# Tie-Set Matrix and Loop Currents

**A**

*Tie-Set***is a set of branches contained in a loop such that each loop contains one link or chord and the remainder are tree branches.**

*tie-set*Consider the graph and the tree as shown. This selected tree will result in

*as we connect each link, in turn to the tree.*

**three fundamental loops****(a) Graph**

**(b) Tree of the graph**

**(c) Loop-1**

**(d)**

**Loop-2**

**(e)**

**Loop-3**