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0 EE 1270: Introduction to Electric Circuits Lecture 13: Operational Amplifiers Part 1 Chapter 5 The Operational Amplifiers Sections 5.1,5.2, 5.3 EE 1270 Introduction to Electric Circuits Suketu Naik Operational Amplifiers 1 Purpose 1) Amplify AC/DC voltage (or current). 2) Perform addition, subtraction, multiplication, division, differentiation, and integration of signals EE 1270 Introduction to Electric Circuits Suketu Naik Operational Amplifiers: Applications 2 1) Amplify audio signals 2) Filter unwanted signals (frequencies) 3) And many more... Audio Preamplifier Subwoofer Filter EE 1270 Introduction to Electric Circuits Suketu Naik 3 Operational Amplifiers Pin Diagram Positive Power Supply Negative Power Supply EE 1270 Introduction to Electric Circuits Suketu Naik 4 Operational Amplifiers Symbol & Notation ip in EE 1270 Introduction to Electric Circuits io Suketu Naik 5 OpAmp: Circuit Model Output voltage in linear region v p vn vo Avd A(v p vn ) vo Open loop gain (without feedback) vp Input Resistance Output Resistance + vo - vn EE 1270 Introduction to Electric Circuits Suketu Naik 6 OpAmp Characteristics vp vo + vn - An Ideal Op amp has infinite open-loop gain, infinite input resistance and zero output resistance When Op amp is connected in the circuit... v p ip vn in vo For an ideal OpAmp vp = vn (voltages at positive input terminal and negative input terminal are equal to each other) ip= in = 0 (currents entering the positive and negative input terminals are zero) EE 1270 Introduction to Electric Circuits Suketu Naik Example 5.1 a) 7 a) Find vo if va=1 V, vb=0 V EE 1270 Introduction to Electric Circuits Suketu Naik AP5.1 a) 8 a) Find vo if vs=0.4, 2.0, 3.5, -0.6, -1.6, -2.4 Q: Which values of vs will cause op amp to saturate? EE 1270 Introduction to Electric Circuits Suketu Naik 9 p5.4 a) & (b) 40 5 2 10 a) Find vo if va = 1.5 V and vb = 0 V b) Find vo if va = -0.5 V and vb = 0 V EE 1270 Introduction to Electric Circuits Suketu Naik 10 Op-Amp Configurations 1) Inverting Amplifier 2) Non-inverting Amplifier 3) Voltage Follower (or buffer) 4) Summing Amplifier 5) Difference Amplifier EE 1270 Introduction to Electric Circuits Suketu Naik 11 Inverting Amplifier vo Rf Rs vs 1) Output and Input signals have opposite polarity (180 ° phase shift) 2) Inverting Amplifier provides negative voltage gain EE 1270 Introduction to Electric Circuits Suketu Naik Example 5.2: Design of an Inverting Amplifier EE 1270 Introduction to Electric Circuits 12 Suketu Naik p5.8: Design of an Inverting Amplifier EE 1270 Introduction to Electric Circuits 13 Suketu Naik