Current Dividers: The Mirror of Voltage Dividers
Current splits across parallel paths — and the formula is the opposite of what you'd expect
If voltage dividers split voltage, current dividers split current. They're the mirror image — and once you see the connection, you'll never confuse them again.
The Big Idea
A current divider has multiple resistors in parallel . Current enters the junction and splits across the available paths. The wider the path (lower resistance), the more current flows through it.
Current divider = current splits across parallel paths. More current flows through the path with less resistance.
Think of a highway splitting into multiple lanes. The widest lane (least resistance) gets the most traffic.
The Formula
For two resistors in parallel:
I₁ = I_total × R₂ / (R₁ + R₂)
I₂ = I_total × R₁ / (R₁ + R₂)
Notice something? It's almost the voltage divider formula — but swapped. In a voltage divider, the bigger resistor gets more voltage.…