Consider the following series RC circuit: Voutlt) Switch 'S' is open at t = 0. The switch is closed at t = 0. Let i(t) be the current flowing through the circuit for t0. It is given that input voltage Vin(t) is a unit step input. (a) Describe the dynamics of the system using ordinary differential equation. (b) Derive the transfer function for the system while assuming that initial charge stored in the capacitor is zero. Here, voltage across capacitor is the output. (c) Plot the output of the system with respect to time while assuming time constant to be 1 ms. Assume suitable values of 'R' and 'C'. After achieving a certain value in five time constants, the output almost gets saturated. Estimate the steady-state error. NOTE: Do task (c) analytically and verify your result using computational tool such as MATLAB.
Consider the following series RC circuit: Voutlt) Switch 'S' is open at t = 0. The switch is closed at t = 0. Let i(t) be the current flowing through the circuit for t0. It is given that input voltage Vin(t) is a unit step input. (a) Describe the dynamics of the system using ordinary differential equation. (b) Derive the transfer function for the system while assuming that initial charge stored in the capacitor is zero. Here, voltage across capacitor is the output. (c) Plot the output of the system with respect to time while assuming time constant to be 1 ms. Assume suitable values of 'R' and 'C'. After achieving a certain value in five time constants, the output almost gets saturated. Estimate the steady-state error. NOTE: Do task (c) analytically and verify your result using computational tool such as MATLAB.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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