SOLUTION: the resistence of a wire varies directly with its length and inversly with the square of its radius. if a wire with a radius of 1.3mm and a lrngth of 14m has a resistence of 17ohm

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Question 85187: the resistence of a wire varies directly with its length and inversly with the square of its radius. if a wire with a radius of 1.3mm and a lrngth of 14m has a resistence of 17ohms, what wil be the resistance of a wire with a radius of .08 and a length of 20m
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the resistence of a wire varies directly with its length and inversly with the square of its radius. if a wire with a radius of 1.3mm and a lrngth of 14m has a resistence of 17ohms, what wil be the resistance of a wire with a radius of .08 and a length of 20m
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R = k(L/r^2)
Find "k":
17 = k(14/1.3^2)
k= 2.05
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EQUATION:
R = 2.05(L/r^2)
R = 2.05(20/0.08^2)
R = 2.05(3125)
R = 6406.25 ohms
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Cheers,
Stan H.