Current divider rule:

The current divider is used to find out the flowing current through the parallel circuit. Such a parallel circuit can be called as current divider since the current is divided into two branches of the circuit.

Let consider the branch currents are I1 and I2.

In the similar way of the voltage divider, we can calculate the expression for branch current.

The voltage drop across in the parallel branches is equal to the source voltage V. Hence,

Apply KCL, hence the total current
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Key Points:

From Equation 4 and 5 for calculating current I1, the resistance R2 is in the numerator and for calculating I2, the resistance R1 is in the numerator.

Use of current divider Rule:

The reason we use current division sometimes instead of Ohm’s law because the current division is simpler and easier. We can simply calculate the current flowing through the resistance. Also, we can use Ohm’s law but Ohm’s law needs the circuit voltage, current, and resistance. Using current divider, we can calculate the current easily.