We can use Mason's rule to solve for the relationship between of any two nodes in the network.
Let T be the transfer ratio between two nodes
where , , ... are the various paths connecting the nodes,
is a first order loop,
is a second order loop,
is a first order loop that does not touch path ,
is a second order loop that does not touch path .
A first order loop is defined as the product of the branches encounter starting from a node and moving in the direction of the arrows back to its origin.
A second order loop is the product of two non-touching first order loops.
Example 1 We want to find the ratio .
Similarly, we can also find
Example 2 We want to find the power delivered from a source to a load as shown in Figure 14. The power delivered is
Figure 14: Flow graph for a load connected to a source
If the load is conjugately matched to the source, i.e., ,
P becomes the available power from the source