Voltage Drop — Complete Guide

AS/NZS 3000 · AS 3008 · NEC · IS 732 · SANS 10142

Contents

  1. What is voltage drop?
  2. Why voltage drop matters
  3. Allowable limits by region
  4. The voltage drop formula
  5. Single phase worked example
  6. Three phase worked example
  7. DC circuits
  8. Motor starting voltage drop
  9. Choosing the right cable size
  10. Reading AS 3008 cable tables
  11. How to reduce voltage drop
  12. Common mistakes

1. What is voltage drop?

Voltage drop is the reduction in electrical voltage that occurs as current flows through a conductor. Every cable — no matter how good — has electrical resistance. When current flows through that resistance, energy is lost as heat, and the voltage available at the far end of the cable is lower than at the source.

The physics is straightforward: resistance opposes current flow, and overcoming that resistance requires energy. The more current flowing, the longer the cable, and the smaller the cross-section of the conductor, the more voltage is lost along the way. This is an unavoidable physical consequence of Ohm's Law — it cannot be designed away, only managed.

Voltage drop is expressed either as a voltage (e.g. "5.2V drop") or as a percentage of the nominal supply voltage (e.g. "2.3% drop on a 230V circuit"). Standards use the percentage form because it scales with the supply voltage and gives a meaningful indication of the impact on connected equipment.

2. Why voltage drop matters

Equipment is designed to operate within a specific voltage range — typically ±10% of the nominal supply. When voltage at the load falls below the lower limit, a range of problems occur:

Beyond equipment performance, excessive voltage drop also represents energy waste. The voltage dropped across the cable is dissipated as heat — in a large installation with poorly sized cables, this can represent a significant and ongoing energy cost.

3. Allowable limits by region

Every major electrical standard sets a maximum allowable voltage drop. These limits are defined from the point of supply (typically the main switchboard) to the most remote point of the installation.

🇦🇺
Australia — AS/NZS 3000
Maximum 5% from point of supply to any point in the installation. Many designers target 3% or less for sub-circuits. For 230V single phase: 5% = 11.5V maximum drop.
🇺🇸
United States — NEC
NEC recommends (but does not mandate) a maximum 3% drop on branch circuits and 5% total including feeders. 120V single phase: 3% = 3.6V, 5% = 6V.
🇮🇳
India — IS 732
Maximum 5% from point of supply to point of use. Standard supply voltage is 230V single phase, 400V three phase.
🇿🇦
South Africa — SANS 10142
Maximum 5% from point of supply. Standard supply is 230V single phase, 400V three phase. Same mm² cable sizing as Australia.
Note: These limits apply to the total installation, not just a single sub-circuit. If your main feeder already drops 3%, your sub-circuit budget is only 2% more. Always consider the full supply chain from the utility connection to the load.

4. The voltage drop formula

The standard engineering formula for voltage drop is derived from Ohm's Law and the resistivity of the conductor material. There are two forms — one for single phase and DC, one for three phase:

Single Phase & DC:   VD = (2 × L × I × ρ) / A
Three Phase:         VD = (√3 × L × I × ρ) / A
VD = voltage drop (volts)
L  = one-way cable length (metres)
I  = current (amps)
ρ  = resistivity of conductor (0.0175 Ω·mm²/m for copper, 0.028 for aluminium)
A  = cable cross-sectional area (mm²)

The factor of 2 in the single phase formula accounts for the fact that current travels down the active conductor and returns via the neutral — two conductors, each of length L. For three phase, the √3 factor (approximately 1.732) accounts for the phase relationship between the three conductors, which partially cancel each other.

To convert to a percentage: VD% = (VD / nominal voltage) × 100. For Australian single phase: VD% = (VD / 230) × 100.

5. Single phase worked example

Example: 20A circuit, 40m run, 2.5mm² copper cable, 230V

1
Identify the values: L = 40m, I = 20A, ρ = 0.0175, A = 2.5mm²
2
Apply the formula: VD = (2 × 40 × 20 × 0.0175) / 2.5
3
Calculate numerator: 2 × 40 × 20 × 0.0175 = 28
4
Divide by cable area: 28 / 2.5 = 11.2V
5
Convert to percentage: (11.2 / 230) × 100 = 4.87%
⚠️ Result: 4.87% — just under the AS/NZS 3000 limit of 5%, but tight. Consider upgrading to 4mm² cable for a safe margin.

Let's check what 4mm² gives us:

Same circuit with 4mm² cable

1
VD = (2 × 40 × 20 × 0.0175) / 4 = 28 / 4 = 7.0V
2
VD% = (7.0 / 230) × 100 = 3.04%
✅ Result: 3.04% — comfortably within limits and good practice for a 40m run.

