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  • Understanding Wire Resistance: How Diameter Affects Electrical Conductivity
    When the diameter of a wire is doubled, its resistance becomes one-fourth its original value. Here's why:

    * Resistance and Cross-Sectional Area: Resistance is inversely proportional to the cross-sectional area of a wire. This means a larger area leads to lower resistance.

    * Diameter and Area: The area of a circular wire is calculated using πr², where r is the radius. When you double the diameter, you double the radius. This means the area increases by a factor of four (2² = 4).

    * The Result: Since resistance is inversely proportional to area, doubling the diameter (quadrupling the area) reduces the resistance to one-fourth of its original value.

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