Paritian

Electricity

Cable Power Loss Calculator

Power wasted as heat in a cable run, and what that waste costs over a year.

Results

Power lost in the cable 131.25 W
Resistance 0.14583 Ω
Energy 287.44 kWh/a
Cost 51.74

What this tool does

Losses rise with the square of the current, so doubling the load quadruples the heat in the cable. Putting a price on that waste is often what justifies the next cable size up: a thicker conductor costs once, the losses cost every hour the circuit runs.

Formula

P = I² × R , R = 2 × ρ × L ÷ S

Variables

SymbolMeaningUnit
iCurrentA
lOne-way cable lengthm
sConductor cross-sectionmm²
roResistivityΩ·mm²/m
hHours per dayh
prPrice per kWh
PLPower lost in the cableW
RResistanceΩ
EYEnergykWh/a
CYCost

Worked example

  • Current30 A
  • One-way cable length25 m
  • Conductor cross-section6 mm²
  • Resistivity0.0175 Ω·mm²/m
  • Hours per day6 h
  • Price per kWh0.18
  • Power lost in the cable131.25 W
  • Resistance0.14583 Ω
  • Energy287.44 kWh/a
  • Cost51.74

Limitations

  • Electrical installations are governed by national wiring rules. Cable sizing also depends on installation method, grouping, ambient temperature and protection devices, which this calculator does not evaluate.
  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.