Wire Cross-Sectional Area Formula:
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Definition: This calculator determines the minimum wire cross-sectional area needed based on current, length, voltage drop, and material resistivity.
Purpose: It helps electricians and engineers select the proper wire gauge to ensure safe and efficient electrical installations.
The calculator uses the formula:
Where:
Explanation: The formula calculates the minimum wire size needed to maintain the voltage drop within acceptable limits 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 resistivity (default 1.68×10⁻⁸ ohm-m for copper), wire length in meters, current in amps, and maximum allowed voltage drop. All values must be > 0.
Q1: What's the default resistivity value for?
A: The default 1.68×10⁻⁸ ohm-m is for copper wire at 20°C. Use 2.65×10⁻⁸ 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 acceptable voltage drop?
A: For most applications, 3% of the supply voltage is acceptable (e.g., 3.6V for 120V circuits).
Q4: How do I convert m² to AWG?
A: Use a wire gauge table to find the smallest AWG 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.