Wire Size Formula:
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Definition: This calculator determines the minimum wire cross-sectional area needed to limit voltage drop in an electrical circuit.
Purpose: It helps electricians and engineers select appropriate wire sizes to ensure proper voltage levels at the load.
The calculator uses the formula:
Where:
Explanation: The formula calculates the minimum wire size needed to keep voltage drop within acceptable limits for a given current and wire length.
Details: Correct wire sizing prevents excessive voltage drop which can lead to equipment malfunction, reduced efficiency, and potential safety hazards.
Tips: Enter the conductor resistivity (default 1.68×10⁻⁸ ohm-m for copper), wire length, current, and maximum allowable voltage drop. All values must be > 0.
Q1: Why is the resistivity value multiplied by 2?
A: The factor of 2 accounts for the round-trip path of current (both the "hot" and "neutral" wires in AC circuits).
Q2: What's a typical resistivity value for copper?
A: Copper has a resistivity of about 1.68×10⁻⁸ ohm-m at 20°C. For aluminum, use 2.65×10⁻⁸ ohm-m.
Q3: What's an acceptable voltage drop?
A: For most applications, 3% voltage drop is the maximum recommended for branch circuits and 5% for feeders.
Q4: How does temperature affect the calculation?
A: Higher temperatures increase resistivity. For precise calculations, use resistivity values at operating temperature.
Q5: How do I convert the result to AWG or mm²?
A: Compare the calculated area with standard wire size tables to select the appropriate gauge.