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  • Calculating Distance Using Coulomb's Law: A Comprehensive Guide
    The distance between two charges can be calculated using Coulomb's law by equating the electric force between the charges with the electrostatic force due to the charges. According to Coulomb's law, the electric force (F) between two point charges (q1 and q2) separated by a distance (r) is given by:

    $$F = k \frac{|q_1||q_2|}{r^2}$$

    where:

    - F is the electric force in Newtons (N)

    - k is the electrostatic constant, approximately 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)

    To find the distance (r) between the charges, we can rearrange the formula to get:

    $$r = \sqrt{\frac{k |q_1||q_2|}{F}}$$

    By knowing the magnitudes of the charges (|q1| and |q2|), the electric force between them (F), and the value of the electrostatic constant (k), you can calculate the distance (r) between the charges.

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