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  • Maxwell's Equations and the Speed of Light: A Detailed Explanation
    James Maxwell didn't directly calculate the speed of light. He derived a set of equations, now known as Maxwell's equations, that describe the behavior of electric and magnetic fields. These equations predicted the existence of electromagnetic waves that would travel at a specific speed.

    The speed of these waves, derived from Maxwell's equations, is given by:

    c = 1 / √(ε₀μ₀)

    where:

    * c is the speed of light in a vacuum

    * ε₀ is the permittivity of free space

    * μ₀ is the permeability of free space

    These constants were already known at the time, and plugging them into the equation yielded a value very close to the experimentally measured speed of light. This was a groundbreaking discovery, as it showed that light is an electromagnetic wave and that its speed is a fundamental constant of nature.

    Therefore, it was the consequence of Maxwell's equations, not a direct calculation by Maxwell himself, that established the speed of light as approximately 299,792,458 meters per second.

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