SOLUTION: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a      Log On


   



Question 44840This question is from textbook Algebra and Trigonometry
: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeter in diameter made from the same material? This question is from textbook Algebra and Trigonometry

Answer by Nate(3500) About Me  (Show Source):
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The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter 'd'.
Rd%5E2%2FL
A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms.
36%280.6%29%5E2%2F20
0.648
What is the resistance of a piece of wire 60 meters long and 1.2 centimeter in diameter made from the same material?
Rd%5E2%2FL+=+0.648
R+=+0.648%2A60%2F%281.2%29%5E2
R+=+27