Wavelength and Frequency: Difference between revisions
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Wavelength and Frequency are used to describe a sinusoidal electromagnetic wave. Frequency is the number of peaks per second that pass a given location. Wavelength is the distance between two peaks. | Wavelength and Frequency are used to describe a sinusoidal electromagnetic wave. Frequency is the number of peaks per second that pass a given location. Wavelength is the distance between two peaks. | ||
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==The Main Idea== | ==The Main Idea== | ||
The frequency of a sinusoidal electromagnetic wave is also the inverse of the period. When that wave is plotted over time, a period will be the distance between two peaks. Frequency is measured in inverse seconds or hertz (Hz). | The frequency of a sinusoidal electromagnetic wave is also the inverse of the period. When that wave is plotted over time, a period will be the distance between two peaks. Frequency is measured in inverse seconds or hertz (Hz). | ||
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
:<math>f = \frac{1}{T}</math> where '''F''' is the frequency and '''T''' is the period. | :<math>f = \frac{1}{T}</math> where '''F''' is the frequency and '''T''' is the period. | ||
Revision as of 10:42, 3 December 2015
Under Construction By Allie Johnson
Wavelength and Frequency are used to describe a sinusoidal electromagnetic wave. Frequency is the number of peaks per second that pass a given location. Wavelength is the distance between two peaks.
The Main Idea
The frequency of a sinusoidal electromagnetic wave is also the inverse of the period. When that wave is plotted over time, a period will be the distance between two peaks. Frequency is measured in inverse seconds or hertz (Hz). Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.
Wavelength is directly proportional to frequency. Wavelength is the speed of light divided by the frequency. Therefore, as frequency increases wavelength decreases. This is because over a specific amount of time, the wave will move at the speed of light. Electromagnetic radiation is categorized by its wavelength, spanning from gamma rays to radio waves.
A Mathematical Model
- [math]\displaystyle{ f = \frac{1}{T} }[/math] where F is the frequency and T is the period.
- [math]\displaystyle{ f = \frac{c}{\lambda} }[/math] where F is the frequency, c is the speed of light constant (c = 2.998×108 m s−1), and lambda is the wavelength.
Frequency can we described by angular frequency with the following model.
- [math]\displaystyle{ \omega = {{2 \pi} \over T} = {2 \pi f} , }[/math] where ω is the angular frequency or angular speed (radians per second),T is the frequency over period (measured in seconds), and f is the ordinary frequency (measured in hertz).
A Computational Model
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