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Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
11.6 THE SERIES RLC CIRCUIT – ZERO-INPUT RESPONSE
Let us begin the study of RLC circuits with series RLC circuit in this section.
Figure 11.6-1 shows a series RLC circuit with voltage excitation with all instantaneous
variables identified.
We choose to develop the differential equation governing the circuit in terms of the
voltage across the capacitor v
C
(t), i.e., we select v
C
(t) as the describing variable for the
circuit. We obtain all other variables in terms of this variable once the solution is obtained.
Substituting for i(t) in terms of v
C
(t) and rearranging terms,
d
d
d
d
CC
CS
2
2
11
vt
t
R
L
vt
tLC
vt
LC
vt
() ()
() ().++=
it C
vt
t
vt
()
()
()
=
−+
d
d
(By element equ ...
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Publisher Resources

ISBN: 9781299447028