Wire Size Formula:
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Definition: This calculator determines the required wire cross-sectional area based on allowable voltage drop, current, length, and material resistivity.
Purpose: It helps electricians and engineers select proper wire sizes to ensure acceptable voltage levels at the load end of a circuit.
The calculator uses the formula:
Where:
Explanation: The formula calculates the minimum wire size needed to maintain voltage drop within acceptable limits for a given current over a specified distance.
Details: Proper wire sizing prevents excessive voltage drop which can cause equipment malfunction, reduced efficiency, and potential safety hazards.
Tips: Enter the resistivity (default 1.68×10⁻⁸ ohm-m for copper), wire length, current, and maximum allowable voltage drop. All values must be > 0.
Q1: What's a typical voltage drop allowance?
A: For most applications, 3% of supply voltage is acceptable (e.g., 3.6V for 120V systems).
Q2: Why is resistivity important?
A: Different materials (copper, aluminum) have different resistivities, affecting wire size requirements.
Q3: Why multiply by 2 in the formula?
A: The factor of 2 accounts for the round-trip path length (both supply and return conductors).
Q4: How do I convert m² to AWG?
A: Use a wire gauge table to find the closest standard AWG size with area ≥ calculated value.
Q5: What about AC circuits?
A: For AC, consider power factor and skin effect, but this formula provides a good approximation for typical residential wiring.