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HW_S09_09 - 14.109 Note that the equivalent circuits are...

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14.109 Note that the equivalent circuits are the same for Q 1 and Q 2 . V EQ = 180 k 180 k Ω + 300 k 15 V = 5.63 V | R EQ = 180 k 300 k = 113 k I B = 5.63 - 0.7 113 + 101 20 ( 29 V k = 2.31 μ A | I C = 100 I B 1 = 232 μ A | I E = 101 I B 1 = 234 μ A V CE = 15 - 2 x 10 4 I E - 2 x 10 4 I C = 5.71 V r π = 100 0.025 V ( 29 232 μ A = 10.8 k | r o = 70 + 5.71 ( 29 V 232 μ A = 326 k A v = R in 2 k Ω + R in A vt 1 A vt 2 A vt 1 = v 2 v 1 = - β o 1 R I 1 r π 2 ( 29 r π 1 + β o 1 + 1 ( 29 R 5 = - 100 17 k 10.8 k ( 29 10.8 k Ω+ 101 ( 29 2 k = - 3.10 A vt 2 = v o v 2 = - g m 2 R L | R L = 100 k 20 k = 16.7 k | A vt 2 = - 40 232 μ A ( 29 16.7 k ( 29 = - 155 R in = R B 1 r π 1 + β o 1 + 1 ( 29 R 5 ( 29 = 300 k 180 k 10.8 k Ω + 101 ( 29 2 k [ ] = 73.6 k A v = 73.6 k 2 k Ω + 73.6 k - 3.10 ( 29 - 155 ( 29 = + 468 | R out = 20 k r o 2 = 20 k 326 k = 18.8 k 300 k 2 k 180 k 20 k 300 k 180 k 20 k 100 k 2 k Q Q 1 2 113 k =17.0 k 16.7 k R L R I1 v i v 1 v 2 R I
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15.1 a ( 29 I C = α F I E = 1 2 β F β F + 1 12 - V BE R EE = 1 2 100 101 12 - 0.7 2.7 x 10 5 = 20.7 μ A | V C = 12 - 3.3 x 10 5 I C = 5.17 V V CE = V
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