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EXAMPLE 8.23 Write the nodal equations for the network of Fig.
8.53.
I 1
Solution:
Steps 2 to 4:
2 A R1 6 � I2 3 A R2 4 �
1
V1 : �
1
1
V � V
6 � 3 � 1 3 � 2 � �2 A
Sum of
conductances
connected
to node 1
1
V2 : �
1
1
V � V
4 � 3 � 2 3 � 1 � �3 A
Sum of
conductances
connected
to node 2
Mutual
conductance
Mutual
conductance
1 1
and �V1 � �V2 ��2
2 3
R 3
3 �
FIG. 8.53
Example 8.23.
Step 1: The figure is redrawn with assigned subscripted voltages in Fig.
8.54.
I 1
2 A
V 1
R 1
6 �
R 3
3 �
1 7
��V1 � �V2 � 3
3 12
V 2
I 2 3 A R 2 4 �
Reference
FIG. 8.54
Defining the nodes for the network of Fig. 8.53.
Drawing current
from node 1
Supplying current
to node 2
NODAL ANALYSIS (FORMAT APPROACH) ⏐⏐⏐ 287