Operational Amplifiers and Electronic Feedback
Operational Amplifiers and Electronic Feedback ECE 322
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This 2 page Class Notes was uploaded by Erick Metz DVM on Saturday October 3, 2015. The Class Notes belongs to ECE 322 at California State Polytechnic University taught by Phyllis Nelson in Fall. Since its upload, it has received 28 views. For similar materials see /class/218130/ece-322-california-state-polytechnic-university in ELECTRICAL AND COMPUTER ENGINEERING at California State Polytechnic University.
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Date Created: 10/03/15
P R Nelson ECE 322 Operational Ampli ers and Electronic Feedback Homework Assignment 4 Due Tuesday7 1 November 1 The circuit shown below implements a second order lter 01 39 Ui a Find the transfer function V0sVis NssZw sQwo 1 b Design this circuit for f0 1kHz and Q 0956 c Plot the magnitude in dB and phase in degrees of this transfer function d Find the sensitivities S of the natural frequency we to changes in component values where A AX we SUJO Swo X wo X X and X is one of the components R1 R2 Cl 02 2 In this problem you will examine a state variable77 second order lter circuit The circuit is shown below Assume that the op amps are ideal 2 AVAVAV C 1 R1 M o IVW Um R5 gt o Uo R3 C R4 lt 2 R6 1 21 322hw4tex Fall 2011 P R Nelson 2 a Find the transfer function V0sVms b Find the transfer function c Find Um as a function of vi 120 and W d Find the transfer function V0sVis of the complete circuit in the form V0s S Ns W8 82 weQSw3 That is7 nd Ns7 we and Q in terms of the component values e Plot the magnitude in dB and phase in degrees of this transfer function if R1 R3 R4 10k97R72 19kQ7 R5 R6 160k 27 and Cl 02 100 pF 3 The circuit shown below is a general model that can be used to explain the oscillation of Colpitts and Hartley circuits In the analysis below7 assume that the op amp is ideal except that it has nite gain A and an output resistance R0 a Find the open loop gain Hint break the loop at the op amp negative terminal and inject a test signal VT Find WetVT where Vm is the return signal77 at the node between Z1 and Z2 b If Zl le i 17 27 37 use the Barkhausen criteria WetVT 1 to show that at the frequency of oscillation X1X2X30 and c Use your results above to show that if Z3 is an inductor7 Z1 and Z2 must be capacitors this is called a Colpitts oscillator and if Z3 is a capacitor Z1 and Z2 must be inductors this is called a Hartley oscillator d Find the frequency of oscillation of a Colpitts oscillator in terms of Cl Cg and L3 e Find the frequency of oscillation of a Hartley oscillator in terms of L1 L2 and 03 Answers 1 a 1 Aug V 3le0ng 2 d i S 1R3R4 7 R3 7 1R2R1 R3R5Cl NS 7 we 7 Q 7 7 R501 1 R1R2 R4R5R60102 1 R3R4 R4R602 322hw4tex Fall 2011