Ch03p - Chapter 3 Exercise Solutions EX3.1 VTN = 1 V , VGS...

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Chapter 3 Exercise Solutions EX3.1 () 1 , 3 , 4.5 4.5 3 1 2 TN GS DS DS DS GS TN VV V V s a t V V V == = => =−= = Transistor biased in the saturation region ( ) 22 2 0.8 3 1 0.2 / Dn G S T N n n I KV V K K m AV =− = (a) V GS = 2 V, V DS = 4.5 V Saturation region: ( ) 2 0.2 2 1 0.2 DD I Im A = (b) V GS = 3 V, V DS = 1 V Nonsaturation region: ()( ) ( ) ( ) 2 0.2 2 3 1 1 1 0.6 I A ⎡⎤ = ⎣⎦ EX3.2 2 , 3 321 TP SG SD SG TP V V Vs a tV V V = =+= = (a) 0.5 Nonsaturation SD = (b) 2 Saturation SD = (c) 5 Saturation SD = EX3.3 2 12 2 160 10 3.636 160 280 0.25 3.636 2 0.669 mA GD D G S D R V V RR I ⎛⎞ == = = ⎜⎟ ++ ⎝⎠ = ( ) ( ) 10 0.669 10 3.31 V 0.669 3.31 2.21 mW DS S V PI V = = EX3.4 2 2 1 2 1.2 0.4 1.2 2.932 V 1 DQ P SG TP SG SG SG DD TTN DD IK V V R V V R =+ = + Note K = k Ω ( ) 2 2 1 1 1 1 2.932 200 10 682 K 682 200 283 K 682 10 4 5 K 1.2 D R R R R R R = = = = + EX3.5 (a) 2 40 10 5 10 5 1 V 40 60 G R V = 2 5 −− S G S T N S SGG S V V V R VVV
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() ( ) ( ) ( ) ( ) 2 22 2 51 0 . 2 1 0.5 3.5 0 7 2.646 V 0.5 2.646 1 1.354 mA 10 1.354 3 5.937 V GS GS GS GS GS GS DD DS VV V V II V −− = + −= = = =− = = (b) 2 41 GS n GS TN VK V V ( ) ( ) ( ) ( ) (1) 1.05 0.5 0.525 (2) 0.95 0.5 0.475 (3) 1.05 1 1.05 V (4) 0.95 1 0.95 V n n TN TN K K V V == (1)-(3) 2 2 4 0.525 2.1 1.1025 0.525 0.1025 3.421 0 0.1025 0.010506 7.1841 2.652 V 2 0.525 GS GS GS GS GS GS V V + = ±+ ( ) 2 0.525 2.652 1.05 1.348 mA 10 1.348 3 5.957 V D DS I V = = (2)-(4) 2 2 4 0.475 1.9 0.9025 0.475 0.0975 3.5713 0 0.0975 0.00950625 6.78547 20 .475 GS GS GS GS GS GS V V + +− = −± + = 2.641 V GS V = ( ) 2 0.475 2.641 0.95 1.359 mA 10 1.359 3 5.924 V D DS I V = = (1)-(4) 2 2 4 0 525 1 9 0 9025 0 525 0 0025 3 5262 0 GS V. V . V . .V . + = 0 00000625 7 40502 20525 2 5893 V .. . V . . + = = ( ) 2 0 525 2 5893 0 95 1 411 10 3 5 7678 V D DS D I . . VI. = = (2)-(3) 2 2 4 0.475 2.1 +1.1025 0.475 0.0025 3.4763 0 0.0025 0.00000625 6.60499 2(0.475) GS GS GS GS GS GS V V = + = 2 2.7027 (0.475)(2.7027 1.05) 1.2973 mA 10 (3) 6.108 V GS D DS D V I VI = = = 1.297 1.411 mA 5.768 6.108 V DQ DS I V ≤≤ EX3.6
