Question

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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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.