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