Biomedical Engineering Reference
In-Depth Information
EXAMPLE PROBLEM 9.26
For the circuit shown in Figure 9.35, find the steady-state response
i.
Solution
The impedance for the circuit is
Z
¼
j
4000
þ
1000
þ
j
100
¼
1000
j
3900
O
Using Ohm's law,
Returning to the time domain, the steady-state current is
i
¼
14
124 cos 500
ð
t
Þ m
A
EXAMPLE PROBLEM 9.27
Find the steady-state response
v
using the node-voltage method for the following circuit
.
+
1
Ω
1
1
H
5
1
2
Ω
v
s
= 50 sin 10
w
t
V
v
i
s
= 20 cos (10
w
t + 20
) A
F
10
−
Solution
The first step is to transform the circuit elements into their impedances, which for the capacitor
and inductor are
1
10
F
j
o
$
C
¼
j
O
1
5
H
$
j
o
L
¼
j
2
O
The phasors for the two sources are
Continued
