12 V2 13 R2 V1 V3 c2 V1- RC-Circuit V2
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![R1
ci
12
V2
13
R2
V1
V3
C2
V1
RC-Circuit
V2
For the circuit shown above, answer the following questions:
a) Write the state equation governing the circuit shown above
b) Assuming that the system output is V2, write the output equation and compute the
transfer function
c) Assuming that the system output is 12, write the output equation and compute the
transfer function
d) Determine the state transition matrix of the system
e) Assuming zero input (V1=0) and the voltage on C1 Vei=1 volt and voltage on C2 Vc2=
-.1 volt, compute the output (V2(t)) at all time.
f) Write the form-1 state space representation of the circuit (the phase variable canonical
form)
g) Write the form-2 state space representation of the circuit (the input feedforward
canonical form)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fc09b45-dbd2-4f65-b38d-3762c1f766d2%2Fa07542d1-60ac-4a4e-b8d3-ea6444865366%2F5tnyvfu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:R1
ci
12
V2
13
R2
V1
V3
C2
V1
RC-Circuit
V2
For the circuit shown above, answer the following questions:
a) Write the state equation governing the circuit shown above
b) Assuming that the system output is V2, write the output equation and compute the
transfer function
c) Assuming that the system output is 12, write the output equation and compute the
transfer function
d) Determine the state transition matrix of the system
e) Assuming zero input (V1=0) and the voltage on C1 Vei=1 volt and voltage on C2 Vc2=
-.1 volt, compute the output (V2(t)) at all time.
f) Write the form-1 state space representation of the circuit (the phase variable canonical
form)
g) Write the form-2 state space representation of the circuit (the input feedforward
canonical form)
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