Malla Reddy College of Engineering and Technology (MRCET)
Department of EEE ( 2017-18 )
Electrical Circuits EEE
NETWORK TOPOLOGY
After a thorough study of several circuits, it slowly becomes evident that many of the circuits we
see
have something in common, at least in terms of the arrangement of components. From this
understanding, it is possible to create a more simplified view of circuits which we call
network
topology.
Basic Definitions:
Topology:
It is a branch of geometry which is concerned with those properties of a geometrical
figure which are unchanged when the figure is twisted, bent, folded, stretched, squeezed, or tied
in knots, with the provision that no parts of the figure are to be cut apart or to be joined together.
A sphere and tetrahedron
are topologically identical, as are a square and a circle.
In terms of
electric circuits, then, we are not now concerned with the particular types of elements appearing
in the circuit, but only with the way in which branches and nodes are arranged.
As a matter of
fact, we usually suppress the nature of the elements and simplify the
drawing of the circuit by
showing the elements as lines. The resultant drawing is called a linear graph, or simply a graph.
A circuit and its graph are shown in Fig.1(a)and (b) below . Note that all nodes are ident ified by
heavy dots in the graph. Since the topological properties of the circuit or its graph are unchanged
when it is distorted, the three graphs shown in Fig. 2 below are all topologically
identical with
the circuit and graph of Fig.1
Malla Reddy College of Engineering and Technology (MRCET)
Department of EEE ( 2017-18 )
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