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