Will increasing length and cross-sectional area increase the resistance of an object?

Question

Will increasing length and cross-sectional area increase the resistance of an object?

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Ngọc Hoa 1 year 2021-09-04T01:20:16+00:00 1 Answers 2 views 0

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    2021-09-04T01:21:39+00:00

    Answer:

    Increasing length increases resistance

    increasing cross sectional area reduces the resistance

    .

    Explanation:

    The formula for resistance of an object is

    [tex]r = d \frac{l}{a} [/tex]

    where r is resistance, d is resistivity of the material, l is length of material and a is cross sectional area of the object. This equation shows us that resistance is directly proportional to length and inversely proportional to cross sectional area. Hence, increasing length increases resistance while increasing cross sectional area reduces the resistance.

    If these 2 variables are varied to the same extent, the net effect can be zero on the resistance.

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