EE40Lecture 21Venkat AnantharamSecond-Order Filter CircuitsSeries ResonanceParallel ResonanceSlide 1EE40 Spring 2008 Venkat AnantharamEE40Lecture 21Venkat Anantharam3/14/08 Reading: Chap. 6: Bode plots for second order systems.Slide 2EE40 Spring 2008 Venkat AnantharamSecond-Order Filter CircuitsBand PassZ = R + 1/jωC + jωLHBP= R / ZHLP= (1/jωC) / ZHHP= jωL/ ZHBR= HLP+ HHPC+–RLow PassLVSBand RejectHigh PassSlide 3EE40 Spring 2008 Venkat AnantharamSeries Resonance+−VINVOUT+Voltage dividerResonance quality factorCRLRINOUTZZZZVV++=RLQ0ω=Substitute branch elementsCjRLjRINOUTωω/1++=VVBandwidth is f0/Q in Hz.Rearrange:)/1( CLjRRINOUTωω−+=VVSlide 4EE40 Spring 2008 Venkat AnantharamParallel ResonanceIINVOUT+AdmittanceResonance quality factorCRLSOUTYYYIV++=RLQ0ω=Substitute branch elementsjwCRLjSOUT++=11ωIVBandwidth is f0/Q in
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