REVIEW - Passive Circuit Bode Plots

REVIEW - Passive Circuit Bode Plots - THINGS YOU SHOULD...

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REVIEW – Frequency response for passive circuits Page 1 THINGS YOU SHOULD KNOW ABOUT BODE PLOTS FOR PASSIVE CIRCUITS (Lectures 38-39) 1. How to write voltage divider relationship using phasors. 2. How to express magnitude in decibels 3. How to plot terms of the form 20log 10 1 + j ! RC and 20log 10 j RC . 4. Identify cutoff frequency and 3-db point. 5. Know the difference between ω and f. PAGE R-C LOW-PASS FILTER 2 R-C HIGH-PASS FILTER 3 L-R LOW-PASS FILTER 4-5 R-LR FILTER 6-7 PLOTTING TRANSFER FUNCTIONS 8
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REVIEW – Frequency response for passive circuits Page 2 RC LOW-PASS FILTER Transform and, if necessary, factor the transfer function into terms of the form (1±j ω a) First term is always 0 dB, second term is 0 for ω < ω c , but decreases at -20 dB per decade for ω > ω c . v o v i = 1 j ! C R + 1 j C = 1 1 + j RC = 1 1 + j c 20log 10 v o v i ! " # $ % = 20log 10 1 ( ) 20log 10 1 + j ( c ! " # $ % First term is a constant 0 ω c 10 ω c 0.1 ω c 0 dB -20 dB Second term Combined response decade {
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REVIEW – Frequency response for passive circuits Page 3 BODE PLOT – RC HIGH-PASS FILTER
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REVIEW - Passive Circuit Bode Plots - THINGS YOU SHOULD...

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