ECE 2C, notes set 7: Basic Transistor Circuits; High-Frequency Response
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1 class notes, M. odwell, copyrhted 013 EE, notes set 7: Basc Transstor rcuts; Hh-Frequency esponse Mark odwell Unversty of alforna, Santa Barbara , fax
2 oals class notes, M. odwell, copyrhted 013 These notes : calculate crcut transfer functons H ( s. Low - frequency rolloff. Hh - frequency rolloff. Frequency response.transent reponse. oals : Becoe Becoe expert n crcut analyss. expert n LaPlace ethods. Transstor crcuts ake ood exercses they are real, nterestn, useful. : LaPlace analyss: portant n ost partsof electrcal enneern
3 Feld-Effect Transstor Hh-Frequency Model class notes, M. odwell, copyrhted 013 Physcalorn of these capactances For ecec, we sply take ths odel wll as ven. be covered n later classes.
4 Feld-Effect Transstor Hh-Frequency Model class notes, M. odwell, copyrhted 013 sb db arses ostly fro ate - channel capactance Partly due to ate -source frnn felds, and nterconnect vas. d arses n part fro ate - channel capactance Partly due to ate -source frnn felds and nterconnect vas. sb and db are source - bulk (substrate and dran - bulk PNjuncton capactances. Many of these capactances vary wthbas voltae.
5 Basc oon-source Aplfer class notes, M. odwell, copyrhted 013 Ths crcut : 1950's - style basn n and and wll wll reduce reduce the crcut an at low frequences. the crcut an at hh frequences.
6 Basc oon-source Aplfer class notes, M. odwell, copyrhted 013 Sall -snal equvalent crcut : n and and wll wll reduce reduce the crcut an at low frequences. the crcut an at hh frequences.
7 Basc oon-source Aplfer class notes, M. odwell, copyrhted 013 Let us frst consder responseat hh frequences. We wll therefore teporarly nelect n and.
8 Nodal Analyss: How to solve crcuts class notes, M. odwell, copyrhted 013 Label all crcut nodes. For each :s the voltae known? known voltae (blue, unknown voltae (red Tosolve crcut # of Wrte the equatons ust be *lnearly ndependent *. Alwaysves : equatons # of node currents 0 at each node whch you do not know the voltae. the needed set of unknowns # of unknown node voltaes lnearly ndependent equatons.
9 oon-source Aplfer: Splfyn class notes, M. odwell, copyrhted 013 onvert the erator froa Thevenn to a Norton odel : And then use parallel resstor forulas :
10 class notes, M. odwell, copyrhted 013 oon-source: Nodal Analyss n n n n n ( ( ( zero: s currents at Su of 0 ( ( 0 ( ( ( zero: s currents at Su of n n n
11 class notes, M. odwell, copyrhted 013 oon-source: Nodal Analyss 0 ( ( ( ( n n 0 n
12 class notes, M. odwell, copyrhted 013 oon-source: Nodal Analyss 0 n n n 0 / / n
13 class notes, M. odwell, copyrhted 013 oon-source: Nodal Analyss 0 ( and ( where ( ( ( ( ( ( s N s D s s D s N s s H s
14 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 D( s D( s D( s
15 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 oranze nto powersof D( s s s s :
16 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 Separate nto a constant carryn unts ultpled by a untless frequency response: D( s / 1 s s D( s 1 s 1 s s (1 s
17 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 Follow the sae rules for the nuerator : N( s 0 1 /
18 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 N( s D( s 1 1 s / (1 s N( s D( s 1 s 1 / (1 s So ( s ( s H ( s 1 s 1 / (1 s
