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  • Coulomb's Law: Calculating Force Between Charges at Different Distances
    Here's how to solve this problem:

    Understanding Coulomb's Law

    Coulomb's Law describes the force between two point charges:

    * F = k * (q1 * q2) / r²

    Where:

    * F is the force between the charges

    * k is Coulomb's constant (approximately 8.99 x 10⁹ N⋅m²/C²)

    * q1 and q2 are the magnitudes of the charges

    * r is the distance between the charges

    Solving the Problem

    1. Analyze the relationship: Notice that the force (F) is inversely proportional to the square of the distance (r²). This means if you double the distance, the force decreases by a factor of four.

    2. Apply the principle: Since we're doubling the distance from 12 cm to 24 cm, the force will be reduced by a factor of four.

    3. Calculate the new force: The new force will be 20 N / 4 = 5 N.

    Therefore, when the distance between the charges is doubled to 24 cm, the attractive force between them will be 5 N.

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