c) A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output voltages. (i) Derive the transfer function of the circuit. (!!) With a unit step change of Vi(t) applied to the circuit, derive the time response of the circuit. Vi(1) C1 C2 R₁ C₂ Vo(1) R = 25 ΚΩ C=C2-50 μF Figure Q1.1. RC circuit. (iii) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). R(s) H3 H3 Y(s) G3 pašsšol G₁ H G₂ Figure Q1.2. Block diagram.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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c)
A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output
voltages.
(i) Derive the transfer function of the circuit.
(!!)
With a unit step change of Vi(t) applied to the circuit, derive the time
response of the circuit.
Vi(1)
C1 C2
R₁ C₂
Vo(1)
R = 25 ΚΩ
C=C2-50 μF
Figure Q1.1. RC circuit.
(iii) Simplify the block diagram shown in Figure Q1.2 and find out the system
transfer function Y(s)/R(s).
R(s)
H3
H3
Y(s)
G3
pašsšol
G₁
H
G₂
Figure Q1.2. Block diagram.
Transcribed Image Text:c) A RC circuit is given in Figure Q1.1. Vi(t) and Vo(t) are the input and output voltages. (i) Derive the transfer function of the circuit. (!!) With a unit step change of Vi(t) applied to the circuit, derive the time response of the circuit. Vi(1) C1 C2 R₁ C₂ Vo(1) R = 25 ΚΩ C=C2-50 μF Figure Q1.1. RC circuit. (iii) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). R(s) H3 H3 Y(s) G3 pašsšol G₁ H G₂ Figure Q1.2. Block diagram.
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