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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
, or 1.5
With k = 1.5; D = 2.5; and L = 75,
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