19 oon-source: Nodal Analyss class notes, M. odwell, copyrhted 013 H H ( s noralzed ( s H 1 d band s (1 s H noralzed ( s 1 / H d band ( n, Ap n, Ap n, Ap n, Ap n, Ap
20 oon-source Nodal Analyss: the answer class notes, M. odwell, copyrhted 013 H H where H d band noralzed d band ( s H noralzed 1 b1s 1 a s a 1 n, Ap ( s s n, Ap s the d - band an. s the aplfer frequency response. Frst - order te constant : a 1 Second and b 1 - order (te / constant : a
21 oents on the analyss class notes, M. odwell, copyrhted 013
22 Fndn Poles: Separated Pole Approxaton class notes, M. odwell, copyrhted 013
23 Fndn Poles: Separated Pole Approxaton class notes, M. odwell, copyrhted 013
24 Aplfer Frequency esponse class notes, M. odwell, copyrhted 013
25 Exaple class notes, M. odwell, copyrhted 013
26 Frequency esponse Exaple (1: D class notes, M. odwell, copyrhted 013 * weare norn the (1 bas analyss. Don ths causes soe sall error. If we do not, the D analyss nvolves solvn quadratc forulas. sall snal analyss. Hard. In EE137A we wll learn soe trcks calculate ths quckly yet farly accurately. Donot nore the (1 DS DS ter n the to ter n the FET : ( c th ox W / L 0.3 1/ 10 Analyss: I D ( ( current throuh D ( c DS 1 th ox W 0.5. ( I 0.3 ( 100 k, DD DD I 1A/ / L D D DS 1/ ( ( c 50 A D L / I D ox 50 k 1 1A W th / L 1A/ Desn condtons I DS D DD A 3.3 ( ter nored 50 A 1/ 1/ ( / 50 A 5 k 0.5/1 A 50 k, 0. ( /10 A.78 M,
27 class notes, M. odwell, copyrhted 013 Frequency esponse Exaple (: oponent alues M 5 k k ds 0.47 S 5S 50 k 50 k FET : I D ds ( c ox (A/ I D ds W / L 1A ( I D (1 50 A (1 I ( (1 0.7/ S DS th I D DS 50 A 10 D 1 5S 00 k ( c ox W / L ( th (1 DS
28 class notes, M. odwell, copyrhted 013 Frequency esponse Exaple (3: oponent alues 00k 100 k 5 k 50k 5.5k 50 k.78m 438k 0.47 S
29 class notes, M. odwell, copyrhted 013 Frequency esponse Exaple (4: oponent alues 1pF 0.5 pf 0.47 S 8k.6k
30 class notes, M. odwell, copyrhted 013 Frequency esponse Exaple (5: (te n constants H H H d band noralzed d band H noralzed 1 b1s ( s 1 a s a ( s s a a a 1 8k1pF 8k0.5pF 0.47S8k.6k0.5pF.6k0.5pF 0.36s / a a 1, a / a 1 8k.6k1pF0.5pF/0.36s 1.4ns so, separated pole approxaton works. b 1 / 0.5pF/0.47S 0.53 ns
31 class notes, M. odwell, copyrhted 013 Frequency esponse Exaple (6: Transfer Functon a 1 ( s 1 b1s 8.65 ( s (1 a s(1 ( a 0.36s, a / a ns, b / a 1 1 s 0.53 ns f f p1 z ( jf 8.65 ( jf (1 jf khz, f 0.36s ps 1 / f p p1 jf / f z (1 jf ns 11 MHz 99 MHz(zeron the rht half / f p of thes - plane
32 class notes, M. odwell, copyrhted 013 The Mller Effect
33 The Mller Approxaton class notes, M. odwell, copyrhted 013
34 The Mller Approxaton class notes, M. odwell, copyrhted 013
35 The Mller Approxaton class notes, M. odwell, copyrhted 013 efer back to the coon - source analyss You wll.e. see (1 (1 v A
36 class notes, M. odwell, copyrhted 013 Usn Mller Approxaton to Understand esponse
37 class notes, M. odwell, copyrhted 013 Usn Mller Approxaton to Understand esponse Low - frequency an fro Approxate: replace wth ller to s ( 1 ller 1/ f ( (1 pole ller
38 Mller and Exact Solutons class notes, M. odwell, copyrhted 013 Exact soluton a a 1
39 class notes, M. odwell, copyrhted 013 Further oents eardn Mller Approxaton
40 class notes, M. odwell, copyrhted 013 Frequency/Transent eponse: eal, Iportant
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