Page 97 - LAPLACE TRANSFORM

1 t
Ri(t) + + ∫ i(t)dt = Vs
C 0

By applying the Laplace transform method;

1 Vs
R I(s) + L [sI(s) − i(0)] + [I(s) + q0] =
CS

By assuming zero initial condition;

I(s) Vs
R I(s) + L sI(s) + =
C
I(s) Vs
7I(s) + sI(s) + =
.

( )
( ) + ( ) + =

(b)

10 I(s) 100
7I(s) + sI(s) + =
s
10 100
I(s) { 7 + s + } =
s
2
7 + +10 100
I(s) { } =
s
2
I(s) (s + 7s + 10) = 100

I(s) = 100 = 100 = A + B
2
(s + 7s + 10) (s+2) ( +5) (s+2) (s+5)

100 = A (s + 5) + B (s + 2)

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