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6
Parallel Circuits
6.1 INTRODUCTION
Two network configurations, series and parallel, form the framework
for some of the most complex network structures. A clear understanding
of each will pay enormous dividends as more complex methods and
networks are examined. The series connection was discussed in detail
in the last chapter. We will now examine the parallel circuit and all the
methods and laws associated with this important configuration.
6.2 PARALLEL ELEMENTS
Two elements, branches, or networks are in parallel if they have two
points in common.
In Fig. 6.1, for example, elements 1 and 2 have terminals a and b in
common; they are therefore in parallel.
1
a
b
FIG. 6.1
Parallel elements.
In Fig. 6.2, all the elements are in parallel because they satisfy the
above criterion. Three configurations are provided to demonstrate how
the parallel networks can be drawn. Do not let the squaring of the con-
2
P