting oltage domain conersion amplifier Example (;7)V ( ; 6)V cd O V EF ' _ O cd VTC Values for resistors V EF Laura-Nicoleta IVANCIU, Electronic deices 9
10 C9 Applications with OpAmp - Voltage domain conersion circuits Non-inerting oltage domain conersion amplifier cd ' _ O cdmin Omin V EF cdmax Omax VTC Values for resistors V EF Laura-Nicoleta IVANCIU, Electronic deices 0
11 C9 Applications with OpAmp - Capacitiely coupled amplifiers I (t) = V I i (t) To do: amplify only the ariable signal, i (t) Solution: differential amplifier (C8) capacitiely coupled amplifier o ( t) = ( ) i t ole of 3? Laura-Nicoleta IVANCIU, Electronic deices
12 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration How can we amplify the entire i (t) (not just the positie halfwae), in the case of unipolar supply? Laura-Nicoleta IVANCIU, Electronic deices
13 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration Solution: translate the VTC V O =V PS / V PS * V PS /A V PS /(*A ) -V PS /(*A ) * * * I ' = I V BIAS Laura-Nicoleta IVANCIU, Electronic deices 3
14 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration Solution: translate the VTC V PS V O =V PS / V PS V BIAS I ' = I V BIAS equialence in steady-state regime obtaining V BIAS Laura-Nicoleta IVANCIU, Electronic deices 4
15 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration i V BIAS V PS V BIAS = V PS O ( ) = i VBIAS i VBIAS = Problem: V BIAS is also amplified (dc gain is too high) Possible solution: to implement Laura-Nicoleta IVANCIU, Electronic deices O = i VBIAS V BIAS 5
16 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration Equialent circuit in steady-state regime 0K V BIAS 6 V dc V PS 0K i 5.K 5K Complete circuit V BIAS 6 V dc Laura-Nicoleta IVANCIU, Electronic deices O = ( V ) i BIAS V BIAS O = i * VBIAS A, ac = / A, dc = A, ac A, dc 6
17 C9 Applications with OpAmp - OpAmp amplifiers operated from a single power supply Non-inerting configuration 0K O = ( V ) i BIAS V BIAS 0K O = i * V BIAS i 5.K 5K A, dc A, ac A, ac = / A, dc = Equialent ac circuit? Equialent dc circuit? Inerting configuration? Laura-Nicoleta IVANCIU, Electronic deices 7
18 C9 Applications with OpAmp - Integrators and differentiators actie filters Integrator actie LPF Time domain analysis ( t) I i( t) = Cd c = idt t t I ( ) ( ) ( ) ( ) ( t) O t = C t = i t dt C (0) O t = dt C C O = I C Problem: Solution: t ( t) ( t) dt (0) 0 0 C 0 C (0) C time constant, integrating constant The op-amp can become saturated due to the dc offset oltage and / or biasing currents, because there is no NF in dc Introduce a NF path in dc Laura-Nicoleta IVANCIU, Electronic deices 8
19 C9 Applications with OpAmp - Integrators and differentiators actie filters Integrator actie LPF Integrator with NF in dc (lossy integrator) - large enough to be neglected when compared to Z frequency!to be used in practical applications! Laura-Nicoleta IVANCIU, Electronic deices 9
20 C9 Applications with OpAmp - Integrators and differentiators actie filters Integrator actie LPF Frequency domain analysis ( jω) Z = ( jω) O ech A ( jω) = I Z = ech = jω C jω C A ( ) jω = jω C Example: = kω = 00 kω C = 00pF Laura-Nicoleta IVANCIU, Electronic deices 0
21 C9 Applications with OpAmp - Integrators and differentiators actie filters Differentiator actie HPF The circuit acts as a noise amplifier because of the deriation of the input signal. i ( t) A O ( t) ( t) di = C dt di = i = C dt ( j ) A ( jω) ( jω) O ω = = = Z I ( jω ) = ωc ( t) jωc Laura-Nicoleta IVANCIU, Electronic deices C small, in series with C, used in practical applications Actie high-pass filter f 0 = f 0 = π C
22 C9 Applications with OpAmp - Summary The OpAmp can also be used in more specialized applications, such as: Voltage domain conersion circuits Capacitiely coupled amplifiers Op-amp amplifiers operated from a single power supply Integrators and differentiators actie filters Next week: (Een more) Applications with OpAmp - To do: enjoy the free days! Laura-Nicoleta IVANCIU, Electronic deices
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