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Parallel Resistor Network — result sheet
Find the equivalent resistance, source current, branch currents, and power for resistors connected in parallel across one voltage.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: 1/Rₑq = Σ(1/Rᵢ); Iᵢ = V/Rᵢ; Iₜₒₜₐₗ = ΣIᵢ; Pₜₒₜₐₗ = VIₜₒₜₐₗ.
Every branch of an ideal parallel network has the same voltage, while its current depends on its resistance. Adding conductance terms makes the equivalent resistance smaller than every individual branch and lets the total source current be checked against the branch sum.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Branch resistances — Comma-separated positive resistance values in ohms.
- Applied voltage — V; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Branch resistances | 10, 20, 30 |
| Applied voltage | 12 |
5.455 Ω equivalent and 2.2 A source current
Assumptions and limits
- All listed resistors are connected across the same two ideal nodes.
- Resistance values are positive and constant over the calculation.
- The voltage source, wiring, tolerance, heat, and power-rating limits are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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