How the wire size formula works
The calculator uses the circular-mil method to find the minimum conductor cross-section that keeps voltage drop within the specified limit. It multiplies the resistivity constant of the conductor material by twice the one-way distance (to account for the full circuit length) and the load current, then divides by the allowable voltage drop in volts.
Once the minimum circular-mil area is known, the calculator looks up the smallest standard AWG gauge whose area meets or exceeds that requirement.
Required CM = (2 x K x I x D) / V_drop
K is the resistivity constant (12.9 for copper, 21.2 for aluminum), I is current in amps, D is one-way distance in feet, and V_drop is the allowable voltage drop in volts (system voltage times the drop percentage).
Actual V_drop = (2 x K x I x D) / CM_wire
Calculates the real voltage drop using the circular-mil area of the selected wire gauge.