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Chapter 11 Amplifiers: Specifications and External Characteristics 1. Use various amplifier models to calculate amplifier performance for given sources and loads. 2. Compute amplifier efficiency. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics 3. Understand the importance of input and output impedances of amplifiers. 4. Determine the best type of ideal amplifier for various applications. 5. Specify the frequency-response requirements for various amplifier applications. 6. Understand linear and nonlinear distortion in amplifiers. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics 7. Specify the pulse-response parameters of amplifiers. 8. Work with differential amplifiers and specify common-mode rejection requirements. 9. Understand the various sources of dc offsets an design balancing circuits. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger amplitude. vo t Av vi t ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Inverting versus Noninverting Amplifiers Inverting amplifiers have negative voltage gain, and the output waveform is an inverted version of the input waveform. Noninverting amplifiers have positive voltage gain. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Voltage-Amplifier Model ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Current Gain io Ai ii io vo RL Ri Ai Av ii vi Ri RL ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Power Gain Po G Pi Po Vo I o 2 Ri G Av Ai Av Pi Vi I i RL ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics CASCADED AMPLIFIERS Av Av1 Av 2 ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Simplified Models for Cascaded Amplifier Stages First, determine the voltage gain of the first stage accounting for loading by the second stage. The overall voltage gain is the product of the gains of the separate stages. The input impedance is that of the first stage, and the output impedance is that of the last ELECTRICA L stage. ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics POWER SUPPLIES AND EFFICIENCY Ps VAA I A VBB I B ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Current-Amplifier Model ELECTRICA L ENGINEERING Principles and Applications Aisc is the current gain of the amplifier with the output short circuited. Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Transconductance-Amplifier Model Gmsc iosc vi Connect a short circuit across the output terminals and analyze the circuit to determine Gmsc. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Transresistance-Amplifier Model Rmoc vooc ii Open circuit the output terminals and analyze the circuit to determine Rmoc. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics IMPORTANCE OF AMPLIFIER IMPEDANCES IN VARIOUS APPLICATIONS Some applications call for amplifiers with high input (or output) impedance while others call for low input (or output) impedance. Other applications call for amplifiers that have specific input and/or output impedances. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics The proper classification of a given amplifier depends on the ranges of source and load impedances with which the amplifier is used. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics FREQUENCY RESPONSE Vo Av Vi ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Determining Complex Gain vi t 0.1 cos2000t 30 vo t 10 cos2000t 15 Vo 1015 Av Vi 0.1 30 ELECTRICA L ENGINEERING Principles and Applications 10045 Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics LINEAR WAVEFORM DISTORTION If the gain of an amplifier has a different magnitude for the various frequency components of the input signal, a form of distortion known as amplitude distortion occurs. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Phase Distortion If the phase shift of an amplifier is not proportional to frequency, phase distortion occurs. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Requirements for Distortionless Amplification To avoid linear waveform distortion, an amplifier should have constant gain magnitude and a phase response that is linear versus frequency for the range of frequencies contained in the input signal. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics PULSE RESPONSE ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Rise Time 0.35 tr B ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Tilt P percentage tilt 100% P For small amounts of tilt,percentage tilt 200f LT ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics TRANSFER CHARACTERISTIC AND NONLINEAR DISTORTION The transfer characteristic is a plot of instantaneous output amplitude versus instantaneous input amplitude. Curvature of the transfer characteristic results in nonlinear distortion. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Harmonic Distortion For a sinewave input, nonlinear distortion produces output components having frequencies that are integer multiples of the input frequency. v t V cos t i a a vo t V0 V1 cos a t V2 cos2 a t V3 cos3 a t V2 D2 V1 V3 D3 V1 V4 D4 V1 ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Total Harmonic Distortion (THD) Total harmonic distortion is a specification that indicates the degree of nonlinear distortion produced by an amplifier. D D D D D 2 2 2 3 2 4 2 5 ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics DIFFERENTIAL AMPLIFIERS A differential amplifier has two input terminals: an inverting input and a noninverting input. Ideally, a differential amplifier produces an output that is proportional to the difference between two input signals. vid vi1 vi 2 vo Ad vid ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Common-mode Signal vicm 1 vi1 vi 2 2 ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Common-Mode Rejection Ratio vo Ad vid Acm vicm CMRR 20 log Ad Acm ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics OFFSET VOLTAGE, BIAS CURRENT, AND OFFSET CURRENT ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics Real differential amplifiers suffer from imperfections that can be modeled by several dc sources: two bias-current sources, an offset current source, and an offset voltage source. The effect of these sources is to add a (usually undesirable) dc term to the ideal output. ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics ELECTRICA L ENGINEERING Principles and Applications Chapter 11 Amplifiers: Specifications and External Characteristics