This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Spring 2011 ECE 2100, Cornell Univ., A. Molnar 1 Lecture 13+14 2 ndorder RC circuits, RLC part 1 Spring 2011 ECE 2100, Cornell Univ., A. Molnar 2 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 Spring 2011 ECE 2100, Cornell Univ., A. Molnar 3 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 + = + =  +  =  +  = = = = = = = exp exp exp exp 2 1 2 1 2 2 1 1 2 2 2 1 2 1 2 2 1 1 1 1 1 2 2 2 2 1 2 2 1 1 2 2 1 1 1 1 2 1 Note that sign rule still applies: V1 always has same sign, even when differentiated!...
View
Full
Document
This note was uploaded on 06/10/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell University (Engineering School).
 Spring '05
 KELLEY/SEYLER

Click to edit the document details