P = I² * R * n
P = Power losses(W)
I = Current(A)
R = Resistance(Ω)
n = Factor depending on circuit type / number of conductors
n = 2 for d.c. or a.c. single phase
n = 3 for a.c. three phase (assumed balanced)
This tool calculates power losses (I²R losses) in cables due to conductor resistance during current flow, based on IEC and NEC standards. It supports DC, single-phase, two-phase, and three-phase systems, including parallel conductors and various insulation types.
1.Current Type: Direct Current (DC), Single-phase AC, Two-phase, or Three-phase (3-wire/4-wire)
2.Voltage (V): Enter phase-to-neutral voltage for single-phase, or phase-to-phase for polyphase
3.Load Power (kW or VA): Rated power of the connected equipment
4.Power Factor (cos φ): Ratio of active to apparent power, between 0 and 1 (default: 0.8)
5.Wire Size (mm²): Cross-sectional area of the conductor
6.Conductor Material: Copper (Cu) or Aluminum (Al), affecting resistivity
7.Parallel Phase Conductors: Conductors with same size, length, and material can be used in parallel; total permissible current is sum of individual core ratings
8.Length (meters): One-way distance from supply to load
9.Operating Temperature (°C): Based on insulation type:
IEC/CEI: 70°C (PVC), 90°C (XLPE/EPR), 105°C (Mineral Insulation)
NEC: 60°C (TW, UF), 75°C (RHW, THHN, etc.), 90°C (TBS, XHHW, etc.)
1.Conductor Resistance (Ω/km)
2.Total Circuit Resistance (Ω)
3.Power Loss (W or kW)
4.Energy Loss (kWh/year, optional)
5.Voltage Drop (% and V)
6.Temperature correction for resistance
7.Reference Standards: IEC 60364, NEC Article 310
Designed for electrical engineers and installers to evaluate circuit efficiency, energy consumption, and thermal performance.
Copper has a lower resistivity than aluminum, resulting in lower resistance for the same cross-sectional area and length, and therefore lower I²R losses.
Yes. The longer the cable, the greater the total resistance. At the same current, this results in higher I²R losses and a larger voltage drop.
Yes. Multiple conductors in parallel effectively reduce the total circuit resistance, thereby lowering I²R losses. However, the parallel conductors must be identical in size, length, and material.