Page 183 - Basic Electrical Engineering

Figure 2.91

Kirchhoff’s voltage equations are

For loop I,

12 − 6I + 6 − 6(I + I ) = 0
2
1
1
or, 6(2I + I ) = 18
2
1
or, 2I + I = 3 (i)
1
2
For loop II,

24 − 3I + 6 − (I + I )6 − 12I = 0
2
2
2
1
or, 21I + 6 I = 30
2
1
or, 7I +2 I = 10 (ii)
1
2
2I + 7I = 10 (iii)
1
2
2I + I = 3 (i)
1
2
Subtracting,

6I = 7
2

or,