The resistance Rof a wire varies directly as its length L and inversely as the square of its diameter d. (a) Write an equation that expresses this joint variation. (Use k for the constant of proportionality.) (b) Find the constant of proportionality if a wire 1.4 m long and 0.005 m in diameter has a resistance of 150 ohms. (Round your answer to six decimal places.) k= (C) Find the resistance of a wire made of the same material that is 5 m long and has a diameter of 0.006 m. (Round your answer to the nearest whole number.) R= ohms (d) If the diameter is doubled and the length is tripled, by what factor is the resistance changed?
The resistance Rof a wire varies directly as its length L and inversely as the square of its diameter d. (a) Write an equation that expresses this joint variation. (Use k for the constant of proportionality.) (b) Find the constant of proportionality if a wire 1.4 m long and 0.005 m in diameter has a resistance of 150 ohms. (Round your answer to six decimal places.) k= (C) Find the resistance of a wire made of the same material that is 5 m long and has a diameter of 0.006 m. (Round your answer to the nearest whole number.) R= ohms (d) If the diameter is doubled and the length is tripled, by what factor is the resistance changed?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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