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Building / DIY

Voltage Drop Calculator for Copper and Aluminum Wire

This voltage drop calculator estimates voltage drop and percent drop for copper or aluminum wire from AWG gauge, one-way length, load amps, and system volts.

Circular mils come from the table below.

Distance from the source to the load, one way. The formula accounts for the return path.

Current the load draws.

120 V and 240 V are common on single-phase branch circuits.

Phase

Single-phase uses a factor of 2. Three-phase uses √3, about 1.732, the same factor as the watts to amps calculator.

Conductor

K is 12.9 for copper and 21.2 for aluminum. Aluminum needs a larger size for the same drop.

Circular-mil table
SizeCircular mils
18 AWG1,620
16 AWG2,580
14 AWG4,110
12 AWG6,530
10 AWG10,380
8 AWG16,510
6 AWG26,240
4 AWG41,740
3 AWG52,620
2 AWG66,360
1 AWG83,690
1/0 AWG105,600
2/0 AWG133,100
3/0 AWG167,800
4/0 AWG211,600
250 kcmil250,000
300 kcmil300,000
350 kcmil350,000
400 kcmil400,000
500 kcmil500,000

Examples

Each example is single-phase copper. The 12 AWG run is over the 3% guideline. The 10 AWG run is under it.

Voltage drop

7.902 V

6.58% drop · 112.098 V at the load

Above the 3% branch-circuit guideline.

VD = 2 × K × I × L / CM = 2 × 12.9 × 20 × 100 / 6,530 = 7.902 V

This is an estimate only. Follow local code and have a licensed electrician design critical circuits.

How to use

  1. Choose the AWG or kcmil size. Circular mils for that size come from the table on the form.
  2. Enter the one-way length in feet, the load in amps, and the system voltage.
  3. Choose single-phase or three-phase, and copper or aluminum.
  4. Read voltage drop, percent drop, and voltage at the load. A result above 3% is flagged.

Formula

Single-phase voltage drop is VD = 2 × K × I × L / CM. Three-phase voltage drop is VD = √3 × K × I × L / CM, where √3 is about 1.732. K is 12.9 for copper and 21.2 for aluminum. I is load amps, L is one-way length in feet, and CM is circular mils. Percent drop is VD ÷ system volts × 100. Voltage at the load is system volts − VD.

Example. 12 AWG copper (6,530 circular mils), 100 ft one way, 20 A, 120 V, single-phase: VD = 2 × 12.9 × 20 × 100 / 6,530 = 7.902 V, which is 6.58% and leaves 112.098 V at the load.

Example. The same run on three-phase uses √3 instead of 2, so the drop is 6.843 V (5.70%).

Example. The same single-phase run in aluminum (K = 21.2) drops 12.986 V (10.82%).

Branch-circuit guideline

NEC informational notes suggest no more than 3% voltage drop on a branch circuit and 5% total for the feeder plus the branch. Those notes are not a sizing method by themselves. Conductor size also depends on ampacity, temperature, and how the wire is installed. This is an estimate only. Follow local code and have a licensed electrician design critical circuits.

Frequently asked questions

What is the voltage drop formula?

For single-phase: VD = 2 x K x I x L / CM, where K is about 12.9 for copper (21.2 for aluminum), I is amps, L is one-way length in feet, and CM is the wire's circular mils.

How much voltage drop is acceptable?

NEC informational notes suggest no more than 3% on a branch circuit and 5% total for feeder plus branch.

How do I reduce voltage drop?

Use a larger wire (smaller AWG number), shorten the run, raise the voltage, or reduce the load.

Is aluminum wire worse?

Aluminum has higher resistance than copper, so it needs a larger size for the same drop.

Is this a substitute for an electrician?

No. It is an estimate; follow local code and have a licensed electrician design critical circuits.