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Chapter 7 Operational-Amplifier and its Applications SJTU Zhou Lingling 1 Outline • • • • • • • • • • Introduction The 741 Op-Amp Circuit The ideal Op Amp The inverting configuration The noninverting configuration Integrator and differentiator The antoniou Inductance-simulation Circuit The Op Amp-RC Resonator Bistable Circuit Application of the bistable circuit as a comparator SJTU Zhou Lingling 2 Introduction • Analog ICs include operational amplifiers, analog multipliers, A/D converters, D/A converters, PLL, etc. • A complete op amp is realized by combining analog circuit building blocks. • The bipolar op-amp has the general purpose variety and is designed to fit a wide range of specifications. • The terminal characteristics is nearly ideal. SJTU Zhou Lingling 3 The 741 Op-Amp Circuit • • • • • • General description The input stage The intermediate stage The output stage The biasing circuits Device parameters SJTU Zhou Lingling 4 SJTU Zhou Lingling 5 General Description • 24 transistors, few resistors and only one capacitor • Two power supplies • Short-circuit protection SJTU Zhou Lingling 6 The Input Stage • The input stage consists of transistors Q1 through Q7. • Q1-Q4 is the differential version of CC and CB configuration. • High input resistance. • Current source (Q5-Q7) is the active load of input stage. It not only provides a high-resistance load but also converts the signal from differential to single-ended form with no loss in gain or common-mode rejection. SJTU Zhou Lingling 7 The Intermediate Stage • The intermediate stage is composed of Q16, Q17 and Q13B. • Common-collector configuration for Q16 gives this stage a high input resistance as well as reduces the load effect on the input stage. • Common-emitter configuration for Q17 provides high voltage gain because of the active load Q13B. • Capacitor Cc introduces the miller compensation to insure that the op amp has a very high unit-gain frequency. SJTU Zhou Lingling 8 The Output Stage • The output stage is the efficient circuit called class AB output stage. • Voltage source composed of Q18 and Q19 supplies the DC voltage for Q14 and Q20 in order to reduce the cross-over distortion. • Q23 is the CC configuration to reduce the load effect on intermediate stage. • Short-circuit protection circuitry Forward protection is implemented by R6 and Q15. Reverse protection is implemented by R7, Q21, current source(Q24, Q22) and intermediate stage. SJTU Zhou Lingling 9 The Output Stage (a) The emitter follower is a class A output stage. (b) Class B output stage. SJTU Zhou Lingling 10 The Output Stage Wave of a class B output stage fed with an input sinusoid. Positive and negative cycles are unable to connect perfectly due to the turn-on voltage of the transistors. This wave form has the nonlinear distortion called crossover distortion. To reduce the crossover distortion can be implemented by supplying the constant DC voltage at the base terminals. SJTU Zhou Lingling 11 The Output Stage QN and QP provides the voltage drop which equals to the summer of turn-on voltages of QN and QP. This circuit is call Class AB output stage. SJTU Zhou Lingling 12 The Biasing Circuits • Reference current is generated by Q12, Q11 and R5. • Wilder current provides biasing current in the order of μA. • Double-collector transistor is similar to the twooutput current mirror. Q13B provides biasing current for intermediate stage, Q13A for output stage. • Q5, Q6 and Q7 is composed of the current source to be an active load for input stage. SJTU Zhou Lingling 13 Device Parameters • For npn transistors: I s 10 14 A, 200,VA 125V • For pnp transistors: I s 10 14 A, 50,VA 50V • Nonstandard devices: I SA 0.25 10 14 A I SA 0.75 10 14 A Q14 and Q20 each has an area three times that of a standard device. SJTU Zhou Lingling 14 The Ideal Op Amplifier symbol for the op amp SJTU Zhou Lingling 15 The Ideal Op Amplifier The op amp shown connected to dc power supplies. SJTU Zhou Lingling 16 Characteristics of the Ideal Op Amplifier • • • • • • Differential input resistance is infinite. Differential voltage gain is infinite. CMRR is infinite. Bandwidth is infinite. Output resistance is zero. Offset voltage and current is zero. a) No difference voltage between inverting and noninverting terminals. b) No input currents. SJTU Zhou Lingling 17 Equivalent Circuit of the Ideal Op Amp SJTU Zhou Lingling 18 The Inverting Configuration The inverting closed-loop configuration. Virtual ground. SJTU Zhou Lingling 19 The Inverting Configuration SJTU Zhou Lingling 20 The Inverting Configuration SJTU Zhou Lingling 21 The Inverting Configuration • • • Shunt-shunt negative feedback Closed-loop gain depends entirely on passive components and is independent of the op amplifier. Engineer