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Voltage Drop Calculator

Branch-circuit and feeder voltage drop on AC conductor runs. Single-phase and three-phase, copper and aluminum, with NEC Chapter 9 Table 9 AC resistance and inductive reactance values for typical PVC conduit installations. Compares to NEC Article 210/215 informational note (3% branch / 5% combined).

V (line-to-line for 3-ph)
A
ft
— (1.0 resistive; 0.85 motor typical)
V
% (NEC: ≤3% branch, ≤5% combined)
V

Defaults: 240V single-phase, 50 A load, 200 ft #6 Cu, unity PF — typical residential 50A subpanel feeder. R and X values are for PVC conduit per NEC Table 9; steel conduit increases X by ~30% but slightly reduces effective Z for typical PFs.

Single-phase (line-to-neutral or 2-wire L-L):
$$ V_d = 2 \, I \, (R \cos\theta + X \sin\theta) \, L $$
Three-phase (balanced, line-to-line):
$$ V_d = \sqrt{3} \, I \, (R \cos\theta + X \sin\theta) \, L $$
Effective impedance (NEC Eq. 9.1):
$$ Z_{eff} = R \cos\theta + X \sin\theta $$
R, X AC resistance and inductive reactance per 1000 ft (NEC Table 9, PVC conduit, 60 Hz, 75°C) · I phase current · L conductor length, one way · cos θ power factor · sin θ = √(1 − cos²θ).

NEC voltage drop limits

NEC voltage drop is informational, not mandatory (with exceptions for sensitive equipment). Article 210.19(A) and 215.2(A) recommend:

For sensitive loads (motors, electronics), tighter design targets apply: 2% branch, 4% combined. NEC 695.7 mandates ≤ 5% for fire pump feeders. For solar PV, NEC 690.31(D) allows up to 3% for DC strings and 1.5% for AC inverter outputs.

Why power factor matters

For purely resistive loads (heaters, incandescent, UPF), V_d = 2IRL × 0.001 (single phase) — only resistance matters. For inductive loads (motors at PF = 0.85 lagging), the reactance X also drops voltage. Worse, X depends on conduit material (steel vs PVC) and conductor type (single vs multi-conductor cable) — see NEC Table 9.

For typical 480V three-phase motor circuits at PF = 0.85, X contributes 20–40% of total voltage drop on long runs. On short runs or low-current branches, R dominates and X is negligible.

NEC Table 9 — what's coded here

This calculator uses NEC Chapter 9 Table 9 values for typical conditions: PVC conduit, three-conductor cable, 60 Hz, 75°C operating temperature. R and X values:

For steel conduit, X roughly doubles. For multi-conductor cables in trays or messenger-supported, X is similar to PVC. For DC, X = 0 (no reactance), and only R matters.

Bigger conductor or paralleled?

If voltage drop is too high, options:

  1. Increase conductor size (lower R/1000 ft).
  2. Parallel runs (two #4/0 = effective #4/0 × 2 = ~250 kcmil).
  3. Reduce length (shorter feeder, intermediate distribution).
  4. Increase voltage (480V instead of 208V drops by V² ratio in current).

Going from 240V to 480V quadruples the apparent voltage-drop margin: same I → V_d in volts is the same, but the % drops to 1/4. This is why long industrial feeders run at 4160V or 13.2 kV.

Reference: National Electrical Code (NFPA 70-2023), Chapter 9 Table 9. Articles 210.19, 215.2, 695.7. IEEE Std 141 (Red Book): Recommended Practice for Electric Power Distribution for Industrial Plants.

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