In electrical engineering and home wiring, voltage drop is the decrease in electrical potential along the path of a current flowing in an electrical circuit. Because all physical wires have some internal electrical resistance, some energy is lost as heat as current travels through them. If the wire is too thin or the run is too long, the voltage drop will exceed safe limits, causing connected devices to run inefficiently, overheat, or fail to start.
To calculate voltage drop in a single-phase circuit, the formula is: Voltage Drop = (2 × L × R × I) / 1000. In this equation, L is the one-way length of the wire run in feet, R is the electrical resistance of the wire material per 1,000 feet, and I is the current load in amperes (amps).
The factor of 2 accounts for the return path of the current (hot and neutral wires). Wire size (measured in AWG or mm²) and material (copper vs aluminum) directly establish the resistance value R. To convert run lengths between feet and meters, check out our translating measuring units tool.
To find percentage losses, use our percentage rates converter. For basic math operations, use our standard daily math helper.
The National Electrical Code (NEC) recommends that the maximum voltage drop for branch circuits should not exceed 3%, and the total drop for both the feeder and branch circuits combined should not exceed 5% at maximum load.
Adhering to these guidelines ensures equipment efficiency, prevents insulation breakdown, and protects properties from electrical fire risks. Our online calculator computes both absolute drop voltage and percentage loss values to verify code compliance.
Suppose you want to run a 120-volt circuit over a 100-foot copper wire (using 14 AWG wire) to power a 15-amp space heater.
The resistance of 14 AWG copper wire is approximately 3.07 ohms per 1,000 feet. Setting up the single-phase formula: Drop = (2 × 100 feet × 3.07 ohms × 15 amps) / 1000 = (9210) / 1000 = 9.21 volts. Subtracting this from 120V leaves 110.79V at the heater. The percentage drop is 9.21 / 120 = 7.68%. Because 7.68% exceeds the recommended 3% limit, you should increase the wire size to 10 AWG to reduce the drop to a safe 3.02% (3.63V). This example shows how voltage calculations protect electrical circuits.