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  • Coulomb's Law: Calculating Force Between Opposing Charges - Definition & Formula
    You're asking about Coulomb's Law, which describes the force between two charged objects. Here's how it works:

    Coulomb's Law

    * Force is proportional to the product of the charges: The larger the charges, the stronger the force.

    * Force is inversely proportional to the square of the distance: As the charges get farther apart, the force weakens rapidly.

    Formula:

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

    Where:

    * F is the force between the charges (in Newtons)

    * k is Coulomb's constant (approximately 8.98755 × 10^9 N⋅m^2/C^2)

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

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

    Important Considerations

    * Opposite charges attract: If one charge is positive and the other is negative, the force will be attractive.

    * Like charges repel: If both charges are positive or both are negative, the force will be repulsive.

    Example

    Let's say you have two charges:

    * q1 = +2.0 Coulombs

    * q2 = -3.0 Coulombs

    * The distance between them is r = 0.5 meters

    Plugging into Coulomb's Law:

    F = (8.98755 × 10^9 N⋅m^2/C^2) * (2.0 C * -3.0 C) / (0.5 m)^2

    F = -2.15 × 10^11 Newtons

    The negative sign indicates an attractive force.

    Let me know if you'd like to calculate the force for a specific scenario, or if you have any more questions!

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