# SOLUTION: The conductance of a wire varies directly as the square of the wire's diameter and inversely as it's length. Fifty meters of wire with a diameter 2 mm has a conductance of 0.12 ohm

Algebra ->  Algebra  -> Proportions -> SOLUTION: The conductance of a wire varies directly as the square of the wire's diameter and inversely as it's length. Fifty meters of wire with a diameter 2 mm has a conductance of 0.12 ohm      Log On

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 Algebra: Proportions Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Proportions Question 617865: The conductance of a wire varies directly as the square of the wire's diameter and inversely as it's length. Fifty meters of wire with a diameter 2 mm has a conductance of 0.12 ohms. If a wire of the same material has length of 75m and diameter of 2.5mm, what is its conductance? I need help. I have been on this problem for over an hour.Answer by MathTherapy(1423)   (Show Source): You can put this solution on YOUR website!The conductance of a wire varies directly as the square of the wire's diameter and inversely as it's length. Fifty meters of wire with a diameter 2 mm has a conductance of 0.12 ohms. If a wire of the same material has length of 75m and diameter of 2.5mm, what is its conductance? I need help. I have been on this problem for over an hour. Let conductance of wire = C; D = diameter; and L = length The we have: ------- Substituting values for C, D, and L 4k = 50 * 0.12 ---- Cross-multiplying 4k = 6 k = , or , or 1.5 With k = 1.5; D = 2.5; and L = 75, becomes: C = Send comments and “thank-yous” to “D” at MathMadEzy@aol.com