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Electronics Handbook/Circuits/Current Divider
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If two elements are in parallel, the voltage across them must be the same, but the current divides according to the resistances.
A simple circuit with two (or more) resistors in parallel with a source is called a current divider.
Image:Resistorsparallel.png
Figure B: Parallel Resistors.
Mathematical Formula
If a voltage is applied across the resistors in Figure B with only and for the moment then the current flowing in the circuit, before the division, is according to Ohm’s Law:
i
Using the equivalent resistance for a parallel combination of resistors is
p
The current through according to Ohm’s Law is
s
Dividing equation s by p
d
Similarly
b
In general with resistors the current is
x
Or possibly more simply
y
Where
z