Wire Size Formula:
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Definition: This calculator determines the minimum wire cross-sectional area needed based on electrical current, length, material resistivity, and allowable voltage drop.
Purpose: It helps electricians and engineers select properly sized wires to ensure safe and efficient electrical installations.
The calculator uses the formula:
Where:
Explanation: The formula calculates the minimum wire size needed to limit voltage drop to an acceptable level for a given current over a specified distance.
Details: Correct wire sizing prevents excessive voltage drop, reduces energy loss, minimizes heat generation, and ensures electrical safety.
Tips: Enter the wire material 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 the default resistivity value?
A: The default is 1.68×10⁻⁸ ohm-m, which is for copper at 20°C. Use 2.82×10⁻⁸ ohm-m for aluminum.
Q2: Why is the length multiplied by 2?
A: The factor of 2 accounts for the round-trip length of the circuit (both hot and neutral wires).
Q3: What's a typical allowable voltage drop?
A: For most applications, 3% of supply voltage is recommended (3.6V for 120V circuits).
Q4: How do I convert m² to AWG?
A: Use a wire gauge table to find the closest standard wire size with area ≥ calculated value.
Q5: Does this account for temperature effects?
A: No, for high-temperature environments, use resistivity values at operating temperature.