Voltage Drop Calculator

Voltage Drop

3.95 V (3.29%)

The Numbers

  • Voltage at the load: 116.05 V

Analysis

  • A 3.29% drop exceeds the commonly-cited NEC guideline of 3% for a branch circuit — consider a thicker wire gauge or a shorter run.

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How This Calculator Works

Every wire has some resistance, so some voltage is always lost between the source and whatever it’s powering — voltage drop is how much. Enter the wire’s material and gauge, the current it carries, its one-way length, and the source voltage, and this calculator shows exactly how many volts (and what percentage) are lost over that run.

This matters most on longer wire runs — a garage or shed sub-panel, an extension circuit, or a solar array’s home run back to an inverter — where too much voltage drop can make lights dim, motors run hotter and less efficiently, and other equipment misbehave even though it’s still technically receiving power.

The Formula

Voltage Drop=2×K×Current×One-Way LengthCircular Mils\text{Voltage Drop} = \frac{2 \times \vA{K} \times \vB{\text{Current}} \times \vC{\text{One-Way Length}}}{\vD{\text{Circular Mils}}}
  • K is a resistivity constant specific to the wire material (copper or aluminum) — a long- standing, stable physical property, not something that changes over time.
  • Circular Mils is the wire gauge’s cross-sectional area, looked up from the standard AWG (American Wire Gauge) reference table.
  • The factor of 2 accounts for the round trip the current actually makes — out to the load through one conductor and back through the other — even though you only enter the one-way distance.

Worked Example

A 12 AWG copper wire carrying 20 amps over a 50-foot one-way run on a 120-volt circuit:

  1. 12 AWG copper has a cross-sectional area of 6,530 circular mils, and copper’s K constant is 12.9.
  2. Voltage drop: 2×12.9×20×506,5303.95 volts\frac{2 \times 12.9 \times 20 \times 50}{6{,}530} \approx 3.95 \text{ volts}.
  3. As a percentage of the source: 3.95÷120×1003.29%3.95 \div 120 \times 100 \approx 3.29\% — just over the commonly-cited 3% guideline for a branch circuit, meaning a thicker gauge or a shorter run would be worth considering.

Source: Standard voltage-drop formula and AWG wire gauge reference table.

Frequently Asked Questions

How much voltage drop is acceptable?

The National Electrical Code (NEC) commonly-cited guideline is to keep voltage drop at or under about 3% for a branch circuit (5% combined with the feeder) — below that, equipment generally runs as expected; above it, motors and other equipment can run inefficiently or misbehave.

Why does the length I enter get doubled in the calculation?

Current has to travel the full round trip — out to the load through one conductor, then back through the return conductor — even though you only measure the one-way distance. The formula's factor of 2 accounts for that automatically, so just enter the one-way length.

Why does aluminum wire have more voltage drop than copper at the same gauge?

Aluminum has higher electrical resistance than copper, so a run of the same length and gauge loses more voltage in aluminum — which is why aluminum wiring is often sized a gauge or two thicker than copper would need for the same circuit.