The resistance R of 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.) R= k (L/d^2) (b) Find the constant of proportionality if a wire 1.2 m long and 0.005 m in diameter has a resistance of 130 ohms. (Round your answer to six decimal places.) k =
The resistance R of 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.) R= k (L/d^2) (b) Find the constant of proportionality if a wire 1.2 m long and 0.005 m in diameter has a resistance of 130 ohms. (Round your answer to six decimal places.) k =
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The resistance R of 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 1.2 m long and 0.005 m in diameter has a resistance of 130 ohms. (Round your answer to six decimal places.)
k =
(c) Find the resistance of a wire made of the same material that is 3 m long and has a diameter of 0.008 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?
R= k (L/d^2)
(b) Find the constant of proportionality if a wire 1.2 m long and 0.005 m in diameter has a resistance of 130 ohms. (Round your answer to six decimal places.)
k =
(c) Find the resistance of a wire made of the same material that is 3 m long and has a diameter of 0.008 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?
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