6. Three phase worked example

Example: 32A three phase circuit, 60m run, 6mm² copper, 400V

1
Values: L = 60m, I = 32A, ρ = 0.0175, A = 6mm², V = 400V
2
VD = (√3 × 60 × 32 × 0.0175) / 6
3
Numerator: 1.732 × 60 × 32 × 0.0175 = 58.27
4
VD = 58.27 / 6 = 9.71V
5
VD% = (9.71 / 400) × 100 = 2.43%
✅ Result: 2.43% — well within limits. This is why three phase is preferred for long runs: less drop for the same cable size.

7. DC circuits

DC voltage drop uses the same formula as single phase AC: VD = (2 × L × I × ρ) / A. The ×2 factor applies because current travels out on the positive conductor and returns on the negative.

DC applications where voltage drop is particularly critical include:

8. Motor starting voltage drop

When an electric motor starts — particularly with a direct-on-line (DOL) starter — it draws a very large inrush current, typically 5 to 7 times the full load current. A 15A motor may draw 75–105A for the first few seconds of starting. This momentary surge causes a significant voltage drop across the supply cables.

The starting voltage drop calculation uses the same formula as single phase or three phase, but substitutes the starting current for the running current:

VD_start = (√3 × L × I_start × ρ) / A
I_start = starting current = FLA × starting current multiplier
Typical DOL multiplier: 5–7× FLA
Soft starter: 2–3× FLA
VFD: 1–1.5× FLA (current-limited)

AS/NZS 3000 requires that the voltage at any point during motor starting does not cause other equipment to malfunction. As a practical guide, most designers aim to keep the starting voltage drop below 3% at the main switchboard. Where DOL starting causes unacceptable voltage drop, options include soft starters, star-delta starters, or variable frequency drives (VFDs), which all reduce the starting current.

9. Choosing the right cable size

Cable selection for voltage drop compliance follows these steps:

  1. Determine the load current — from the equipment nameplate, or calculate from power (I = P/V for single phase, I = P/(√3 × V × pf) for three phase).
  2. Check the current-carrying capacity first — the cable must be rated for the load current under the actual installation conditions (ambient temperature, installation method, bundling). This is the ampacity check. AS 3008 Table 5 provides base ratings; derating factors apply for elevated temperature and bundling.
  3. Calculate voltage drop for candidate cable sizes — use the formula or the calculator's comparison table to find the smallest cable that keeps drop within limits.
  4. Select the larger of the two requirements — ampacity and voltage drop may point to different cable sizes. Always use the larger.

Common cable sizes and their typical single-phase voltage drop per amp per metre (mV/A/m), copper:

Cable SizemV/A/m (approx)Max current (clipped, 40°C)
1.5mm²23.317.5A
2.5mm²14.024A
4mm²8.7532A
6mm²5.8341A
10mm²3.5057A
16mm²2.1976A
25mm²1.40101A
35mm²1.00125A
50mm²0.70151A

To use this table: VD (volts) = mV/A/m value × current (A) × length (m) / 1000. The values above are approximate; use the calculator for precise results.

10. Reading AS 3008 cable tables

AS 3008.1.1 is the Australian standard for cable selection. It provides current-carrying capacity and voltage drop values for cables under defined installation conditions. Understanding how to read it is an essential skill for anyone sizing cables for Australian installations.

Current-carrying capacity tables

AS 3008 Table 5 gives the base current-carrying capacity for single-core and multi-core cables under reference conditions (40°C ambient for thermoplastic insulation, specific installation methods). If your installation conditions differ, derating factors apply:

Voltage drop tables

AS 3008 Appendix C provides voltage drop values in mV/A/m for common cable sizes and installation conditions. These values account for conductor resistance and, for AC circuits, the inductive reactance of the cable. For most sub-circuit calculations, resistance dominates and the simplified resistivity formula gives results within 1–2% of the full AS 3008 method. For large cables (25mm² and above) on long AC runs, the reactance component becomes more significant and the full AS 3008 method should be used.

11. How to reduce voltage drop

When a calculated voltage drop exceeds the allowable limit, there are several approaches to bring it within compliance:

12. Common mistakes

Ready to calculate?

Use the free voltage drop calculator — single phase, three phase, DC, series runs and motor starting, with cable comparison table and ampacity checker.

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This guide is for educational and reference purposes only. All electrical installation work must be designed and carried out by a licensed electrician in accordance with the relevant standards. Read full disclaimer →