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  • Coulomb's Law: How Distance Affects Electric Force
    According to Coulomb's law, the electric force between two point charges is given by:

    ```

    F = k * q1 * q2 / r^2

    ```

    Where:

    * F is the electric force in newtons (N)

    * k is the Coulomb constant (8.988 × 10^9 N m^2/C^2)

    * q1 and q2 are the magnitudes of the charges in coulombs (C)

    * r is the distance between the charges in meters (m)

    If we double the distance between the two charges, the electric force will be reduced by a factor of 4. This is because the electric force is inversely proportional to the square of the distance between the charges.

    Therefore:

    ```

    F' = k * q1 * q2 / (2r)^2 = k * q1 * q2 / 4r^2

    ```

    Where F' is the electric force after the distance is doubled.

    So:

    ```

    F'/F = (k * q1 * q2 / 4r^2) / (k * q1 * q2 / r^2) = 1/4

    ```

    Therefore, the electric force is reduced by a factor of 4 when the distance between the charges is doubled.

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