Figure 1: In a current divider, current splits inversely proportional to resistance. The branch with the smallest resistance carries the largest share of the total current.
Table of Contents
What Is a Current Divider?
A current divider is a parallel circuit that splits a total current into smaller branch currents. Each branch carries a share of the total current that is inversely proportional to its resistance — smaller resistors carry more current, larger resistors carry less. This is the dual of a voltage divider, where voltage divides proportionally to resistance in a series circuit.
The Parallel Circuit Calculator provides the full parallel analysis including voltage and power. This calculator focuses specifically on the current-splitting behaviour.
The Current Divider Formula
Two branches only: I₁ = IT × R₂ / (R₁ + R₂)
Where RT is the total parallel resistance of all branches.
Note that in the two-branch formula, the “other” resistor (R₂) appears in the numerator, not the branch’s own resistor. This reflects the inverse relationship: a larger R₂ pushes more current through R₁.
Worked Example — Two-Branch Divider
I₁ = 100 × 2200 / (1000 + 2200) = 100 × 0.6875 = 68.75 mA
I₂ = 100 × 1000 / (1000 + 2200) = 100 × 0.3125 = 31.25 mA
The 1 kΩ branch carries more than twice the current of the 2.2 kΩ branch, as expected from the inverse relationship. The Circuit Current Calculator can verify each branch independently.
Worked Example — Three-Branch Sensor Circuit
RT = 1/(1/47 + 1/100 + 1/220) = 28.08 Ω
I₁ = 500 × 28.08/47 = 298.7 mA (59.7%)
I₂ = 500 × 28.08/100 = 140.4 mA (28.1%)
I₃ = 500 × 28.08/220 = 63.8 mA (12.8%)
Worked Example — Equal Branches
Each branch carries I/n = 1/4 = 250 mA
With equal branch resistances, the current divides equally. This is used in high-current applications where you parallel multiple resistors to share the load and spread heat dissipation. The Power Dissipation Calculator helps verify each branch stays within its rating.
Current Divider vs Voltage Divider
A voltage divider uses series resistors to split voltage. A current divider uses parallel resistors to split current. The key difference is that voltage divides proportionally to resistance (larger R gets more voltage), while current divides inversely (smaller R gets more current). Both are fundamental circuit analysis tools that appear throughout the Series and Parallel calculators.
Practical Applications
Current dividers appear in ammeter shunt resistors (diverting most current around the meter), transistor biasing networks, current mirrors in analogue IC design, current sensing, and LED arrays where current must split between multiple strings. The Wheatstone Bridge Calculator uses the current divider principle in its balanced-bridge analysis.
Frequently Asked Questions
Can the current in one branch exceed the total?
What if one branch resistance is much smaller?
Does the current divider work for AC circuits?
How is this different from the Parallel Circuit Calculator?
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