How do you find the mass of a copper wire given the length and resistance?

Conductor resistance R, expressed in terms of electrical resistivity ρ, length L and cross-sectional area S:

R = (ρL) / S.

Find the cross-sectional area of the conductor:

S = (ρL) / R.

ρ is a reference value, L and R are given.

Find the volume of the conductor:

V = LS.

We obtain the mass of the conductor by multiplying the specific gravity of copper d (reference value) by the volume V:

Answer:
m = dV = dLS = dL * (ρL) / R = (dρL ^ 2) / R =
= 8900 (kg / m3) * 1.68 * 10 ^ -8 (ohm * m) * (L ^ 2 / R) =
= 0.00015 ((kg * ohm) / m2) * (L ^ 2 / R).