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LoadCairn / Electrical planning

Voltage drop calculator.

Estimate conductor voltage drop for a single- or three-phase circuit with copper or aluminum conductors. The selected conductor size uses its NEC circular-mil area.

Inputs

Adjust the estimate

Results update as you change a value. Calculations run in this browser.

V
A
ft

Metric lengths are converted to feet using 1 m = 3.28084 ft.

Live results

Current estimate

Voltage drop

6.32 V

Percent voltage drop

5.27%

Above the 3% branch-circuit recommendation.

Estimated load voltage

113.68 V

Input voltage less the estimated conductor drop.

Conductor constant K

12.9 ohm-cmil/ft

At 75°C for the selected conductor material.

Formula and calculation trace

Single-phase: VD = 2 × K × I × L ÷ CM · Three-phase: VD = √3 × K × I × L ÷ CM

  1. Conductor constant: K = 12.9 ohm-cmil/ft for copper at 75°C.
  2. Conductor area: 12 AWG = 6,530 cmil.
  3. Length conversion: L = 100 ft = 100.00 ft.
  4. Single-phase drop: VD = 2 × 12.9 × 16 A × 100.00 ft ÷ 6,530 cmil = 6.3216 V.
  5. Percent drop = 6.3216 V ÷ 120 V × 100 = 5.2680%.
  6. Load voltage = 120 V − 6.3216 V = 113.6784 V.

Published source: NEC (NFPA 70), Chapter 9 conductor properties (Table 8 circular-mil areas); K values are the stated 75°C copper and aluminum approximations.

Assumptions and limits

  • Uses one-way circuit length, a 75°C conductor constant, and the selected circular-mil area; it does not calculate conductor impedance, reactance, power factor, or temperature correction.
  • The 3% branch-circuit and 5% feeder-plus-branch voltage-drop values are NEC informational recommendations, not code requirements.
  • The load-voltage result subtracts the estimated drop from the entered circuit voltage.

Every result is an estimate for planning only—not a substitute for a licensed engineer's design or manufacturer data.

Planning guide / voltage-drop

Introduction

The voltage drop calculator estimates the voltage lost along a conductor for a single-phase or three-phase circuit. It uses entered voltage, load current, conductor material, conductor size, and one-way route length. The result includes volts of estimated drop, the drop as a percentage of entered voltage, and estimated load voltage after subtracting the drop. It is useful for comparing circuit scenarios while planning a route or reviewing a proposed conductor size.

Choose the phase and material to match the circuit being evaluated. Use a current value that belongs to the same load scenario as the entered voltage, and use the planned one-way route length. Select a conductor size from the list so the calculator can use its circular-mil area. If the route length is entered in meters, the calculator converts it to feet before using the formula.

This is a simplified resistive estimate. It uses a stated 75°C conductor constant and listed circular-mil areas; it does not compute conductor impedance, reactance, power factor, or temperature correction. It can help identify a scenario for further review, but it does not establish equipment performance or a code determination. The on-page 3% and 5% values are informational recommendations described by the calculator as not code requirements.

Method / Calculation

How it works

The calculation uses a material constant K, current I, one-way length L, and circular-mil conductor area CM. The single-phase formula includes a factor of two for the outgoing and return path represented by this simplified model. The three-phase expression uses the square root of three. These are separate formulas; select the phase that matches the circuit rather than applying both factors.

K is 12.9 ohm-cmil per foot for copper and 21.2 for aluminum in this calculator. The selected conductor size supplies CM: for example, the listed 12 AWG entry is 6,530 circular mils. The same numeric length must be in feet before substituting it. When the user selects meters, the program multiplies that length by 3.28084 to convert it.

After calculating voltage drop in volts, the tool divides that value by the entered circuit voltage and multiplies by 100 for percent drop. Estimated load voltage is the entered voltage minus the calculated drop. The calculator’s formula trace shows the selected K, CM, and converted length so the substitution can be checked.

