4. The electrical resistance of a wire varies inversely as the square of its radius. If the resistance is 0.80 ohm when the radius is 0.4cm.

Question

4. The electrical resistance of a wire varies inversely as the square of its radius. If the resistance is 0.80 ohm when the radius is 0.4cm. Find the resistance whom the radius is 0.7cm.​

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Maris 4 years 2021-08-17T14:24:11+00:00 1 Answers 6 views 0

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  1. Gerda
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    2021-08-17T14:25:48+00:00
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    9514 1404 393

    Answer:

      0.261 ohm

    Step-by-step explanation:

    If the radius increases by a factor of 0.7/0.4= 7/4, the square of this factor is (7/4)^2 = 49/16. The inverse of this square is 16/49, which is the factor by which the resistance changed.

    The resistance of the larger wire is …

      (16/49)(0.80 ohm) ≈ 0.261 ohm

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