For a given network, the reduced incidence matrix is given by
Given that i_2=2 A , i_4=4 A , i_5=2 A , \text { determine } i_6 .
Branches | ||||||
Nodes | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1 | 0 | 0 | 1 | -1 | 0 |
2 | 0 | 1 | 0 | -1 | 1 | -1 |
3 | 0 | 1 | 0 | -1 | 1 | -1 |
4 | 0 | 0 | 1 | 0 | 0 | 1 |
The network can be drawn as
\begin{aligned} & i_6+i_4-i_5-i_2=0 \\ & i_6=-i_4+i_5+i_2=-4+2+2=0 A \end{aligned}