Wire Area Formula:
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Definition: This calculator determines the required cross-sectional area of a wire in square inches based on electrical parameters.
Purpose: It helps electricians and engineers select the proper wire size to ensure safe current carrying capacity with acceptable voltage drop.
The calculator uses the formula:
Where:
Explanation: The formula calculates the minimum wire area needed to maintain the specified voltage drop for a given current over a certain length.
Details: Correct wire sizing prevents excessive voltage drop (which can affect equipment performance), overheating, and potential fire hazards.
Tips: Enter the wire material resistivity (default 1.68×10⁻⁸ ohm-m for copper), wire length, current, and maximum acceptable voltage drop. All values must be > 0.
Q1: What's the default resistivity value?
A: The default is 1.68×10⁻⁸ ohm-m for copper at 20°C. Use 2.82×10⁻⁸ for aluminum.
Q2: Why is 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 acceptable voltage drop?
A: For most applications, 3% of the supply voltage is recommended (e.g., 3.6V for 120V systems).
Q4: How do I convert the result to AWG?
A: Use a wire gauge table to find the smallest AWG size with area ≥ your calculated value.
Q5: Does this account for temperature effects?
A: No, for high-temperature environments, use resistivity values at the expected operating temperature.