Taking the Laplace transform on both the sides, we get the equation as follows:
or
20
1010
s
Is
Is
s
=+
()
()
20
10
10
ss
Is
=+
()
or
201010
s
s
s
Is
=
+()
()
or 20 = 10 (s+ 1) I(s)
or
Is
s
()=
+
20
101
()
Is
s
()=
+
2
1
Taking the inverse Laplace transform on both the sides, the following form is obtained:
LI
sL
s
--
=
+
11
2
1
1
[()]
or
i(t) = 2e
-t
A
8.4 DC RESPONSE OF R–L SERIES CIRCUIT
Let us consider a series R–L circuit as shown in Figure 8.11. Let at t= 0, switch s is closed and
DC voltage V can be applied.
Let at t= 0,i= 0
Applying KVL, we get the equation as follows:
VR
itL
dit
dt
=+()
()
Taking the Laplace transform of the equation, ...
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