Wire Size Formula:
From: | To: |
Definition: This calculator determines the minimum wire cross-sectional area needed to limit voltage drop in a DC electrical circuit.
Purpose: It helps electricians and engineers select appropriate wire sizes to ensure efficient power delivery in DC systems.
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, reduces power loss, minimizes heat generation, and ensures safe operation of electrical systems.
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: Why is resistivity important?
A: Different materials have different resistivities. Copper (1.68×10⁻⁸ ohm-m) is common, but aluminum (2.65×10⁻⁸ ohm-m) requires larger wire sizes for the same current.
Q2: Why multiply length by 2?
A: The factor of 2 accounts for both the positive and negative conductors in a typical DC circuit (round-trip distance).
Q3: What's a typical allowable voltage drop?
A: For most applications, 3% of system voltage is acceptable (e.g., 0.36V for a 12V system).
Q4: How do I convert m² to AWG?
A: Use a wire gauge table to find the closest standard wire size with area ≥ the calculated value.
Q5: Does this account for temperature effects?
A: No, for high-temperature environments, use a higher resistivity value or consult wire derating tables.