can make the closed-loop gain as accurate as he wants as long as the passive components are accurate. SJTU Zhou Lingling 22 The Noninverting Configuration The noninverting configuration. Series-shunt negative feedback. SJTU Zhou Lingling 23 The Noninverting Configuration SJTU Zhou Lingling 24 The Voltage follower (a) The unity-gain buffer or follower amplifier. (b) Its equivalent circuit model. SJTU Zhou Lingling 25 The Weighted Summer SJTU Zhou Lingling 26 The Weighted Summer Ra Rc Ra Rc Rc Rc vo v1 ( )( ) v2 ( )( ) v3 ( ) v4 ( ) R1 Rb R2 Rb R3 R4 SJTU Zhou Lingling 27 A Single Op-Amp Difference Amplifier Linear amplifier. Theorem of linear Superposition. SJTU Zhou Lingling 28 A Single Op-Amp Difference Amplifier Application of superposition Inverting configuration R2 vo1 vI 1 R1 SJTU Zhou Lingling 29 A Single Op-Amp Difference Amplifier Application of superposition. Noninverting configuration. vo 2 (1 SJTU Zhou Lingling R2 R4 )( )vI 2 R1 R4 R3 30 Integrators The inverting configuration with general impedances in the feedback and the feed-in paths. SJTU Zhou Lingling 31 The Inverting Integrators The Miller or inverting integrator. SJTU Zhou Lingling 32 Frequency Response of the integrator SJTU Zhou Lingling 33 The op-amp Differentiator SJTU Zhou Lingling 34 The op-amp Differentiator Frequency response of a differentiator with a time-constant CR. SJTU Zhou Lingling 35 The Antoniou Inductance-Simulation Circuit SJTU Zhou Lingling 36 The Antoniou Inductance-Simulation Circuit SJTU Zhou Lingling 37 The Op amp-RC Resonator An LCR second order resonator. SJTU Zhou Lingling 38 The Op amp-RC Resonator An op amp–RC resonator obtained by replacing the inductor L in the LCR resonator of a simulated inductance realized by the Antoniou circuit. SJTU Zhou Lingling 39 The Op amp-RC Resonator Implementation of the buffer amplifier K. SJTU Zhou Lingling 40 The Op amp-RC Resonator • Pole frequency 0 1 • LC6 1 C4C6 R1R3 R5 R2 Pole Q factor Q 0C6 R6 R6 C6 R2 C4 R1R3 R5 SJTU Zhou Lingling 41 Bistable Circuit • • • The output signal only has two states: positive saturation(L+) and negative saturation(L-). The circuit can remain in either state indefinitely and move to the other state only when appropriate triggered. A positive feedback loop capable of bistable operation. SJTU Zhou Lingling 42 Bistable Circuit The bistable circuit (positive feedback loop) The negative input terminal of the op amp connected to an input signal vI. R1 v vo vo R1 R2 SJTU Zhou Lingling 43 Bistable Circuit The transfer characteristic of the circuit in (a) for increasing vI. Positive saturation L+ and negative saturation L- VTH L SJTU Zhou Lingling 44 Bistable Circuit The transfer characteristic for decreasing vI. VTL L SJTU Zhou Lingling 45 Bistable Circuit The complete transfer characteristics. SJTU Zhou Lingling 46 A Bistable Circuit with Noninverting Transfer Characteristics R2 R1 v v I vo R1 R2 R1 R2 SJTU Zhou Lingling 47 A Bistable Circuit with Noninverting Transfer Characteristics The transfer characteristic is noninverting. VTH L( R1 R2) VTL L( R1 R2) SJTU Zhou Lingling 48 Application of Bistable Circuit as a Comparator • • • • • Comparator is an analog-circuit building block used in a variety applications. To detect the level of an input signal relative to a preset threshold value. To design A/D converter. Include single threshold value and two threshold values. Hysteresis comparator can reject the interference. SJTU Zhou Lingling 49 Application of Bistable Circuit as a Comparator Block diagram representation and transfer characteristic for a comparator having a reference, or threshold, voltage VR. Comparator characteristic with hysteresis. SJTU Zhou Lingling 50 Application of Bistable Circuit as a Comparator Illustrating the use of hysteresis in the comparator characteristics as a means of rejecting interference. SJTU Zhou Lingling 51 Making the Output Level More Precise For this circuit L+ = VZ1 + VD and L– = –(VZ2 + VD), where VD is the forward diode drop. SJTU Zhou Lingling 52 Making the Output Level More Precise For this circuit L+ = VZ + VD1 + VD2 and L– = –(VZ + VD3 + VD4). SJTU Zhou Lingling 53 Generation of Square Waveforms Connecting a bistable multivibrator with inverting transfer characteristics in a feedback loop with an RC circuit results in a square-wave generator. SJTU Zhou Lingling 54 Generation of Square Waveforms The circuit obtained when the bistable multivibrator is implemented with the positive feedback loop circuit. SJTU Zhou Lingling 55 Waveforms at various nodes of the circuit in (b). This circuit is called an astable multivibrator. Time period T = T1+T2 1 ( L L ) T1 RC ln 1 1 (L L ) T2 RC ln 1 1 T 2RC ln 1 SJTU Zhou Lingling 56 Generation of Triangle Waveforms SJTU Zhou Lingling 57 Generation of Triangle Waveforms SJTU Zhou Lingling 58