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Let us look at a circuit similar to the previous one, but where we have replaced the initial resistor with another capacitor. C1 C2 R. a. Again, find three independent equations relating 1 (or Q1), I2 (or Q2), and I3, by applying Kirchhoff's rules. b. From these equations, find a differential equation that just contains the current or charge on the first capacitor, 1 and Q1. c. Again, 'solve' this equation by matching your equation from part b with Reffl1+ Q1 Ceff Ceff and then appropriately adapt the solution that was presented in the lecture. What is the solution for Q1(t), the charge on the first capacitor if it starts as uncharged at t 0? What is the time-constant r?

Let us look at a circuit similar to the previous one, but where we have replaced the initial resistor with another capacitor. C1 C2 R. a. Again, find three independent equations relating 1 (or Q1), I2 (or Q2), and I3, by applying Kirchhoff's rules. b. From these equations, find a differential equation that just contains the current or charge on the first capacitor, 1 and Q1. c. Again, 'solve' this equation by matching your equation from part b with Reffl1+ Q1 Ceff Ceff and then appropriately adapt the solution that was presented in the lecture. What is the solution for Q1(t), the charge on the first capacitor if it starts as uncharged at t 0? What is the time-constant r?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Let us look at a circuit similar to the previous one, but where we have replaced the initial resistor with another capacitor. 12 C2 C1 R. a. Again, find three independent equations relating I1 (or Q1), 12 (or Q2), and I3, by applying Kirchhoff's rules. b. From these equations, find a differential equation that just contains the current or charge on the first capacitor, I1 and Q1. c. Again, 'solve' this equation by matching your equation from part b with Qi Reffli+ Ceff Eeff and then appropriately adapt the solution that was presented in the lecture. What is the solution for Q1(t), the charge on the first capacitor if it starts as uncharged at t = 0? What is the time-constant r?
Transcribed Image Text:Let us look at a circuit similar to the previous one, but where we have replaced the initial resistor with another capacitor. 12 C2 C1 R. a. Again, find three independent equations relating I1 (or Q1), 12 (or Q2), and I3, by applying Kirchhoff's rules. b. From these equations, find a differential equation that just contains the current or charge on the first capacitor, I1 and Q1. c. Again, 'solve' this equation by matching your equation from part b with Qi Reffli+ Ceff Eeff and then appropriately adapt the solution that was presented in the lecture. What is the solution for Q1(t), the charge on the first capacitor if it starts as uncharged at t = 0? What is the time-constant r?
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