2. Resistive networks
Current divider
Formula
Tags
Detail
Splits the total current between branches: I1 = IT R2/(R1+R2).
Explore the idea
Variables
- currents (A)
- resistances (Ω).
Conditions
- Linear resistive DC network; unloaded divider unless RL is stated.
Intuitive explanation
For “Current divider”: the smaller resistor carries more current; I1=IT R2/(R1+R2).
Worked example
With , and , through flows .
Common mistakes
- forgetting that RL sits in parallel with R2
- using the unloaded divider with a load present
- mixing kΩ with Ω
Frequently asked questions
- What must be checked before using the Current divider relation?
- Check a resistive DC network, sign references and whether the divider is loaded.
Also known as
- voltage divider, current divider, Thévenin, Norton
Conventions
- V, A or Ω according to the left-hand side
Last reviewed: 2026-09-19