CIRCUITS AND ELECTRONICS. The Impedance Model

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1 6.00 UTS AND EETONS The medance Mode e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

2 eew Snusoda Seady Sae (SSS) eadng 3., 3. cosω O SSS Focus on seady sae, ony cae abou P as H des away. Focus on snusods. Snusoda Seady Sae (SSS) eadng 3., 3. eadng: Secon 3.3 fom couse noes. e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

3 eew cosω usua ccu mode se u DE cos P [ ω ] nghmae g. sneak n e de comex ageba The Sneaky Pah e ake ea a 3 H 4 oa j ω conans a he nfomaon we need: e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7 Amude of ouu cosne hase

4 eew O cos ω ( ) H ( ) ansfe funcon ω Bode o ω beak fequency emembe demo ω ω 0 ω ω an ω π 4 π The Fequency ew e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

5 s hee an een sme way o ge? Dde numeao and denomnao by. Hmmm ooks ke a oage dde eaonsh. Z Z e s exoe fuhe e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

6 The medance Mode s hee an een sme way o ge? onsde: e e esso e j ω e e e aaco e d d e e e e d d Z e nduco Z e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

7 The medance Mode n ohe wods, caaco c c Z c Z j ω Z c medance nduco Z Z Z esso Z Z Z Fo a de of he fom c e, comex amude c s eaed o he comex amude c agebacay, by a geneazaon of Ohm s aw. e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

8 Back o exame medance mode: Z c c A ou od fends ay! K, K, sueoson e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7 c Z c Z Z Done! Z j ω

9 Anohe exame, eca sees : emembe, we wan ony he seady-sae esonse o snusod e j ω cosω Z Z Z Z cos e j ω ( ω ) ω We w sudy hs and ohe funcons n moe dea n he nex ecue. e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

10 The Bg Pcue cosω cos [ ω ] usua ccu mode se u DE nghmae g. e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

11 The Bg Pcue cosω cos [ ω ] usua ccu mode se u DE nghmae g. e de comex ageba ake ea a e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

12 The Bg Pcue cosω cos [ ω ] usua ccu mode se u DE nghmae g. e de comex ageba ake ea a medance-based ccu mode comex ageba No D.E.s, no g! e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

13 Back o ω e s sudy hs ansfe funcon Obsee ω ( ω ) ω ( ) ω ( ω) ow ω : ω Hgh ω : ω ω : ( ω ) ( ω ) e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

14 Gahcay ω ( ω ) ( ω) ow ω : ω Hgh ω : ω ω : Band Pass ω ω emembe hs ck o skech he fom of ansfe funcons qucky. Moe nex week ω e as: Anan Agawa and Jeffey ang, couse maeas fo 6.00 cus and Eeconcs, Sng 007. MT OenouseWae (h://ocw.m.edu/), Massachuses nsue of Technoogy. Downoaded on [DD Monh YYYY] Fa 000 ecue 7

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