Current division refers to the splitting of current between the branches of the divider. The currents in the various branches of such a circuit will always divide in such a way as to minimize the total energy expended.
The formula describing a current divider is similar in form to that for the voltage divider. However, the ratio describing current division places the impedance of the unconsidered branches in the numerator, unlike voltage division where the considered impedance is in the numerator. This is because in current dividers, total energy expended is minimized, resulting in currents that go through paths of least impedance, therefore the inverse relationship with impedance. On the other hand, voltage divider is used to satisfy Kirchhoff's Voltage Law. The voltage around a loop must sum up to zero, so the voltage drops must be divided evenly in a direct relationship with the impedance.
and all values of resistors are known. The circuit can be solved on the basis of series and parallel connections. In particular we can find 
as follows.
Figure 1.15: A circuit solvable by series and parallel concepts
The total resistance seen from the source is
Therefore,
Using the current division formula, we can find
Finally, since
, we have
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