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  • Understanding the Relationship Between Electric Force and Distance
    Here's how the electric force changes when the distance between two positively charged objects is doubled:

    Coulomb's Law

    The electric force between two charged objects is described by Coulomb's Law:

    * F = k * (q1 * q2) / r²

    Where:

    * F is the electric force

    * k is Coulomb's constant (approximately 8.99 x 10⁹ N⋅m²/C²)

    * q1 and q2 are the magnitudes of the charges

    * r is the distance between the centers of the charges

    The Effect of Doubling the Distance

    When the distance (r) is doubled, the denominator of the equation is squared. This means:

    * (2r)² = 4r²

    Therefore, the electric force becomes four times smaller (1/4 of the original force).

    In Summary

    Doubling the distance between two positively charged objects decreases the electric force between them by a factor of four.

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