Lect.6.Intrinsic.Cap

Ic vcvo dvc ic c dt vc s 1 zc ic s sc 1 sc v

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Unformatted text preview: s s Laplace domain (ignoring initial condition) R + vi - s = " + j! iC + vC=vo - dvC iC = C dt vC ( s ) 1 = ZC = iC ( s ) sC 1 sC v o ( s) 1 1 H ( s) = = = = 1 s v i ( s) + R 1 + sRC 1 " sC p R. Dutton, B. Murmann ! iC ( s ) = sCvC ( s ) EE114/214A 1 p=! RC “Pole” 6 P o le j! s 3 " -1/RC | )2 s ( H |1 RC=1 0 3 3 2 2 1 -" R. Dutton, B. Murmann EE114/214A 1 0 0 ! 7 M a g n it u d e a n d P h a s e • Evaluate H(s) for s=jω – S te a d y - s ta te p h a s o r a n a ly s is H ( j! ) = 1 1 = 2 1 + j ! RC 1 + (!RC ) #H ( j! ) = tan "1 (" !RC ) • M a g n itu d e a n d p h a s e o f th e tr a n s fe r fu n c tio n a r e c o m m o n ly illu s tr a te d u s in g B o d e p lo ts – S im p ly a lo g - lo g p lo t o f th e m a g n itu d e a lo n g w ith a lo g - a n g le p lo t fo r th e p h a s e ( n o te r e d d a s h e d c u r v e o n S lid e 7 ) R. Dutton, B. Murmann EE114/214A 8 B o d e P lo t B d [ A t ω = 1 /R C = |p |: 0 | -20 j ) ( ! H | -40 -2 g 10 e d 0 j [ ( H [ ) -50 ! e l g n -100 -2 A 10 H ( j"...
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