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## Mason's rule

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 