Lecture 14

Lecture 14 - Lecture 14 2 nd-order RC circuits 2 nd order...

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Unformatted text preview: Lecture 14 2 nd-order RC circuits 2 nd order RC circuit: intuition • V1 can’t 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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This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell.

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Lecture 14 - Lecture 14 2 nd-order RC circuits 2 nd order...

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