# Solved Problems-3

Problems-3
Branch current and loop current relations are expressed in matrix form as,

Draw the oriented graph.
Solution
We know that, . So, the tie-set matrix, here, is,

So, the graph consists of four loops and eight branches. Loop 1 consists of branch 1, 5 and 7. The orientations are given following the sign +1 or â€“1. Following the procedure, the complete oriented graph is shown below.