6.00 CIRCUITS AND ELECTRONICS Op Amps Psiie Feedback Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Negaie s Psiie Feedback Cnsider his circui negaie feedback IN R R R IN and his psiie feedback R IN Wha s he difference? R R OUT IN R see analysis n nex page R OUT IN R Cnsider wha happens when here is a perubain Psiie feedback dries p amp in saurain: ± OUT V S Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Saic Analysis f Psiie Feedback Ck IN R R OUT IN R OUT ( ) A A R A( ) OUT IN A R IN R R OUT AR R AR IN OUT AIN R R R OUT AR R R IN A R R R OUT R R R AR R R A IN R R IN Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Represening dynamics f p amp R C ( ) * * A Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Represening dynamics f p amp Cnsider his circui and le s analyze is dynamics build insigh. R R Circui mdel R3 R4 R A R * R C ( ) R3 R4 Le s deelp equain represening ime behair f. Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
A * * r d RC d RC A d d * Dynamics f p amp * A A ( ) R R R R3 R R 3 4 r d d neglec A ( ) RC RC 0 d d A ( ) RC 0 ime r d d T 0 where T RC A( ) (0 ) 0 Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Cnsider a small disurbance (nise). if if if > > T T T is is psiie K e K e T negaie T sable unsable is ery large K neural unsable K disurbance neural sable Nw, le s build sme useful circuis wih psiie feedback. Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
One use fr insabiliy: Build n he basic p amp as a cmparar V S V S V S 0 V S 0 Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Nw, use psiie feedback i R R R R R 7.5 5 i e.g. R R 5 V S ( i ) > 7.5 > 7.5 < < 7.5 5 7.5 Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Nw, use psiie feedback i R R R R R VS R R R V S 5 i e.g. R R 5 V S ( i ) > 7.5 > < < 7.5 5 V S VS R R R Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
V S 5 hyseresis 7.5 0 7. 5 i Dem V S 5 Why is hyseresis useful? 7.5 7.5 i e.g., analg digial Dem Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Wihu hyseresis i analg digial 7.5 7.5 i Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Oscillar can creae a clck R C C R R V S V S C V S V S Dem Assume C V 0 S a 0 Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure
Clcks in Digial Sysems We buil an scillar using an p amp. can use as a clck Why d we use a clck in a digial sysem? (See page 735 f A & L) sender 0 receier clck a,,0? b When is he signal alid? cmmn imebase -- when lk a a signal (e.g. wheneer he clck is high) Discreizain f ime ne bi f infrmain assciaed wih an ineral f ime (cycle) Cie as: Anan Agarwal and Jeffrey Lang, curse maerials fr 6.00 Circuis and Elecrnics, Spring 007. MIT OpenCurseWare (hp://cw.mi.edu/), Massachuses Insiue f Technlgy. Dwnladed n [DD Mnh YYYY]. 6.00 Fall 000 Lecure