# Learning Companion for the Resistive Current Divider

**URL:** <https://forum.digikey.com/t/learning-companion-for-the-resistive-current-divider/57780>\
**Category:** Education\
**Tags:** guided-learning, resistors\
**Created:** [July 24, 2025, 7:29pm UTC](https://forum.digikey.com/t/learning-companion-for-the-resistive-current-divider/57780 "2025-07-24T19:29:25Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![APDahlen](https://sea2.discourse-cdn.com/digikey/user_avatar/forum.digikey.com/apdahlen/32/40191_2.png) [@APDahlen](https://forum.digikey.com/u/APDahlen)\
**Post date:** [July 24, 2025, 7:29pm UTC](https://forum.digikey.com/t/learning-companion-for-the-resistive-current-divider/57780/1 "2025-07-24T19:29:25Z")

</div>

**This page is a learning companion, not a tutorial.**

This learning companion supports the canonical [Current Divider article](https://forum.digikey.com/t/current-divider-formula-and-derivation/43682) and its worked examples.

 ![The current divider equation may be used to solve for the current flowing through any resistor in this circuit.](https://global.discourse-cdn.com/digikey/original/3X/c/8/c8f240eff0b03f3cfc8e2e39b608178d59d17681.png)

## Purpose of this document

These questions may be assigned:

- as homework
- an interactive group discussion

## Audience Key

The following emojis are used to classify each question with alignment to Bloom’s taxonomy:

- 🛠 Technicians – Factual, practical, and troubleshooting-focused
- 🎓 Students – Foundational understanding with basic application
- 🧪 Capstone students and field engineers – Open-ended analysis with emphasis on system-level design tradeoffs
- 🍎 Teacher – Topics suited for discussion groups or guided exploration

### 1) Present the two recommended forms of the current divider equations. 🎓

Answer found directly in canonical article.

### 2) Present and then solve example problems for each equation. 🎓

Be sure to include examples involving multiple resistors. Be sure to work the problem backwards looking for the resistance given a desired supply and branch current.

> **Tech Tip** : This question requires active learning where you frame the material, provide a solution, and then verify that the solution is correct. Lean into it and work with a classmate to see who can come up with the best questions.

### 3) What is the current divider equation? 🎓

[Answer](https://forum.digikey.com/t/current-divider-guided-learning-q1-what-is-the-current-divider-equation/57778)

### 4) What are the properties of an ideal constant current source? 🎓

[Answer](https://forum.digikey.com/t/current-divider-guided-learning-q2-what-are-the-properties-of-an-ideal-constant-current-source/57782)

### 5) Show the algebraic steps to convert the general current divider equation into a two-resistor solution for I\_{R\_2}. 🎓

### 6) Given a parallel circuit consisting of 4 components, solve for R2 given the R2 branch current of 5A: 🎓 🍎

- 15 A constant current source
- R1 = 2 Ω
- R2 = unknown
- R3 = 4 Ω

[Answer](https://forum.digikey.com/t/current-divider-guided-learning-q8-worked-example/57796)

### 7) Contrast and compare the current divider equations and the voltage divider equations. 🎓 🍎

**Hint** : Construct a table showing the resistor pair equations as well as the multi resistor equations. Look for patterns that will help you remember all of the equations.

### 8) There is a tension in this article with regards to the “error prone equation.” 🎓 🧪 🍎

Describe the reasoning for the author’s apprehension. Do you personally agree with the author? Where is the point of confusion and how can it be avoided?

### 9) What is a Thévenin equivalent circuit? 🧪 🍎

How could it be used to simplify Figure 1 especially when solving for the R3 branch current.

### 10) What passive electrical component has constant current properties? 🧪

**Hint** : The comparison is transient and only applicable for the moment the device is turned off.

* * *

✍ Article by Aaron Dahlen, LCDR USCG (Ret.), Application Engineer at DigiKey. [Author bio](https://forum.digikey.com/u/apdahlen/summary).