2. Consider the circuit is shown in the figure below. The circuit comprises a voltage supply, v(t), resistor (R), inductor (L) and capacitor (C). Let x, = i and x2 = ve be the state variables for this system, where i and ve are the circuit current and capacitor voltage, respectively. For this system, a) Derive the loop equation, involving integro-differential equations, from first principles b) Write the state differential equations c) Write the state-space equation in matrix-vector form d! Sketch the signal-flow graph. Show all your work. R 1(1)

2. Consider the circuit is shown in the figure below. The circuit comprises a voltage supply, v(t), resistor (R), inductor (L) and capacitor (C). Let x, = i and x2 = ve be the state variables for this system, where i and ve are the circuit current and capacitor voltage, respectively. For this system, a) Derive the loop equation, involving integro-differential equations, from first principles b) Write the state differential equations c) Write the state-space equation in matrix-vector form d! Sketch the signal-flow graph. Show all your work. R 1(1)

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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