Duality between Series and Parallel Circuits.

There are certain peculiar pattern of relationship between
series and parallel circuits. For example, in a series circuit, current is the
same whereas in a parallel circuit, voltage is the same. Also in a series
circuit, individual voltages are added and in a parallel circuit, individual
currents are added. It is seen that while comparing series and parallel
circuits, voltage takes the place of current and current takes the place of voltage.
Such a pattern is known as “duality” and the two circuits are said to be duals
of each other.
As arranged in the table below, the equations involving
voltage, current and resistance in a series circuit have a corresponding dual
counterparts in terms of current, voltage and conductance for a parallel
circuit.
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