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  • Calculating Electromagnetic Wave Frequency: A Comprehensive Guide
    Here's how to calculate the frequency of an electromagnetic wave given its wavelength:

    Understanding the Relationship

    * Speed of light (c): Electromagnetic waves travel at the speed of light, which is approximately 299,792,458 meters per second (m/s).

    * Wavelength (λ): The distance between two consecutive crests or troughs of the wave.

    * Frequency (f): The number of wave cycles passing a point per second.

    The relationship between these is:

    c = λ * f

    Solving for Frequency

    1. Convert wavelength to meters: 12,800 km = 12,800,000 meters

    2. Rearrange the equation to solve for frequency (f):

    f = c / λ

    3. Substitute the values:

    f = 299,792,458 m/s / 12,800,000 m

    4. Calculate the frequency:

    f ≈ 23.4 Hz (Hertz)

    Therefore, the frequency of an electromagnetic wave with a wavelength of 12,800 km is approximately 23.4 Hz.

    Important Note: This frequency falls within the Extremely Low Frequency (ELF) band, which is used for some long-range communication applications.

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