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# Current Divider Rule

It can be quite useful to determine how a current entering two parallel resistors “divides” between them.

Consider the circuit shown below: We replace the parallel connection of R1   and R2  by its equivalent resistance.

Thus, Ohm’s Law gives: By application of Ohm’s Law again, the current in R1  is i1  = v R1 and thus: Similarly, the current in R2 is : These equations describe how the current is divided between the resistors. Because of this, a pair of resistors in parallel is often called a current divider. Note that a larger amount of current will exist in the smaller resistor – thus current tends to take the path of least resistance!

Example:

We want to find the current i in the circuit below: The total current delivered by the source is: Therefore the desired current is: #### Electronic Symbols

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