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Resistivity Calculator

⚡ Electricity & magnetism. Use the Resistivity formula to find resistance, resistivity ρ, length, cross-section area: pick the value you want, type the others, and the answer updates as you go.

R=ρLAR = \dfrac{\rho L}{A}
Resistance0.86 Ω

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
ResistanceΩ
Resistivity ρΩ m
Lengthm
Cross-section aream²

Worked example

Find the resistance when Resistivity ρ = 1.72 × 10⁻⁸ Ω m, Length = 50 m, Cross-section area = 1 × 10⁻⁶ m².

Using R = (ρ L)/A: Resistance = 0.86 Ω.

Frequently asked questions

What is the formula for Resistivity?

R = (ρ L)/A.

What do the letters stand for, and what units are used?

Resistance in Ω, Resistivity ρ in Ω m, Length in m, Cross-section area in m².

How do you calculate resistance?

Put the values into R = (ρ L)/A. For example, with Resistivity ρ = 1.72 × 10⁻⁸ Ω m, Length = 50 m, Cross-section area = 1 × 10⁻⁶ m², resistance = 0.86 Ω.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (resistance, resistivity ρ, length, cross-section area) and fill in the others: it rearranges the formula for you.

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