Current Divider Formula in Parallel Circuit

The current Iᵢ through resistor Rᵢ is related to the total current I by: Iᵢ = (R(total))/(Rᵢ) I, where R(total) is the equivalent parallel resistance.

Syllabus path: Electromagnetism › DC Circuits › Series and Parallel Circuits

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CSCA Physics Formula Reference

Formula and explanation

The current Iᵢ through resistor Rᵢ is related to the total current I by: Iᵢ = (R(total))/(Rᵢ) I, where R(total) is the equivalent parallel resistance. Conditions: Pure resistive parallel circuit. Explanation: In a parallel circuit, the current divides inversely with the resistance. A smaller resistance gets a larger share of the current.

Related tutorial and examples

Series and Parallel Circuits

Topic: Electromagnetism > DC Circuits > Series and Parallel Circuits 1. Core Model Comparison: Series vs Parallel Distinguishing the connection method is the starting point for all circuit problems. Use the diagram below to intuitively understand the difference in current paths. …

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