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  • Electric Force and Distance: Understanding Coulomb's Law
    If you double the distance between two objects, the electric force between them decreases by a factor of four.

    Here's why:

    * Coulomb's Law: The electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

    * Mathematical Representation: F = k * (q1 * q2) / r²

    * F = electric force

    * k = Coulomb's constant

    * q1 and q2 = charges of the objects

    * r = distance between the objects

    Doubling the distance:

    * If you double the distance (r), you're essentially squaring the denominator in Coulomb's Law: (2r)² = 4r².

    * Since the force is inversely proportional to the square of the distance, the force is reduced by a factor of 4.

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