Calculate wire resistance

Online calculators and formulas for calculating wire resistance

Calculate wire resistance online

On this page, the electrical resistance is calculated from the length and cross-section of a wire. The specific resistance or conductance of the wire material must be known.

Note, the resistance of the specified simple length is calculated. If you want to calculate the total resistance of a two-pole cable, e.g. a loudspeaker cable, you have to multiply the value by 2. Total resistance = forward line + return line.

The specific conductance values of the most common cables are

Conductance

Copper 56.0
Silver 62.5
Aluminium 35.0

Wire Resistance Calculator

 What should be calculated? Wire resistance Cross-sectional area Wire Length Input Wire Length (m) Cross-sectional area (mm2) Wire resistance (Ω) Resistivity (Ω) Conductance (S) Decimal places 0 1 2 3 4 6 8 10 Result Wire resistance Cross-sectional area Wire Length Wire conductance

Legend

$$\displaystyle A$$ Cross-sectional area (mm2)

$$\displaystyle l$$  Wire Length (m)

$$\displaystyle R$$ Wire resistance

$$\displaystyle S$$ Wire conductance

$$\displaystyle ρ$$ Specific resistance

$$\displaystyle σ$$ Specific conductance

Wire resistance formulas

 Resistance of the wire $$\displaystyle R=\frac{ρ · l}{A}$$   $$\displaystyle =\frac{l}{σ · A}$$ Length of the wire $$\displaystyle l=\frac{R · A}{ρ}$$   $$\displaystyle =R · A · σ$$ Wire cross-sectional area $$\displaystyle A=\frac{l}{R · σ}$$   $$\displaystyle =\frac{l · ρ}{R}$$