http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Ajohnosn375 2026-04-19T10:16:15Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10820 2015-12-03T21:37:18Z

<p>Ajohnosn375: /* History */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Maxwell's theory of electromagnetism (1865) stated that there where electromagnetic waves moving at the speed of light. Maxwell concluded that light itself was just such a wave. After this famous book many scientists tried to detect this electromagnetic radiation using various electrical apparatuses. <br /> <br /> In 1886, Heinrich Hertz tried to prove Maxwell's theory with his own electrical apparatus. He made a high voltage induction coil, a capacitor and a spark gap to cause a spark discharge between the spark gap’s two poles which moved back and forth at a frequency determined the capacitor and the induction coil. <br /> <br /> .<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> &quot;Heinrich Hertz: The Discovery of Radio Waves.&quot; Heinrich Hertz: The Discovery of Radio Waves. Web. 3 Dec. 2015 http://www.juliantrubin.com/bigten/hertzexperiment.html<br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10819 2015-12-03T21:37:07Z

<p>Ajohnosn375: /* History */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Maxwell's theory of electromagnetism (1865) stated that there where electromagnetic waves moving at the speed of light. Maxwell concluded that light itself was just such a wave. After this famous book many scientists tried to detect this electromagnetic radiation using various electrical apparatuses. <br /> <br /> In 1886, Heinrich Hertz tried to prove Maxwell's theory with his own electrical apparatus. He made a high voltage induction coil, a capacitor and a spark gap to cause a spark discharge between the spark gap’s two poles which moved back and forth at a frequency determined the capacitor and the induction coil. <br /> <br /> .<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> &quot;Heinrich Hertz: The Discovery of Radio Waves.&quot; Heinrich Hertz: The Discovery of Radio Waves. Web. 3 Dec. 2015 http://www.juliantrubin.com/bigten/hertzexperiment.html<br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10815 2015-12-03T21:36:46Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Maxwell's theory of electromagnetism (1865) stated that there where electromagnetic waves moving at the speed of light. Maxwell concluded that light itself was just such a wave. After this famous book many scientists tried to detect this electromagnetic radiation using various electrical apparatuses. <br /> <br /> In 1886, Heinrich Hertz tried to prove Maxwell's theory with his own electrical apparatus. He made a high voltage induction coil, a capacitor and a spark gap to cause a spark discharge between the spark gap’s two poles which moved back and forth at a frequency determined the capacitor and the induction coil. <br /> <br /> .<br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> &quot;Heinrich Hertz: The Discovery of Radio Waves.&quot; Heinrich Hertz: The Discovery of Radio Waves. Web. 3 Dec. 2015 http://www.juliantrubin.com/bigten/hertzexperiment.html<br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10224 2015-12-03T17:02:49Z

<p>Ajohnosn375: /* History */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> http://fas.org/spp/military/docops/afwa/U2.htm<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10215 2015-12-03T16:59:15Z

<p>Ajohnosn375: /* References */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10212 2015-12-03T16:58:22Z

<p>Ajohnosn375: /* Connectedness */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans, Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10210 2015-12-03T16:58:11Z

<p>Ajohnosn375: /* Connectedness */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans,Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10209 2015-12-03T16:57:55Z

<p>Ajohnosn375: /* Connectedness */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> <br /> Frequency and Wavelength relate to cancer risk testing. For example, imaging and radiology like x-rays and other like Computed tomography (CT) scans,<br /> Magnetic resonance imaging (MRI) scans, Mammography, and Ultrasound save millions of lives by detecting cancer and aid in formulating treatment plans. Each of these tests requires a very specific wavelength and frequency to take images. These medical machines that use electromagnetic waves are directly related to the biomedical engineering field.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10200 2015-12-03T16:45:18Z

<p>Ajohnosn375: /* Examples */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico)= 10e-12 <br /> <br /> n (nano)= 10e-9 <br /> <br /> µ (micro)= 10e-6 <br /> <br /> m (milli)= 10e-3 <br /> <br /> k (kilo)= 10e3<br /> <br /> M (mega)= 10e6<br /> <br /> G (Giga)= 10e9<br /> <br /> T (Tera)= 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10198 2015-12-03T16:44:36Z

<p>Ajohnosn375: /* Examples */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> <br /> p (pico) 10e-12 <br /> <br /> n (nano) 10e-9 <br /> <br /> µ (micro) 10e-6 <br /> <br /> m (milli) 10e-3 <br /> <br /> k (kilo) 10e3<br /> <br /> M (mega) 10e6<br /> <br /> G (Giga) 10e9<br /> <br /> T (Tera) 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10197 2015-12-03T16:44:07Z

