December 2015
Intermediate to advanced
737 pages
23h 39m
English
Content preview from Network Analysis and Synthesis, 1st Edition by Pearson
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348 Network Analysis and Synthesis
Case I: initially, the switch is at position 1, and by applying KVL, we get the following form:
60
10
120
it
di
dt
()
+=
Applying the Laplace transform, the equation is written as follows:
60
10
120
Is sI s
s
() ()
+=
or
()
()60 10
120
+=
sIs
s
or
Is
ss
()
()
=
+
120
10 60
=
+
=
+
=+
+
=-
+
120
10 6
12
6
6
22
6
ss
ss
A
s
B
s
ss
()
()
Taking the inverse Laplace transform, the equation is given as follows:
it e
t
()=-
-
22
6
= 2(1 - e
-6t
) A
Steady state current Lt=
=-
=
→∞
-∞
()
()
t
it
e21
2A
This current will act as the initial current for case II.
Case II: when the switch is at position 2, t = 0
+
. By applying KVL, we get the following form:
()
()60 10 0++
⋅=
Rit
di
dt
Given
di
dt
= 12
(60 ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.