Single-phase VD = 2 × K × I × L ÷ CM

Three-phase VD = √3 × K × I × L ÷ CM

Percent drop = VD ÷ entered circuit voltage × 100

Estimated load voltage = entered circuit voltage − VD; meters × 3.28084 = feet

  1. Select single-phase or three-phase and enter the circuit voltage and current. The current is the scenario input; it is not inferred from load kW or from conductor ampacity.
  2. Select copper or aluminum. This determines K: 12.9 for copper and 21.2 for aluminum in the calculator’s stated approximation.
  3. Choose the conductor size to obtain the listed circular-mil area CM. CM is the circular-mil area from the calculator’s table, not an area in square inches or a diameter.
  4. Enter the one-way route length in feet or meters. If it is in meters, convert to feet by multiplying by 3.28084 before substituting into the equation.
  5. Multiply the phase factor by K, current, and length, then divide by CM. Keep the single-phase factor 2 or the three-phase factor √3 aligned with the selected phase.
  6. Divide the voltage-drop result by the entered voltage and multiply by 100. Subtract the drop in volts from entered voltage to produce the estimated load voltage.

The calculator cites NEC (NFPA 70), Chapter 9 conductor properties and Table 8 circular-mil areas, with K values stated as 75°C copper and aluminum approximations. Its assumptions explicitly omit impedance, reactance, power factor, and temperature correction. If those factors matter for the actual circuit, the simplified result is not the complete calculation.

The percentage comparison is a review cue. The page describes 3% for a branch circuit and 5% for feeder plus branch as informational recommendations, not requirements. Use the values and language displayed by the calculator, then verify applicable project criteria and perform the engineering review needed for the actual installation.

Calculation trace / Illustrative inputs

Fully worked example

Illustrative calculation: use the calculator’s starting values of a 120 V single-phase circuit, 16 A current, copper conductor, 12 AWG size, and a 100 ft one-way length. This is a worked scenario, not a measurement from an installed circuit.

  1. For copper, use K = 12.9 ohm-cmil/ft. The listed area for 12 AWG is CM = 6,530 circular mils, and the entered one-way length is L = 100 ft.
  2. Single-phase drop = 2 × 12.9 × 16 × 100 ÷ 6,530 = about 6.32 V.
  3. Percent drop = 6.32 V ÷ 120 V × 100 = about 5.27%. Use the unrounded value for the displayed calculation if available.
  4. Estimated load voltage = 120 V − 6.32 V = about 113.68 V.
  5. The percentage is above the calculator’s informational 3% branch-circuit reference. That comparison is a prompt to review assumptions and project criteria, not a finding that the scenario is or is not compliant.

Illustrative result: approximately 6.32 V drop, 5.27% of 120 V, and an estimated 113.68 V at the load.

Estimates for planning only, not a substitute for a licensed engineer's design or manufacturer data. This example uses the tool's 75°C K constant and selected conductor area; it leaves out impedance, reactance, power factor, and temperature correction.

Review / Input checks

Common mistakes

Questions / Planning use

Frequently asked questions

Does the length field mean one-way or round-trip distance?

Enter one-way circuit length. The single-phase formula already includes a factor of two. The three-phase formula uses √3 in this calculator. Do not double the length and also apply the displayed phase factor.

What conductor constants and areas does the calculator use?

It uses K = 12.9 for copper and 21.2 for aluminum, described as 75°C approximations, and the circular-mil area attached to the selected conductor size. The listed 12 AWG value is 6,530 cmil. Check the page’s source and assumptions for the full method boundary.

How is metric route length handled?

When the meter option is selected, the calculator multiplies the entered length by 3.28084 to obtain feet, because K is stated per foot. If feet is selected, the entered number is used as feet.

Are 3% and 5% drop limits mandatory?

The calculator describes 3% for branch circuits and 5% for feeder plus branch as informational recommendations, not code requirements. Confirm the criteria that govern your project and do not use this comparison as a compliance determination.

Does the result include conductor impedance and power factor?

No. This simplified calculation uses K, current, length, and circular-mil area. The stated assumptions omit conductor impedance, reactance, power factor, and temperature correction. Use a more complete method when the circuit conditions require those factors.

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Estimates for planning only, not a substitute for a licensed engineer’s design or manufacturer data.