Resistance:

$\overline{){\mathbf{R}}{\mathbf{=}}\frac{\mathbf{\rho}\mathbf{l}}{\mathbf{A}}}$

where ρ is the resistivity, l is the length, and A is the area.

A = π(d/2)^{2} = π(2.05mm/2)^{2}(1m/1000mm)^{2}

In household wiring, copper wire 2.05 mm in diameter (12 gauge) is often used. Find the resistance of a 24.0 m length of this wire. Note the resistivity of copper is 1.72×10^{-8} Ω·m.

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