Biomedical Engineering Reference
In-Depth Information
Summing the currents leaving node 1 gives
2
ð
V
1
5
Þþ
3
V
1
þ
2
ð
V
1
V
2
Þ ¼
0
which simplifies to
7
V
1
2
V
2
¼
10
Summing the currents leaving node 2 gives
2
ð
V
2
V
1
Þ þ
4
V
2
þ
3
¼
0
which simplifies to
3
The two node equations are written in matrix format as
7
2
V
1
þ
6
V
2
¼
V
1
V
2
¼
2
10
26
3
and solved with MATLAB as follows:
>>
¼
A
[7
2;
2 6];
>>
¼
F
[10;
3];
>>
¼
V
A\F
¼
V
1.4211
0.0263
Thus,
V
1
¼
1.4211 V.
EXAMPLE PROBLEM 9.6
For the following circuit, find
V
3
using the node-voltage method.
1/4
Ω
2I
d
1/4
Ω
1/2
Ω
+
I
d
5 A
1/3
Ω
3 A
V
3
1
Ω
-
Continued
