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  • Coulomb's Law: Understanding the Relationship Between Distance and Electric Force
    Coulomb's law states that the electric force between two charged objects is:

    * Directly proportional to the product of their charges: The stronger the charges, the stronger the force.

    * Inversely proportional to the square of the distance between their centers: This means that as the distance between the charges increases, the electric force decreases rapidly.

    Here's how the distance affects the electric force:

    * Double the distance: The force becomes one-fourth its original strength.

    * Triple the distance: The force becomes one-ninth its original strength.

    * Halve the distance: The force becomes four times stronger.

    * Reduce the distance to one-third: The force becomes nine times stronger.

    Mathematical representation:

    Coulomb's Law is represented by the following equation:

    ```

    F = k * (q1 * q2) / r^2

    ```

    Where:

    * F is the electric force between the charges

    * k is Coulomb's constant (approximately 8.98755 × 10^9 N⋅m^2/C^2)

    * q1 and q2 are the magnitudes of the charges

    * r is the distance between the centers of the charges

    Key takeaway: The electric force is inversely proportional to the square of the distance. This means that a small change in distance can have a significant impact on the strength of the electric force.

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