ECE201_26_Op-Amp_basics

# ECE201_26_Op-Amp_basics - ECE 201 Lecture 26 Op-Amp basics...

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Unformatted text preview: ECE 201 Lecture 26 Op-Amp basics: dependent source models Announcements • Last Lecture #25: – 2 nd order circuits: constant input • This Lecture #26: Op-Amp basics: dependent source models – Examples: Isolation amplifier Inverting amplifier Non-inverting amplifier Summing circuit Difference circuit Pre-amplifier for photo-detector Differential Equation for Serial RLC circuit 2 2 1 C C C d v dv R v dt L dt LC + + = 2 2 1 L L L d i di R i dt L dt LC + + = 2 2 1 C L d x R dx x dt L dt LC x v or i + + = = for serial RLC circuits 2 2 1 1 L R d x dx x dt dt LC τ τ = + + = Parallel RLC Circuit are given v C (t)=?, i L (t)=? Differential equations: 2 2 1 1 C L d x dx x dt RC dt LC x v or i + + = = for parallel RLC circuits 2 2 1 1 RC d x dx x dt dt LC τ τ = + + = Review of Source Free 2 nd Order Circuit and given with characteristic equation Problem is reduced to solving the linear differential equation: Case 1 ( two distinct real roots s 1 , s 2 ): Case 2 ( two identical real roots s 1 =s 2 ): Case 3 ( two conjugate complex roots s 1 =- σ +j ϖ d , s 2 =- σ-j ϖ d ): if both s 1 and s 2 are on the left half of the complex plane (not including the imaginary axis) stable stable unstable unstable Will be given in exams 2...
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## This note was uploaded on 01/12/2012 for the course ECE 201 taught by Professor All during the Fall '08 term at Purdue.

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ECE201_26_Op-Amp_basics - ECE 201 Lecture 26 Op-Amp basics...

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