Charged Rod - Revision history

Kfarley32 at 18:23, 29 November 2017

2017-11-29T18:23:16Z

← Older revision		Revision as of 14:23, 29 November 2017
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	'''Claimed by ~~Kathryn Farley (Fall 2017~~)'''		'''Claimed by )'''

	Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes. Figures used in the examples were drawn by me.		Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes. Figures used in the examples were drawn by me.

Kfarley32 at 18:20, 29 November 2017

2017-11-29T18:20:43Z

← Older revision		Revision as of 14:20, 29 November 2017
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	'''Claimed by ~~Edoardo Moauro~~ (Fall ~~2016)'''~~		'''Claimed by Kathryn Farley (Fall 2017)'''

	~~'''Claimed by Carter Gillon (Spring~~ 2017)'''

	Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes. Figures used in the examples were drawn by me.		Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes. Figures used in the examples were drawn by me.

Cgillon3 at 21:06, 9 April 2017

2017-04-09T21:06:02Z

← Older revision		Revision as of 17:06, 9 April 2017
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	'''Claimed by Carter Gillon (Spring 2017)'''		'''Claimed by Carter Gillon (Spring 2017)'''

	Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes.		Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes. Figures used in the examples were drawn by me.

	Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.		Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.

Cgillon3 at 21:04, 9 April 2017

2017-04-09T21:04:47Z

← Older revision		Revision as of 17:04, 9 April 2017
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	'''Claimed by Carter Gillon (Spring 2017)'''		'''Claimed by Carter Gillon (Spring 2017)'''

	Changes: Reformatting to match the template, adding a computational model, adding examples, some grammatical/spelling fixes.		Changes: Reformatting to match the template, adding a computational model, adding examples, and some grammatical/spelling fixes.

	Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.		Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.

	==The Main Idea: Electric Field of Distributed Charges==		==The Main Idea: Electric Field of Distributed Charges==

	===A Uniformly Charged Thin Rod===		===A Uniformly Charged Thin Rod===

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	===Simple===		===Simple===

			This problem is meant to give you practice using the pre-derived formulas. While this is good for understanding the differences between the use of the actual formula and the approximation, you will almost always have to derive it yourself on the exam for a different scenario.

	'''Problem Statement'''		'''Problem Statement'''
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	===Difficult===		===Difficult===

			This problem is meant to combine the first two examples to give you practice doing an actual exam problem, where you're presented with an unfamiliar setup, and have to derive the formula for electric field yourself.

	'''Problem Statement:'''		'''Problem Statement:'''

Cgillon3 at 18:01, 9 April 2017

2017-04-09T18:01:02Z

← Older revision		Revision as of 14:01, 9 April 2017
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	'''Claimed by Carter Gillon (Spring 2017)'''		'''Claimed by Carter Gillon (Spring 2017)'''

	Changes: Reformatting to match the template, adding a computational model, adding examples.		Changes: Reformatting to match the template, adding a computational model, adding examples, some grammatical/spelling fixes.

	Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.		Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.

Cgillon3: /* History and Applications */

2017-04-09T18:00:35Z

History and Applications

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	==History and Applications==		==History and Applications==

	"Physicists and scientists make use of electric fields and charged objects all the time. Many times we may need to know ~~what~~ objects are contributing how much charge in certain areas. Charged objects may attract or repel (depending on the signs of their charge), so we often need to know how objects will interact with each other based on their charges. The phenomenon of this interaction or electric force between charged particles was finally confirmed and stated as a law in 1785 by French physicist Charles-Augustin de Coulomb, hence "Coulomb's Law. A portrait of ~~Coloumb~~ is shown below.		Physicists and scientists make use of electric fields and charged objects all the time. Many times, we may need to know which objects are contributing how much charge in certain areas. Charged objects may attract or repel (depending on the signs of their charge), so we often need to know how objects will interact with each other based on their charges. The phenomenon of this interaction, or electric force between charged particles, was finally confirmed and stated as a law in 1785 by French physicist Charles-Augustin de Coulomb, hence "Coulomb's Law." A portrait of Coulomb is shown below.

