Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 7, Problem 54P
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A singl core cable of voltage 30 kv.
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Prelab Information
1. Laboratory Preliminary Discussion
First-order Low-pass RC Filter Analysis
The first-order low-pass RC filter shown in figure 1 below represents all voltages and currents in the time domain. It is of course
possible to solve for all circuit voltages using time domain differential equation techniques, but it is more efficient to convert the
circuit to its s-domain equivalent as shown in figure 2 and apply Laplace transform techniques.
vs(t)
i₁(t)
+
R₁
ww
V₁(t)
12(t)
Lic(t)
Vout(t)
=
V2(t)
R₂
Vc(t)
C
Vc(t)
VR2(t)
= V2(t)
+
Vs(s)
Figure 1: A first-order low-pass RC filter represented in the time domain.
I₁(s)
R1
W
+
V₁(s)
V₂(s)
12(s)
Ic(s)
+
Vout(S)
==
Vc(s)
Vc(s)
Zc(s)
=
=
VR2(S)
V2(s)
Figure 2: A first-order low-pass RC filter represented in the s-domain.
Chapter 7 Solutions
Basic Engineering Circuit Analysis
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