Amp to Wire Size Calculator
This calculator works out the minimum cable size you need for an electrical circuit in New Zealand, based on the two checks that determine safe wire size: how much current the conductor can carry without overheating, and how much voltage it loses over the length of the run. Enter your current load in amps, choose your system voltage (230 V single-phase, 400 V three-phase, or 24 V or 12 V DC for low-voltage and automotive work), select single-phase or three-phase, then enter the one-way cable length in metres, your maximum permitted voltage drop (3% for a standard sub-circuit, 5% for sub-mains, or a tighter or looser limit for other setups), and whether you are using copper or aluminium conductor. The calculator returns the recommended minimum cross-section in mm², the equivalent AWG size, the actual voltage drop percentage for your run, and which factor governed the result, ampacity or voltage drop. It also shows a comparison table of standard cable sizes against your load, plus a breakdown of the voltage drop formula and current capacity check behind the recommendation. Use it to plan a circuit before you call an electrician, or to sanity check a quote. This follows AS/NZS 3000 Wiring Rules and gives indicative guidance only; installation method, cable grouping, ambient temperature and insulation type all affect real-world sizing, so always have fixed wiring installed by a licensed electrician.
1. Circuit Details
2. Cable Run
Standard Cable Sizes for Your Load
| Cable Size (mm²) | AWG Approx. | Max Ampacity (A) | Voltage Drop (%) | Status |
|---|
Voltage Drop Calculation
Current Capacity Check
How to Size a Wire or Cable
Selecting the correct conductor cross-section for an electrical circuit involves two independent checks, and the larger result governs:
- Current-carrying capacity (ampacity): The conductor must be large enough to carry the load without overheating. AS/NZS 3000 Table C1 specifies the maximum continuous current for each cable size, based on insulation type, installation method (in conduit, clipped direct, in free air), and grouping. This calculator uses typical in-conduit values for 75°C insulation as a conservative baseline.
- Voltage drop: The resistance of the cable causes a voltage drop along its length, reducing the voltage available at the load. AS/NZS 3000 limits voltage drop to 3% of supply voltage for final sub-circuits (the last circuit from the board to the outlet or appliance) and 5% for sub-mains (the feed from the main switchboard to a distribution board). Low-voltage DC systems often use higher limits (up to 10%) because the starting voltage is already low.
The Voltage Drop Formula
For single-phase AC and DC circuits, the voltage drop formula is:
V_drop = (2 x L x rho x I) / A
Where:
- V_drop = voltage drop in volts
- L = one-way cable length in metres (current travels both the active and neutral conductors, so the factor of 2 accounts for the return path)
- rho = resistivity of the conductor material (copper: 0.0175 ohm.mm²/m; aluminium: 0.028 ohm.mm²/m) at 20°C
- I = current in amps
- A = conductor cross-sectional area in mm²
For three-phase circuits, the factor of 2 is replaced by the square root of 3 (approximately 1.732), because each phase conductor only carries current one way and returns via the neutral or other phases. Rearranging for minimum area: A = (2 x L x rho x I) / V_drop_max.
Standard Cable Sizes in NZ
| mm² | AWG Approx. | Typical Max. Current (in conduit, 75°C) | Typical Use |
|---|---|---|---|
| 1.0 | 18 | 13 A | Lighting circuits (light-duty) |
| 1.5 | 16 | 17 A | Standard lighting circuits |
| 2.5 | 14 | 23 A | Standard power (GPO) circuits |
| 4 | 12 | 31 A | Heavy power, range circuits |
| 6 | 10 | 40 A | Sub-mains, large appliances |
| 10 | 8 | 54 A | Sub-mains, EV chargers |
| 16 | 6 | 73 A | Main switchboard feeds |
| 25 | 4 | 95 A | Main switchboard feeds |
| 35 | 2 | 119 A | Service mains |
| 50 | 1 | 145 A | Service mains |
These ampacity values are conservative estimates for copper conductors in conduit at an ambient temperature of 30°C with 75°C insulation. Cables in free air or clipped direct to a surface can often carry more current. Cables installed in bunches or in insulation must be de-rated. Always confirm with your electrician and refer to AS/NZS 3000 Table C1 for your specific installation conditions.
Worked Example
A 20 A circuit at 230 V single-phase with a 15 m one-way cable run and a 3% maximum voltage drop limit:
- Maximum permitted voltage drop: 3% of 230 V = 6.9 V
- Minimum cross-section for voltage drop: A = (2 x 15 x 0.0175 x 20) / 6.9 = 10.5 / 6.9 = 1.52 mm²
- Next standard size above 1.52 mm² is 2.5 mm²
- Ampacity check: 2.5 mm² carries 23 A, which is above the required 20 A. Pass.
- Voltage drop at 2.5 mm²: V_drop = (2 x 15 x 0.0175 x 20) / 2.5 = 4.2 V, or 1.83% of 230 V. Within the 3% limit. Pass.
- Recommended size: 2.5 mm² (both the voltage-drop minimum of 1.52 mm² and the 20 A ampacity requirement land on 2.5 mm², so both factors govern equally).
This matches the default output of the calculator above.
Related Calculators
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- Ohm's Law Calculator: find voltage, current, or resistance from any two values.
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- Appliance Running Cost Calculator: calculate the electricity cost of running appliances.
Sources and method: Standards Australia / Standards New Zealand AS/NZS 3000:2018 Wiring Rules (Electrical Installations), Table C1 current-carrying capacities. Copper resistivity at 20°C: 0.0175 ohm.mm²/m (IEC 60228). Aluminium resistivity at 20°C: 0.028 ohm.mm²/m. AWG to mm² conversions per ASTM B258.
This calculator provides indicative guidance only. Actual conductor sizing must account for installation method, grouping, ambient temperature, insulation rating, and other factors specified in AS/NZS 3000. All fixed electrical wiring in New Zealand must be installed by or under the supervision of a registered electrician. This tool is not a substitute for professional electrical advice.