Series and Parallel Topologies
For a network with two branches, there are only two possible topologies: series and parallel.
Even for these simplest of topologies, there are variations in the way the circuit can be presented.
For a network with three branches there are four possible topologies;
Note that the parallel/series topology is another representation of the Delta topology discussed later.
Series and parallel topologies can continue to be constructed with greater and greater numbers of branches ad infinitum. The number of unique topologies that can be obtained from n branches is 2n-1. The total number of unique topologies that can be obtained with no more than n branches is 2n-1.
Read more about this topic: Topology (electrical Circuits)
Famous quotes containing the words series and/or parallel:
“Depression moods lead, almost invariably, to accidents. But, when they occur, our mood changes again, since the accident shows we can draw the world in our wake, and that we still retain some degree of power even when our spirits are low. A series of accidents creates a positively light-hearted state, out of consideration for this strange power.”
—Jean Baudrillard (b. 1929)
“The beginnings of altruism can be seen in children as early as the age of two. How then can we be so concerned that they count by the age of three, read by four, and walk with their hands across the overhead parallel bars by five, and not be concerned that they act with kindness to others?”
—Neil Kurshan (20th century)