Page 63 - Schaum's Outline of Theory and Problems of Electric Circuits

ANALYSIS METHODS
52

Fig. 4-23 [CHAP. 4
2 32 3 2 3
1 1 1 1 V s =20
6 20 þ þ 4 4 76 V 1 7 6 7
7
6 76 7 ¼ 6 7
4 1 1 1 1 54 5 4 5
þ þ V 2 0
4 4 6 6
Solving for V 2 ,

0:443 V s =20

0:250 0
V 2 ¼ ¼ 0:0638V s
0:443 0:250

0:250 0:583
Then 7:5 10 3 ¼ I 0 ¼ V 2 ¼ 0:0638V s
6 6
from which V s ¼ 0:705 V.

4.10 In the network shown in Fig. 4-24, find the current in the 10-
resistor.

Fig. 4-24
The nodal equations in matrix form are written by inspection.
2 32 3 2 3
1 1 1
6 þ 76 V 1 7 6 2 7
6 5 10 5 76 7 ¼ 6 7
4 1 1 1 54 5 4 5
þ V 2 6
5 5 2

2 0:20

6 0:70
V 1 ¼ ¼ 1:18 V
0:30 0:20
0:20 0:70