lecture 3

# lecture 3 - Circuit analysis with Phasors ZR Z C Redrawing...

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Unformatted text preview: 11/12/09 Circuit analysis with Phasors ZR Z C Redrawing the circuit with phasors , , ∞ = → = ∞ → ϖ ϖ C C Z Z @ @ S C R C c V Z Z Z V + = 11/12/09 Transfer function RC j C j R C j Z Z Z V V j H C R C S C ϖ ϖ ϖ ϖ + = + = + = = 1 1 1 1 ) ( RC j j H = + = τ ϖ τ ϖ , 1 1 ) ( (transfer function for low pass filter with time constant ) τ 11/12/09 Graphical result for amplitude ratio 11/12/09 Amplitude: New representation • We are interested in very very small ratios. (e.g. Vc/Vs=0.0001) • Therefore we use log plot…also we define a new function called the deciBel (after Graham Bell) 11/12/09 Bode Plots ) ( log 20 ) ( 10 ϖ ϖ j H j H dB = (magnitude plot) ) ( ϖ j H ∠ (phase plot) 11/12/09 Bode Plots for Low-Pass Filter (LPF) ( 29 ( 29 ) ( tan 1 1 1 1 ) ( 1 ϖ τ ϖ τ ϖ τ ϖ-- = + ∠- ∠ = + ∠ = ∠ j j j H ϖ τ ϖ τ ϖ j j j H dB dB + = + = 1 1 log 20 1 1 ) ( 10 + =...
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## This note was uploaded on 11/12/2009 for the course EE 420.402 taught by Professor Lee during the Spring '08 term at Seoul National.

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lecture 3 - Circuit analysis with Phasors ZR Z C Redrawing...

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