Quick Answer
A 100-foot run of 12 AWG copper wire carrying 15 amps at 120 volts has a voltage drop of approximately 5.93 volts (4.94%), which exceeds the 3% recommendation.
Common Examples
| Input | Result |
|---|---|
| 120V, 15A, 50 ft, 12 AWG copper | VD: 2.97V (2.47%) |
| 120V, 20A, 75 ft, 10 AWG copper | VD: 3.73V (3.11%) |
| 240V, 30A, 100 ft, 8 AWG copper | VD: 4.69V (1.95%) |
| 120V, 15A, 100 ft, 12 AWG aluminum | VD: 9.73V (8.11%) |
How It Works
This calculator uses the standard voltage drop formula for single-phase circuits:
VD = (2 x K x I x L) / CM
Where:
- VD = voltage drop in volts
- K = resistivity constant of the conductor material in ohm-cmil/ft. For copper, K = 12.9. For aluminum, K = 21.2.
- I = load current in amperes
- L = one-way length of the wire run in feet (the formula multiplies by 2 to account for the full circuit, out and back)
- CM = circular mil area of the wire, determined by the AWG gauge
The percent voltage drop is calculated as (VD / source voltage) x 100.
The voltage at the load is the source voltage minus the voltage drop.
Wire Gauge and Circular Mils
Each AWG (American Wire Gauge) size corresponds to a specific cross-sectional area measured in circular mils. Larger gauge numbers indicate smaller wire. For example, 14 AWG has 4,110 circular mils, while 4/0 AWG has 211,600 circular mils. Larger wire (lower gauge number or higher “ought” designation) has more circular mils and therefore less resistance, resulting in lower voltage drop.
The 3% Rule
The National Electrical Code (NEC) recommends that voltage drop on branch circuits not exceed 3%, and that the total voltage drop from the service entrance to the farthest outlet not exceed 5%. Exceeding these thresholds can cause equipment to underperform, lights to dim, and motors to overheat. This calculator flags any result that exceeds the 3% branch circuit recommendation.
Worked Example
For a 120V circuit with 15A load, 50 feet of 12 AWG copper wire: K = 12.9 (copper). CM = 6,530 (12 AWG). VD = (2 x 12.9 x 15 x 50) / 6,530 = 19,350 / 6,530 ≈ 2.96 volts. Percent drop = (2.96 / 120) x 100 ≈ 2.47%. Voltage at load = 120 - 2.96 = 117.04V. This is within the 3% recommendation. If the same run were 100 feet instead of 50, the voltage drop would double to approximately 5.93V (4.94%), exceeding the 3% threshold. In that case, upgrading to 10 AWG wire would bring the drop to approximately 3.73V (3.11%), or 8 AWG to approximately 2.34V (1.95%).
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