Wire Cross-Sectional Area Formula:
From: | To: |
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 keep voltage drop within acceptable limits for a given current over a specified distance.
Details: Correct wire sizing prevents excessive voltage drop, overheating, energy loss, and potential fire hazards while ensuring optimal system performance.
Tips: Enter the material resistivity (default 1.68×10⁻⁸ ohm-m for copper), wire length in meters, current in amps, and maximum allowable voltage drop in volts. 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 2.82×10⁻⁸ for aluminum.
Q2: Why is the length multiplied by 2?
A: The factor of 2 accounts for the round-trip length (both hot and neutral wires) in single-phase systems.
Q3: What's a typical allowable voltage drop?
A: For branch circuits, 3% is common (3.6V for 120V systems). For feeders, 2% is often used.
Q4: How do I convert m² to AWG?
A: Use our AWG Conversion Tool or refer to standard wire gauge tables that include cross-sectional areas.
Q5: Does this account for temperature effects?
A: No, for high-temperature environments, use adjusted resistivity values or consult NEC guidelines.