Figure Q.1 illustrates a RLC circuit representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage v₁ (t) and v₂ (t) are the inputs to the system, defined as u(t)= [₂]. The output of the system is the current that passes through the resistor y(t) = ir(t). Identify a state space representation of the system using x(t) = [vc(t)] as the state variables. liz(t). v₂(1) vc(t) HE....... ic(t) C=0.5 F iR(1) L=1 H iz(t) R=20 v₂(1)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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QUESTION 1
Figure Q.1 illustrates a RLC circuit representing an electrical system consisting of capacitor
(C), resistor (R), and inductor (L). The voltage v₁ (t) and v₂ (t) are the inputs to the system,
defined as u(t)=[₂]. The output of the system is the current that passes through the
resistor y(t) = i(t). Identify a state space representation of the system using x(t) =
Plast
as the state variables.
v₂(1)
vc(t)
HE......
C=0.5 F
ic(t)
ir(t)
L=1 H
Figure Q.1 RLC circuit
il (t)
R=20
O
V2(1)
Transcribed Image Text:QUESTION 1 Figure Q.1 illustrates a RLC circuit representing an electrical system consisting of capacitor (C), resistor (R), and inductor (L). The voltage v₁ (t) and v₂ (t) are the inputs to the system, defined as u(t)=[₂]. The output of the system is the current that passes through the resistor y(t) = i(t). Identify a state space representation of the system using x(t) = Plast as the state variables. v₂(1) vc(t) HE...... C=0.5 F ic(t) ir(t) L=1 H Figure Q.1 RLC circuit il (t) R=20 O V2(1)
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