<p>Ajohnosn375: /* Examples */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> Conversions to meters per second:<br /> <br /> Prefix <br /> p (pico) 10e-12 <br /> n (nano) 10e-9 <br /> µ (micro) 10e-6 <br /> m (milli) 10e-3 <br /> k (kilo) 10e3<br /> M (mega) 10e6<br /> G (Giga) 10e9<br /> T (Tera) 10e12<br /> <br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10189 2015-12-03T16:39:31Z

<p>Ajohnosn375: /* Difficult */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> Problem #3a: Calculate the frequency of radiation with a wavelength of 4.92 cm. <br /> Problem #3b: Calculate the frequency of radiation with a wavelength of 4.55 x 10¯9 cm.<br /> <br /> Comment: since the wavelengths are already in cm, we can use c = 3.00 x 1010 cm s¯1 and not have to do any conversions at all.<br /> <br /> Solution to 3a:<br /> <br /> (4.92 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.10 x 109 s¯1<br /> <br /> Solution to 3b:<br /> <br /> (4.55 x 10¯9 cm) (x) = 3.00 x 1010 cm s¯1<br /> x = 6.59 x 1018 s¯<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10188 2015-12-03T16:39:22Z

<p>Ajohnosn375: /* Middling */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> Problem #2a: Calculate the frequency of electromagnetic radiation that has a wavelength of 1.315 micrometers. <br /> Problem #2b: What is the frequency of infrared radiation of wavelength 67.5 μm?<br /> <br /> Solution to 2a:<br /> <br /> 1) Convert μm to m:<br /> <br /> 1.315 μm x (1 m / 106 μm) = 1.315 x 10¯6 m<br /> 2) Substitute into λν = c:<br /> <br /> (1.315 x 10¯6 m) (x) = 3.00 x 108 m s¯1<br /> x = 2.28 x 1014 s¯1<br /> <br /> Solution to 2b:<br /> <br /> 1) Convert μm to m:<br /> <br /> 67.5 μm = 67.5 x 10-6 m<br /> 2) Use λν = c to determine the frequency:<br /> <br /> (67.5 x 10-6 m) (x) = 3.00 x 108 m/s<br /> x = 4.44 x 1012 s-1<br /> <br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10187 2015-12-03T16:39:04Z

<p>Ajohnosn375: /* Simple */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> Problem #1a: Calculate the frequency of radiation with a wavelength of 442 nm. <br /> Example #1b: The wavelength of an argon laser's output is 488.0 nm. Calculate the frequency of this wavelength of electromagnetic radiation.<br /> <br /> Solution to 1a:<br /> <br /> 1) Convert nm to m:<br /> <br /> 442 nm x (1 m / 109 nm) = 4.42 x 10¯7 m<br /> 2) Substitute into λν = c:<br /> <br /> (4.42 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.79 x 1014 s¯1<br /> <br /> Solution to 1b:<br /> <br /> 1) Convert nm to m:<br /> <br /> 488 nm x (1 m / 109 nm) = 4.88 x 10¯7 m<br /> Then, substitute into λν = c:<br /> <br /> (4.88 x 10¯7 m) (x) = 3.00 x 108 m s¯1<br /> x = 6.15 x 1014 s¯1<br /> <br /> The use of nm for wavelength is quite common.<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10163 2015-12-03T16:24:56Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10162 2015-12-03T16:24:34Z

<p>Ajohnosn375: /* A Computational Model */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10161 2015-12-03T16:24:03Z

<p>Ajohnosn375: /* The Main Idea */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10160 2015-12-03T16:23:37Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> <br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10157 2015-12-03T16:21:36Z

<p>Ajohnosn375: /* A Computational Model */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> ===A Computational Model===<br /> <br /> [[File:Frequencyvswavelengthwave.png|600px|thumb|right|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10154 2015-12-03T16:20:30Z

<p>Ajohnosn375: /* A Computational Model */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> ===A Computational Model===<br /> <br /> Frequencyvswavelengthwave.png<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=File:Frequencyvswavelengthwave.png&diff=10151 2015-12-03T16:19:41Z

<p>Ajohnosn375: </p> <hr /> <div></div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10136 2015-12-03T15:56:53Z

<p>Ajohnosn375: /* A Mathematical Model */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> ===Relationship Between Frequency and Period===<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> <br /> ===Relationship Between Frequency and Wavelength===<br /> <br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> ===Relationship Between Frequency and Angular Frequency===<br /> <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10135 2015-12-03T15:52:51Z

<p>Ajohnosn375: /* See also */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> <br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10134 2015-12-03T15:48:33Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> For more interest in the movement of sinusoidal waves over time visit:<br /> http://www.physicsbook.gatech.edu/Electromagnetic_Propagation<br /> For interest in how wave length and frequency relate to radiation visit:<br /> http://www.physicsbook.gatech.edu/Sinusoidal_Electromagnetic_Radiaton<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10132 2015-12-03T15:44:21Z

