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  • Calculating Coulombs: A Practical Guide to Electrical Charge

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    What Is a Coulomb?

    A coulomb (C) is the unit of electric charge. It equals the charge of 6.242×1018 electrons, the amount of charge that flows when one ampere of current passes for one second.

    Key Properties of Coulombs

    • One coulomb = 6.242×1018 elementary charges
    • Current (in amperes) is the rate of coulombs per second
    • Voltage (in volts) represents the energy per coulomb, measured in joules

    Calculating Electrical Charge

    To find the total charge that passes through a circuit, multiply the current by the time the current flows:

    Q (C) = I (A) × t (s)

    Example: 20 A for 40 s → Q = 20 × 40 = 800 C.

    Determining Energy Transferred

    When you know the charge and the potential difference, the energy delivered is:

    E (J) = V (V) × Q (C)

    Example: 100 V and 3 C → E = 100 × 3 = 300 J.

    Using Coulomb’s Law

    Coulomb’s law describes the electrostatic force between two point charges:

    F = k q₁ q₂ / r²

    Where F is force (N), q₁ and q₂ are charges (C), r is separation (m), and k is Coulomb’s constant. In air, k ≈ 8.99 × 10⁹ N·m²/C².

    Like charges repel; opposite charges attract. The force decreases with the square of the distance.

    For detailed calculations or advanced topics, consult physics textbooks or reputable scientific resources.

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