Chapter12

Microelectronic Circuit Design

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CHAPTER 12 12.1 a () A = 10 86 20 = 2.00 x 10 4 | A v - ideal = 1 + 150 k 12 k = 13.5 A v = A 1 + A β = 2.00 x 10 4 1 + 2.00 x 10 4 12 k 162 k = 13.49 FGE = 13.5 13.49 13.5 = 6.75 x 10 4 or 0.0675% Note : FGE 1 A = 6.75 x 10 4 b A v - ideal = 1 + 150 k 1.2 k = 126 A v = 2.00 x 10 4 1 + 2.00 x 10 4 1.2 k 151.2 k = 125 A = 2.00 x 10 4 1.2 k 151.2 k = 159 >> 1 FGE 1 A = 6.30 x 10 3 12.2 a A = 10 100 20 = 10 5 A v - ideal = 1 + 47 k 5.6 k = 9.393 A v = A 1 + A = 10 5 1 + 10 5 5.6 k 52.6 k = 9.392 GE = 1 1 1 + A = 8.82 x 10 4 FGE = 1 1 + A = 9.39 x 10 5 b A = 10 94 20 = 5.01 x 10 4 A v - ideal = 1 + 47 k 5.6 k = 9.393 A v = A 1 + A = 5.01 x 10 4 1 + 5.01 x 10 4 5.6 k 52.6 k = 9.391 GE = 1 1 1 + A = 1.76 x 10 3 FGE = 1 1 + A = 1.87 x 10 4 12-1
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12.3 a () A = 10 92 20 = 3.98 x 10 4 | A v - ideal =− 220 k 22 k 10 A v R 2 R 1 A β 1 + A 10 3.98 x 10 4 22 k 242 k 1 + 3.98 x 10 4 22 k 242 k 9.997 FGE = 10 9.997 10 = 2.76 x 10 4 or 0.0276% Note : FGE 1 A = 2.76 x 10 4 b A v - ideal 220 k 1.1 k 200 A v R 2 R 1 A 1 + A 200 3.98 x 10 4 1.1 k 221.1 k 1 + 3.98 x 10 4 1.1 k 221.1 k 199.0 A = 3.98 x 10 4 1.1 k 221.1 k = 198 >> 1 FGE 1 A = 5.05 x 10 3 12.4 a A = 10 94 20 = 5.01 x 10 4 A v - ideal 47 k 4.7 k 10 A v R 2 R 1 A 1 + A 10 5.01 x 10 4 4.7 k 51.7 k 1 + 5.01 x 10 4 4.7 k 51.7 k 9.998 GE R 2 R 1 1 1 + A = 10 1 + 5.01 x 10 4 4.7 k 51.7 k = -2.20x10 -3 | FGE = 1 1 + A = 2.20 x 10 4 b A = 10 100 20 = 10 5 A v - ideal 47 k 4.7 k 10 A v R 2 R 1 A 1 + A 10 10 5 4.7 k 51.7 k 1 + 10 5 4.7 k 51.7 k 9.999 GE R 2 R 1 1 1 + A = 10 1 + 10 5 4.7 k 51.7 k = -1.10x10 -3 FGE = 1 1 + A = 1.10 x 10 4 12-2
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12.5 A CL = 10 46 20 = 200 R 2 R 1 = 200 | β 1 1+ R 2 R 1 = 1 201 FGE 1 A < 0.001 A > 201 0.001 = 2.01 x 10 5 or 106 dB 12.6 FGE = 1 A 1 + A = 1 1 + A 10 4 requires A 10,000 (80 dB) 12.7 1 = A v = 10 32 20 = 39.8 FGE 1 A < 0.002 A > 39.8 0.002 = 1.99 x 10 4 or 86 dB 12.8 A v = 1 + R 2 R 1 A v nom = 1 + 99 R 1 R 1 = 100 A v max = 1 + 99 R 1 1 + 0.0001 ( ) R 1 1 0.0001 () = 100.02 A v min = 1 + 99 R 1 1 0.0001 R 1 1 + 0.0001 = 98.98 1 A < .0001 A >10 6 or 120 dB 12.9 Driving the output of the circuit in Fig. 12.3 with a current source of value i X : i X = i O + i 2 i 2 = v X R 1 + R 2 ; i O = v X A v id R O v id =− i 2 R 1 i O = v X + A i 2 R 1 R O = v X 1 + A R O where = R 1 R 1 + R 2 i X = v X 1 + A R O + v X R 1 + R 2 and R out = v X i X = R O 1 + A R 1 + R 2 12.10 Assuming i << i 2 : = R 1 R 1 + R 2 = 1 48 i i X v X R id 1 + A 0.1 V 10 6 1 + 10 5 1 48 48.0 pA i 1 i 2 = v O R 1 + R 2 = 0.1 V 1 + 47 48 k = 100 µ A and i << i 2 12-3
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12.11 a () A = 10 86 20 = 2.00 x 10 4 | 1 + A β = 1 + 2.00 x 10 4 12 k 162 k = 1482 A v = A 1 + A = 2.00 x 10 4 1482 = 13.49 R in = 250 k 1 + A = 371 M R out = 250 1 + A = 169 m Note that A v - ideal = 1 + 150 k
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This note was uploaded on 03/05/2008 for the course EE 307 taught by Professor Braun during the Spring '08 term at Cal Poly.

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Chapter12 - CHAPTER 12 12.1(a A = 10 20 = 2.00x104 | Av-ideal = 1 A Av = = 1 A FGE = 86 150k = 13.5 12k 2.00x10 4 = 13.49 4 12k 1 2.00x10 162k 1

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