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  • Coulomb's Law: Understanding the Relationship Between Charge and Force
    The law you're referring to is Coulomb's Law, which states that the force between two charges is:

    * Directly proportional to the product of the magnitudes of the charges.

    * Inversely proportional to the square of the distance between their centers.

    Here's a breakdown:

    * Directly proportional to the product of the magnitudes of the charges: This means that if you increase the magnitude of either charge, the force between them will increase proportionally. For example, if you double the magnitude of one charge, the force will double.

    * Inversely proportional to the square of the distance between their centers: This means that if you increase the distance between the charges, the force between them will decrease much faster. Specifically, if you double the distance, the force will decrease by a factor of four (2 squared).

    Mathematical Expression of Coulomb's Law:

    ```

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

    ```

    Where:

    * F is the electrostatic force

    * 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

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