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  • Coulomb's Law: Calculating Force with Doubled Charges - Physics Explained
    Here's how to figure out the force when the charges are doubled:

    Understanding Coulomb's Law

    Coulomb's Law describes the force between two charged objects:

    * F = k * (q1 * q2) / r²

    Where:

    * F is the force of attraction or repulsion

    * k is Coulomb's constant (approximately 9 x 10^9 N⋅m²/C²)

    * q1 and q2 are the magnitudes of the charges

    * r is the distance between the charges

    Doubling the Charge

    Let's say the original force is F. If we double the magnitude of each charge (q1 and q2), the force will be:

    * F' = k * (2q1 * 2q2) / r²

    * F' = 4 * k * (q1 * q2) / r²

    * F' = 4F

    Conclusion

    When you double the magnitude of each charge, the force between them increases by a factor of 4.

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