SOLUTION: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire 50 feet long and 0.015 inch in diameter has a resistance o

Algebra ->  Test -> SOLUTION: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire 50 feet long and 0.015 inch in diameter has a resistance o      Log On


   



Question 815401: The electrical resistance of a wire varies directly as its length and inversely as the square of its diameter. If a wire 50 feet long and 0.015 inch in diameter has a resistance of 3.5 ohms,what is the resistance of a wire of the same material 75 feet long and 0.025 inch in diameter?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
r = C(L + (1/D)^2)
C = resistivity constant of the material
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3.5 = C(L + (1/D)^2)
3.5 = C(50*12 + (1/0.015)^2)
C = 3.5/5044.44444
C = 0.0006938326
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r = C(75*12 + (1/0.025)^2)
r = C(2500)
r = 1.735 ohms
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