Transient Response of Circuits Using Laplace Transform 343
Example 8.10 In the circuit shown in Figure 8.23, switch
s is closed at t= 0. Find the voltage across the inductance at
t> 0, using s-domain analysis.
Solution: The circuit is shown in Figure 8.24.
The s-domain equivalent circuit of the circuit will be as
shown in Figure 8.25.
Now, the driving point impedance of the given networks is as follows:
Zs
s
s
s
s
s
()
.
=+
=
+
+
1
4
404
116
4
44
44
4s
=
+
+
116
4
16
44
s
s
s
s
=
+
⋅
+
+
+
+
116
4
16
44
116
4
16
44
s
s
s
s
s
s
s
s
=
+
+++
=
+
++++
()()
()()
11616
1164464
16256
445646464
2
2
2
ss
sss
ss
sssss
2
=
+
++
=
+
++
16161
128684
16161
4321751
2
2
ss
ss
ss
s
()
()
()
=
+
++
45 16
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