Sinusoidal Electromagnetic Radiaton - Revision history

Ivierno3: /* Charge Moving Sinusoidally */

2015-12-05T18:39:33Z

Charge Moving Sinusoidally

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	<br/> <math>y=ymax\sin(wt)</math> <br />where <math>w</math> is the angular frequency in radians per second.		<br/> <math>y=ymax\sin(wt)</math> <br />where <math>w</math> is the angular frequency in radians per second.

	<br />Will the electromagnetic radiation ~~also be be~~ emitted ~~sinusoidally~~?		<br />Will the electromagnetic radiation emitted is sinusoidal?
	<p>Yes. This can be proven by differentiating position to find velocity before differentiating again to find the acceleration. This sinusoidal acceleration is what causes the sinusoidal electromagnetic radiation. <br />		<p>Yes. This can be proven by differentiating position to find velocity before differentiating again to find the acceleration. This sinusoidal acceleration is what causes the sinusoidal electromagnetic radiation. <br />
	<math>v_y=\frac{dy}{dt}=wymax\cos(wt)</math><br /><br/><math>a_y=\frac{dv_y}{dt}=-w^2ymax\sin(wt)</math></p>		<math>v_y=\frac{dy}{dt}=wymax\cos(wt)</math><br /><br/><math>a_y=\frac{dv_y}{dt}=-w^2ymax\sin(wt)</math></p>

2015-12-05T18:37:31Z

Examples

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	==Examples==		==Examples==

	~~Be sure to show all steps in your solution and include diagrams whenever possible~~

	~~===Simple===~~
	Calculate the wavelength of a radio which has 1380 kiloHertz.		Calculate the wavelength of a radio which has 1380 kiloHertz.

2015-12-05T18:37:03Z

Simple

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	First convert kilohertz to Hertz by <math>1380*1000=1380000</math>		First convert kilohertz to Hertz by <math>1380*1000=1380000</math>
	Secondly wavelength is speed of light over frequency so <math>\frac{3e8}{1380000}=217.39m		Secondly wavelength is speed of light over frequency so <math>\frac{3e8}{1380000}=217.39m</math>

	==Connectedness==		==Connectedness==

2015-12-05T18:36:36Z

Simple

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	===Simple===		===Simple===
	~~Show that~~ the ~~electromagnetic radiation emitted is sinusoidally when the charge is moving sinusoidally~~.		Calculate the wavelength of a radio which has 1380 kiloHertz.

			First convert kilohertz to Hertz by <math>1380*1000=1380000</math>
			Secondly wavelength is speed of light over frequency so <math>\frac{3e8}{1380000}=217.39m

	==Connectedness==		==Connectedness==

2015-12-05T18:32:25Z

Electromagnetic Spectrum

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	Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength. The image shows how different things are categorized based on wavelength.		Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength. The image shows how different things are categorized based on wavelength.
	[[File:~~spectrum123~~.jpg]]		[[File:Spectrum123.jpg]]

	===A Computational Model===		===A Computational Model===

2015-12-05T18:31:34Z

Electromagnetic Spectrum

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	Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength. The image shows how different things are categorized based on wavelength.		Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength. The image shows how different things are categorized based on wavelength.
	[[File:~~spectrum~~.jpg]]		[[File:spectrum123.jpg]]

	===A Computational Model===		===A Computational Model===

2015-12-05T18:30:33Z

Electromagnetic Spectrum

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	===Electromagnetic Spectrum===		===Electromagnetic Spectrum===

	Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength.		Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength. The image shows how different things are categorized based on wavelength.
			[[File:spectrum.jpg]]

	===A Computational Model===		===A Computational Model===

2015-12-05T18:28:27Z

Speed

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	Speed of propagation of electromagnetic wave can be measured in two different ways.		Speed of propagation of electromagnetic wave can be measured in two different ways.
	#The first way is by following the maximum amplitude (the peak of the oscillation). You will notice that it travels one wavelength in a period. Thus speed of crest is		#The first way is by following the maximum amplitude (the peak of the oscillation). You will notice that it travels one wavelength in a period. Thus speed of crest is wavelength over period.
	#Another way is ~~using the it of~~ the arrival of the radiative electric field.		#Another way is by timing the arrival of the radiative electric field, which would be distance over change of time.

	These two ways of calculating speed will give you a constant answer in a vacuum. However discrepancies can occur in space ~~through which~~ light wave has to travel to water, glass or even air.		These two ways of calculating speed will give you a constant answer in a vacuum. However discrepancies can occur in space when light wave has to travel through water, glass or even air.

	===Polarized Radiation===		===Polarized Radiation===

2015-12-05T18:22:12Z

A Computational Model

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	===A Computational Model===		===A Computational Model===

	~~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]~~		Visit the link to below to observe how amplitude and frequency affects sinusoidal waves and the direction of speed.
			https://phet.colorado.edu/sims/radiating-charge/radiating-charge_en.html

	==Examples==		==Examples==

2015-12-05T18:15:02Z

A Mathematical Model

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	Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength.		Electromagnetic spectrum is the range of all types of electromagnetic radiation, according to frequency and wavelength.

	~~===A Mathematical Model===~~

	What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.

	===A Computational Model===		===A Computational Model===