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3. The figure below shows an RC circuit. (a) If the initial charge in the circuit is Q(0) = 0, show that the differential equation governing the charge is given by: dQ dt Vi + V;(t) Q RC = (b) If Vi(t) = Vi, constant for t > 0, determine the charge Q(t) as a function of t. Use integrating factors method (c) If the voltage is given by wwww R V₂(t) R 0 t < 0 Vi 0 T determine Q(t) using integrating factors. (d) If Vi(t) = Vi sin wt, determine Q(t). Use both integrating factors and the method of undetermined coefficients. C: (1) Figure 1: RC circuit (2)

3. The figure below shows an RC circuit. (a) If the initial charge in the circuit is Q(0) = 0, show that the differential equation governing the charge is given by: dQ dt Vi + V;(t) Q RC = (b) If Vi(t) = Vi, constant for t > 0, determine the charge Q(t) as a function of t. Use integrating factors method (c) If the voltage is given by wwww R V₂(t) R 0 t < 0 Vi 0 T determine Q(t) using integrating factors. (d) If Vi(t) = Vi sin wt, determine Q(t). Use both integrating factors and the method of undetermined coefficients. C: (1) Figure 1: RC circuit (2)

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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3. The figure below shows an RC circuit. (a) If the initial charge in the circuit is Q(0) = 0, show that the differential equation governing the charge is given by: (1) (b) If Vi(t) = V₁, constant for t > 0, determine the charge Q(t) as a function of t. Use integrating factors method (c) If the voltage is given by dQ Q + dt RC Vi V₂(t)= = = = wwww R Vi(t) 0 t < 0 Vi 0<t<T 0 t > T R determine Q(t) using integrating factors. (d) If V (t) Vi sin wt, determine Q(t). Use both integrating factors and the method of undetermined coefficients. Figure 1: RC circuit (2)
Transcribed Image Text:3. The figure below shows an RC circuit. (a) If the initial charge in the circuit is Q(0) = 0, show that the differential equation governing the charge is given by: (1) (b) If Vi(t) = V₁, constant for t > 0, determine the charge Q(t) as a function of t. Use integrating factors method (c) If the voltage is given by dQ Q + dt RC Vi V₂(t)= = = = wwww R Vi(t) 0 t < 0 Vi 0<t<T 0 t > T R determine Q(t) using integrating factors. (d) If V (t) Vi sin wt, determine Q(t). Use both integrating factors and the method of undetermined coefficients. Figure 1: RC circuit (2)
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