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  • Coulomb's Law: Calculating Electric Force Between Charges - Formula & Explanation
    The electric force between two charges is calculated using Coulomb's Law:

    F = k * (q1 * q2) / r²

    Where:

    * F is the electric force in Newtons (N)

    * k is Coulomb's constant, approximately 8.98755 × 10⁹ N⋅m²/C²

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

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

    Important Considerations:

    * Direction: The force is attractive if the charges have opposite signs (one positive and one negative) and repulsive if they have the same sign (both positive or both negative).

    * Vector Nature: The force is a vector quantity, meaning it has both magnitude and direction.

    * Units: Make sure to use consistent units for all quantities.

    Example:

    Let's say we have two charges:

    * q1 = +2.0 x 10⁻⁶ C

    * q2 = -1.0 x 10⁻⁶ C

    * r = 0.05 m

    We can calculate the electric force between them as follows:

    1. Plug in the values:

    F = (8.98755 × 10⁹ N⋅m²/C²) * (2.0 x 10⁻⁶ C) * (-1.0 x 10⁻⁶ C) / (0.05 m)²

    2. Calculate:

    F = -0.719 N

    3. Interpret: The force is negative, indicating that the charges are attracted to each other. The magnitude of the force is 0.719 N.

    Note: The negative sign in the example indicates that the force is attractive.

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