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() 2 12 10 5 200 10 5 0 714 V 350 55 1 2 G SD S D R V RR . VI R . I ⎛⎞ =− ⎜⎟ + ⎝⎠ = So 51 2 0 7 1 4 4286 12 =−=− SG S G D D VV V . I . .. I 2 4286 = =+ SG D Dp S G T P .V I . IK ( ) ( ) ()() 2 2 2 12 025 2 1 1 03 06 −= × + + SG SG SG SG SG SG . .VV . V. () () 2 2 04 3986 0 4 03 3986 203 SG SG SG . . . V . +− = −± + = Must use sign 3 04 V SG + = ( ) ( ) ( ) 2 025 304 1 104mA 10 10 1 04 1 2 4 4 59 V , Yes DD SD D S D SD SD SD I.. I . R R . . s a t = + + = > EX3.7 ( ) 2 10 10 SD DQ S P SD P SG TP S P R R VK V V R R + + + Set SD SG TP VVV ( ) ( ) 2 10 0.25 5.2 += + SG TP SG TP 2 1.3 10 0 ++ + = SG TP SG TP 11 4 1 . 3 1 0 21 .3 2.415 V SG TP + = 3.415 V 3.42 V SG V = ( ) 2 2.415 V 2.42 V 0.25 2.415 1.46 mA SD D V I = == EX3.8 2 240 10 5 10 5 240 270 0.294 V G G R V V = ⎜⎟⎜⎟ 2 2 5 5 0.08 4.706 4 3.9 2.4 1.44 2 S GG S Dn G S T N SS GS GS GS V V V V −− −+ = + 2 0.624 0.4976 3.80744 0 GS GS =
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() 0.4976 0.2476 9.50337 2 0.624 2.90 V GS GS V V ±+ = = ( ) 2 0.08 4 2.90 1.2 0.463 mA 2 10 3.9 10 3.57 V DD DS D DS II VI V ⎛⎞ =− = ⎜⎟ ⎝⎠ + = EX3.9 2 10 and SG p S G T P S V K V V R == + ( ) 2 0.12 0.050 0.8 2.35 V SG SG V V = 10 2.35 63.75 k 0.12 SS RR = ( ) ( ) 82 0 8 20 0.12 63.75 0.12 20 0.12 63.75 8 36.25 k 0.12 == − + −− = SD D S D D R R R 2 (1) 0.05 1.05 0.0525 (2) 0.05 0.95 0.0475 (3) 0.8 1.05 0.84 V (4) 0.8 0.95 0.76 V 10 P P TP TP SG DP S G T P S K K V V V IK V V R + (1)-(3) ( ) 2 2 10 63.75 0.0525 1.68 0.7056 3.347 4.623 7.6384 0 SG SG SG SG SG VV V ⎡⎤ −= + ⎣⎦ = 4.623 21.372 102.263 2 3.347 2.352 V 0.120 mA 8.0 V SG SG D SD V V = = (2)-(4) ( ) 2 2 10 63.75 0.0475 1.52 0.5776 3.028 3.603 8.251 0 SG SG SG SG SG V + = 3.603 12.9816 99.936 2 3.028 2.35 V 0.120 8.0 SG SG D SD V V I V = = (1)-(4) ( ) 2 2 10 63.75 0.0525 1.52 0.5776 3.347 4.087 8.06685 0 SG SG SG SG SG V + =
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() 4.087 16.7036 107.999 23 .347 2.279 V 0.121 mA 7.89 V SG SG D SD V V I V ±+ = = = = (2)-(3) ( ) 2 2 10 63.75 0.0475 1.68 0.7056 3.028 4.0873 7.8634 0 SG SG SG SG SG VV V ⎡⎤ −= + ⎣⎦ −− = 4.0873 16.706 95.242 .028 2.422 V 0.119 mA 8.11 V SG SG D SD V V I V = = = = Summary 0119 0121 mA 789 811V D SD .I .
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Ch03p - Chapter 3 Exercise Solutions EX3.1 VTN = 1 V , VGS...

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