R = ρ·L/A

Conductor resistance from material and geometry

Long, thin conductors have higher resistance; material and temperature determine ρ.

MINTSI
01

Inputs

Ohmic resistance at the stated temperature.

Material property, e.g. copper about 0.0175 Ω·mm²/m at 20 °C.

Electrical length; include both go and return conductors for voltage drop.

Metal cross-section normal to current flow.

02

Result

Select a target and calculate.

Calculation

R = ρ · L / A

Long, thin conductors have higher resistance; material and temperature determine ρ.

Understand the inputs
  • Conductor resistance ROhmic resistance at the stated temperature.
  • Resistivity ρMaterial property, e.g. copper about 0.0175 Ω·mm²/m at 20 °C.
  • Conductor length LElectrical length; include both go and return conductors for voltage drop.
  • Conductor area AMetal cross-section normal to current flow.
Example

10 m of 10 mm² copper: 0.0175 Ω.

Assumptions and limits

DC, constant temperature and homogeneous cross-section.

Sources