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# Chapter 14 - Chapter 14 Frequency Response SJTU 1 Review of...

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SJTU 1 Chapter 14 Frequency Response

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SJTU 2 Review of impedance No V I + I V rms rms I rms V rms I V I V I V Z φ - = = = - = = = I V Z rms rms Z I V Z Z Z θ If w is variable, Z: Z(jw) Z(jw) and θ Z (jw) are all functions of w.
SJTU 3 Transfer function (network function) w w w ) ( ) ( ) ( w X w Y w H = response phase ) ( response amplitude ) ( w w w w H H φ

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SJTU 4 Four kinds of transfer function: ) ( ) ( admittance Transfer ) ( ) ( ) ( impedance Transfer ) ( ) ( ) ( gain Current ) ( ) ( ) ( gain Voltage ) ( w V w I w H w I w V w H w I w I w H w V w V w H i o i o i o i o = = = = = = = =
SJTU 5 frequency-selective circuits (filters) passband W c (cutoff frequency) w ) ( jw H 1 Low-pass filter

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SJTU 6 Low-pass Filters w Vi + Vo W c (cutoff frequency) w ) ( jw H 1 ) ( tan ) ( ) ( ) ( 1 2 2 R wL jw L R w L R jw H - - = + = θ max 2 1 ) ( H jw H c = half-power frequency L R w c =
SJTU 7 Low-pass Filters Vi + Vo w W c (cutoff frequency) w ) ( jw H 1 RC w c 1 = ) ( tan ) ( ) 1 ( 1 ) ( 1 2 2 wRC jw RC w RC jw H - - = + = θ

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SJTU 8 High-pass Filters Vi + Vo w w Vi + Vo W c (cutoff frequency) w ) ( jw H 1
SJTU 9 Bendpass Filters Center frequency (resonant frequency) w 0 Bandwidth B Quality factor Q B w Q 0 =

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SJTU 10 Series RLC Circuit w w Vi + Vo Vi Vo jw H = ) ( ) ( jw H w 1 W 0 W 2 W 1
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Chapter 14 - Chapter 14 Frequency Response SJTU 1 Review of...

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