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312 ⏐⏐⏐ METHODS OF ANALYSIS AND SELECTED TOPICS (dc)
R 1
2 �
E 1
R 1
5.6 k�
10 V
2 � R1 R3 3 �
25 V E 1 E 3 60 V
R 3
4 �
3.3 k�
FIG. 8.105
Problems 13, 18, and 26.
*13. Using branch-current analysis, find the current through
each resistor for the networks of Fig. 8.105. The resistors
are all standard values.
R3 R2 2.2 k�
1.2 k�
R2 9 V
E2 30 V
8.2 k�
E3 20 V
R3 9.1 k�
E2 R4 E 4
6 V
1.1 k�
(I) (II)
6 V
E1 10 V R2 1 � R4 5 �
I 3
FIG. 8.107
Problems 15, 20, and 28.
a
R 2
5 �
E 2
I 2
b
V ab
20 V
FIG. 8.106
Problems 14, 19, and 27.
R 1
E 1
*14. For the networks of Fig. 8.106, determine the current I 2
using branch-current analysis, and then find the voltage
V ab.
3 A
R 1
a
Vab R2 E2 4 �
3 �
(I) (II)
R 5
3 �
E 2
6 V
I 1
I 2
6 V
R 4
b
6 �
R 3
E 3
8 �
4 V
*15. For the network of Fig. 8.107:
a. Write the equations necessary to solve for the branch
currents.
b. By substitution of Kirchhoff’s current law, reduce the
set to three equations.
c. Rewrite the equations in a format that can be solved
using third-order determinants.
d. Solve for the branch current through the resistor R 3.
N A