<p>Ajohnosn375: /* Further reading */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Chabay, Ruth W., and Bruce A. Sherwood. Matter &amp; Interactions. 3rd ed. Hoboken, NJ: Wiley, 2011. Print<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10130 2015-12-03T15:42:50Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> <br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10129 2015-12-03T15:42:01Z

<p>Ajohnosn375: /* External links */</p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> https://www.youtube.com/watch?v=tJW_a6JeXD8<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10122 2015-12-03T15:26:12Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1), and '''lambda''' is the wavelength.<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; 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).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=10119 2015-12-03T15:23:37Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (c = 2.998×108 m s−1<br /> ), and '''lambda''' is the wavelength.<br /> where:<br /> *''c'' = {{val|299792458|u=m/s}} is the [[speed of light]] in a vacuum<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> :&lt;math&gt;\omega = {{2 \pi} \over T} = {2 \pi f} , &lt;/math&gt; where '''ω''' is the angular frequency or angular speed (measured in [[radians per second]]),'''T''' is the [[Frequency|period]] (measured in [[second]]s),'''f'' is the [[ordinary frequency]] (measured in [[hertz]]) (sometimes symbolised with [[nu (letter)|ν]]).<br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5927 2015-12-01T16:59:15Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}&lt;/math&gt; where '''F''' is the frequency, '''c''' is the speed of light constant (), and '''lambda''' <br /> where:<br /> *''c'' = {{val|299792458|u=m/s}} is the [[speed of light]] in a vacuum<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5922 2015-12-01T16:56:39Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda}.&lt;/math&gt;<br /> where:<br /> *''c'' = {{val|299792458|u=m/s}} is the [[speed of light]] in a vacuum<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5920 2015-12-01T16:55:59Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt; where '''F''' is the frequency and '''T''' is the period.<br /> :&lt;math&gt;f = \frac{c}{\lambda},<br /> where:<br /> *''c'' = {{val|299792458|u=m/s}} is the [[speed of light]] in a vacuum<br /> <br /> <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5903 2015-12-01T16:47:24Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt; where '''F''' is the waves frequency and '''T''' <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5901 2015-12-01T16:45:35Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> <br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt; where '''F''' is the waves frequency and '''T''' <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5898 2015-12-01T16:41:59Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> *What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt; where '''F''' is the waves frequency and '''T''' <br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5895 2015-12-01T16:37:51Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction. Wavelength is directly related to frequency. Wavelength is the speed of light divided by the frequency. 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.<br /> [[File:Electromagneticspectromwavelength.JPG|200px|thumb|left|Types of Electromagnetic Radiation Characterized by Wavelength]]<br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=File:Electromagneticspectromwavelength.JPG&diff=5893 2015-12-01T16:35:39Z

<p>Ajohnosn375: </p> <hr /> <div></div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5891 2015-12-01T16:34:55Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction. Wavelength is directly related to frequency. Wavelength is the speed of light divided by the frequency. 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.<br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5875 2015-12-01T16:29:22Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> <br /> 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). <br /> Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction. Wavelength is directly related to frequency. Wavelength is the speed of light divided by the frequency. 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<br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5870 2015-12-01T16:22:42Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> *State, in your own words, the main idea for this topic<br /> The frequency of a sinusoidal electromagnetic wave is also the inverse of that waves 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). <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> Frequency can we described by angular frequency with the following model. <br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5451 2015-12-01T02:56:49Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5450 2015-12-01T02:56:29Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5448 2015-12-01T02:56:04Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> *Short Description of Topic<br /> 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.[[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5439 2015-12-01T02:54:54Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> Short Description of Topic<br /> 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.<br /> <br /> ==The Main Idea==<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5427 2015-12-01T02:51:50Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> <br /> Short Description of Topic<br /> <br /> ==The Main Idea==<br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5424 2015-12-01T02:51:13Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> [[File:Simplesinewave.jpg|200px|thumb|left|Example of a Wavelength measurement on a simple sine wave]]<br /> <br /> Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5420 2015-12-01T02:49:11Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> [[File:Simplesinewave.jpg]]<br /> <br /> Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5416 2015-12-01T02:46:15Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> [[File:wavelengthsinewave.png|200px|thumb|left|alt text]]<br /> <br /> Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=File:Simplesinewave.jpg&diff=5404 2015-12-01T02:41:18Z

<p>Ajohnosn375: </p> <hr /> <div></div>

Ajohnosn375 http://www.physicsbook.gatech.edu/index.php?title=Wavelength_and_Frequency&diff=5376 2015-12-01T02:32:04Z

<p>Ajohnosn375: </p> <hr /> <div><br /> Under Construction By Allie Johnson<br /> <br /> Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> Electric Field of Capacitor<br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> :&lt;math&gt;f = \frac{1}{T}.&lt;/math&gt;<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Ajohnosn375