Question

Draw the graph, onetree and it's co-tree for the
follocoing circuits
​

Answer 1

Answer:

Explanation:

A tree of electric network is set of branches which is a set of branches which contains all the nodes of the network but does not form any closed path. It is similar to what a network topology is to a communications network.

Let us explain the tree of electric network as defined above.

electric network

The above figure-1, shows an electric network with five nodes 1,2,3,4 and 5.

Now, if we remove the branches 1-2, 2-3, 3-4 and 4-1 from the circuit, we will get, the graph as shown below in figure-2.

tree of electric network

The above graph as shown in the figure-2, contains all the five nodes of the network, but does not from any closed path. This is an example of tree of electric network.

In this way numbers of such tree can be formed in a single electric circuit, which contains same five nodes without containing any closed loop.

tree of the electric network

The branches of a tree are also known as twigs.

In figure-2, figure-3 and figure-4 we can see that, there are four twigs or branches of tree in each tree of that electric network. The number of nodes in the network is 5.

So, in this case,

This is a general equation for all trees of any electric network. The general equation is normally written as,

Where, l is the number of branches in a tree and n is the number of nodes in the network from which the trees are formed.