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Unformatted text preview: Lecture 14 2 ndorder RC circuits 2 nd order RC circuit: intuition V1 cant change instantly, so Vin appears all across R1, generates large, decaying I1 I2=0 until voltage builds up on C1, then starts to charge C2, As V1 assymptotes, V2 starts to catch up, I2 decreases again + V in V in t 0 t 1 I1 V1 I2 V2 R1 C1 R2 C2 I 1 t 0 t 1 V 1 t 0 t 1 I 2 t 0 t 1 V 2 t 0 t 1 V h /R1 V h V h 2 nd order RC circuit: math Write KCL for two nodes Set up as two differential equations Look for natural response (Vin=0): guess two exponentials/time constants Implies four magnitude constants (A,B,C,D) Initial conditions also need to be met + V in I1 V1 I2 V2 R1 C1 R2 C2 ( 29 ( 29 ( 29 ( 29 D B V C A V t D t B t V t C t A t V C R V V dt dV C R V V C R V V dt dV dt dV C R V V I I dt dV C R V V R V V I I I in C in C + = + =  +  =  +...
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 Spring '05
 KELLEY/SEYLER
 Volt

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