	[[File:coloumb.jpg]]		[[File:coloumb.jpg]]

	The model of a uniformly charged rod can be applicable to situations where the rod is interacting with other charged objects, whether they are large or microscopic, ~~in the case of~~ charged particles like protons or electrons travelling in the rod's field.		The model of a uniformly charged rod can be applicable to situations where the rod is interacting with other charged objects, whether they are large or microscopic, such as charged particles, like protons or electrons, travelling in the rod's field.

	==References==		==References==

Cgillon3: /* A Uniformly Charged Thin Rod */

2017-04-09T17:56:39Z

A Uniformly Charged Thin Rod

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	1. Divide the charged object into small pieces. Make a diagram and draw the electric field <math>\Delta \vec{E}</math> contributed by one of the pieces.		1. Divide the charged object into small pieces. Make a diagram and draw the electric field <math>\Delta \vec{E}</math> contributed by one of the pieces.

	2. Choose an origin and axes. Write an algebraic expression for the electric field <math>\Delta \vec{E}</math> due to one piece.		2. Choose an origin and the axes. Write an algebraic expression for the electric field <math>\Delta \vec{E}</math> due to one piece.

	3. Add up the contributions of all pieces, either numerically or symbolically.		3. Add up the contributions of all pieces, either numerically or symbolically.

Cgillon3 at 17:54, 9 April 2017

2017-04-09T17:54:00Z

← Older revision		Revision as of 13:54, 9 April 2017
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	'''Claimed by Edoardo Moauro (Fall 2016)'''		'''Claimed by Edoardo Moauro (Fall 2016)'''

	'''Claimed by Carter Gillon (Spring 2017)'''		'''Claimed by Carter Gillon (Spring 2017)'''
	Changes: Reformatting to match the template, adding a computational model, adding examples
			Changes: Reformatting to match the template, adding a computational model, adding examples.

	Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.		Some objects, such as rods, can be modeled as a uniformly charged object in order to calculate the electric field at some observation location. The following wiki page provides an overview of electric fields created by uniformly charged thin rods, briefly presenting its inception, some specific cases, and proof of concept experiments. The case of a uniformly charged thin rod is a fundamental example of electric field patterns and calculations within physics. Its implications can be applied to other charged objects, such as rings, disks, and spheres.

Cgillon3: /* Simple */

2017-04-09T17:53:29Z

Simple

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	'''Solution'''		'''Solution'''

	(a) Exact formula		'''(a) Exact formula'''

	From the exam formula sheet: <math> \|\vec{E_{rod}}\| = \frac{1}{4\pi\epsilon_{0}} \frac{Q}{r \sqrt{r^2 + (L/2)^2}} </math> (<math> r </math> perpendicular from the center)		From the exam formula sheet: <math> \|\vec{E_{rod}}\| = \frac{1}{4\pi\epsilon_{0}} \frac{Q}{r \sqrt{r^2 + (L/2)^2}} </math> (<math> r </math> perpendicular from the center)
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	<math> \|\vec{E_{rod}}\| = 4810.03 N/C </math>		<math> \|\vec{E_{rod}}\| = 4810.03 N/C </math>

	(b) Approximate Formula		'''(b) Approximate Formula'''

	From the exam formula sheet: <math> \|\vec{E_{rod}}\| = \frac{1}{4\pi\epsilon_{0}} \frac{2Q/L}{r} </math> (if <math> r << L) </math>		From the exam formula sheet: <math> \|\vec{E_{rod}}\| = \frac{1}{4\pi\epsilon_{0}} \frac{2Q/L}{r} </math> (if <math> r << L) </math>

Cgillon3: /* A Computational Model */

2017-04-09T17:53:10Z

A Computational Model

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	=== A Computational Model===		=== A Computational Model===
	[https://trinket.io/embed/glowscript/c59cde2427 This simulation] depicts the electric field around a charged rod.		[https://trinket.io/embed/glowscript/c59cde2427 This simulation] depicts the electric field around a charged rod.
			You can see how when mathematically finding the electric field around a rod, you treat the rod as a series of point charges. This is how it was done in the explanations above, and you can see the difficult example below to put this idea into practice.

	==Examples==		==Examples==