In the electric currect flow, it is found that the resistance (measured in the units called ohms) offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of 0.4560.456 ohm, what is the resistance of a wire of the same length and material with diameter 0.04010.0401 in. to the nearest ten-thousandth?

The resistance of a wire is

nothing ohm.

(Round to the nearest ten-thousandth.)

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Question

Finley Campos

14 December, 09:09

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Answers (1)

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Devyn Steele · Answer 1

Let x be the resistance of the wire with the larger diameter.

x = (0.456 x (0.01) ^2) / (0.0401) ^2 = 0.0284 ohms

The answer is 0.0284 ohms.