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Resistance varies directly as length

Resistance varies inversely as cross-sectional area

Hence R varies as L

and R varies as 1/A

Thus R = r(L/A) where r is the coefficient of resistance of the wire. If the wire is of uniform cross section, then A = V/L where V is the volume of the wire. Hence now we have R = r(L/(V/L)) or R = r(L-squared/V) or L-squared = (RxV)/r and so the answer would be L = square-root of (RxV)/r

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Q: How do you find length and crosssectional area of a wire given just resistancevolume and resistivity?
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Related questions

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Resistance is the value of a given wire in ohm but resistivity is value of the material with which that wire is made in ohm meter. R = rho * L / A Here rho is resistivity and R is resistance. L is the length of the wire and A is area of cross section


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