HW4_Soln

# HW4_Soln - BENG186B WI10 HW4 Solution Key 1) (a) Find...

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BENG186B WI10 HW4 Solution Key 1) (a) Find output impedance with V s in the circuit (11 points). A B D C Z out = V oc /I sc ( +1 pt ) V oc = V out Solve for V out V B = V C V B – V D = I x V s = 2V 2 @ A: 3I x = V A – V B + V A – V out 2 4 @ B: V B – V A + V B – V D = 0 +2 pts for equations 2 2 @ C: V c – 2V + V c = 0 4 4 @ output: V out – V A + V out – V D = 0 4 8 Substitute for I x and use calculator or computer to solve system of equations to obtain V A = 1V V B = V C = 1V V D = 1V V out = V oc = 1V +2 pts for V out Now solve for I sc by short circuiting Vout to ground (therefore V out = 0 and a current flows through that branch). (+1 pt) V B = V C V B – V D = I x V s = 2V 2 @ A: 3I x = V A – V B + V A 2 4 @ B: V B – V A + V B – V D = 0 +1 pt for equations 2 2 @ C: V c – 2V + V c = 0 4 4 Solve system of equations to obtain V A = 4/3 V V B = 1V V D = 2/3 V @ output: Isc = V D + V A I sc = 5/12 A +2 pts 8 4

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Z out = V oc = 1V__ Z out = 2.4 +2 pts I sc (5/12 A) (b) Find the input impedance as seen by the input source V s (4 points). Z
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## This note was uploaded on 04/30/2010 for the course BENG 186B taught by Professor Peterchen during the Winter '08 term at UCSD.

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HW4_Soln - BENG186B WI10 HW4 Solution Key 1) (a) Find...

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