Physics Book - User contributions [en]

Charged Rod

2015-12-05T23:59:05Z

Spennell3: /* =The Algorithm */

This page provides an explanation of the electric field caused by a uniformly charged thin rod.

The explanation for a uniformly charged rod is the simplest example for a uniformly charged object. The algorithm applied here can be applied to any object.

==The Algorithm==

Consider a uniformly charged thin rod of Length <math>L</math> and positive Charge <math>Q</math>.

'''First Step'''

Imagine dividing the rod into a series of very thin slices, each with the same charge <math>\Delta Q</math>. This charge <math>\Delta Q</math> is a small part of the overall charge. Imagine it as a point charge. Each slice contributes its own electric field, <math>\Delta E</math>. Summing all these individual slices of <math>E</math> gives you the Electric Field of the rod. You may recall from your calculus training that this is the same as taking an integral, as each thickness approaches 0 and the the number of slices approaches infinity. Note that in this example, the variable that is changing for each slice is its x-coordinate.

'''Second Step'''

The second step is to write a mathematical expression for the field <math>\Delta E</math> contributed by a single slice of the rod. Because we are imagining each slice as a point charge, we use the formula for a point charge. First, determine <math>r</math>, the vector pointing from the source to the observation location. For our example, this is <math> r = obs - source = <0,y,0> - < x,0,0> = <-x,y,0></math>. Now use this to calculate the magnitude and direction of <math>r</math>. So <math>|\vec{r}| = \sqrt{x^2 + (-y)^2} = \sqrt{x^2 + y^2}</math> and <math>\hat{r} = \frac{\vec{r}}{\hat{r}} = \frac{< x,-y,0>}{\sqrt{x^2 + y^2}} </math>. <math> \hat{r}</math> is the vector portion of the expression for the field. The scalar portion is <math> \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{|\vec{r}|^2}</math>. Thus the expression for one slice of the rod is:
<math> \Delta \vec{E} = \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{(\sqrt{x^2+y^2})^{3/2}} \cdot < x,-y,0> </math>.

'''Determining <math>\Delta Q</math> and the integration variable'''
In the first step we determined that the changing variable for this rod was its ''x'' coordinate. This should signify to you that the integration variable is <math> dx</math>. We need to put this integration variable into our expression for the electric field. More specifically, we need to express <math>\Delta Q</math> in terms of the integration variable. Recall that the rod is uniformly charged, so the charge on any slice of it is: <math>
\Delta Q = (\frac{\Delta x}{L})\cdot Q</math>. This quantity can also be expressed in terms of the charge density.

'''Expression for <math> \Delta \vec{E}</math>

Substituting what we just found into our previous expression and dividing into x and y components we get <math> \Delta \vec{E_x} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{x}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math> and <math> \Delta \vec{E_y} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{-y}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math>. Note that we have replaced <math> \Delta y </math> with <math> dy</math> in preparation for integration.

'''Third Step'''

The third step is to sum all of our slices. One way is with Numerical summation. Another, more precise method is to integrate. Most of the work of finding the field of a uniformly charged object is setting up this integral. If you have reached the correct expression to integrate, the rest is simple math. The bounds for integration are the coordinates of the start and stop of the rod. In this example the bounds are from <math>-L/2</math> to <math>+L/2</math>. So the expression is <math> \int\limits_{-L/2}^{L/2}\ \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{-y}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy. </math> Solving this gives the final expression <math> E = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{r} \cdot \frac{1}{(\sqrt{r^2+ (L/2)^2})} </math> Note that the field parallel to the x axis is zero. This can be observed due to the symmetry of the problem.

Work in progress
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:47, 2 December 2015 (EST)

Charged Rod

2015-12-02T19:47:37Z

Spennell3:

This page provides an explanation of the electric field caused by a uniformly charged thin rod.

The explanation for a uniformly charged rod is the simplest example for a uniformly charged object. The algorithm applied here can be applied to any object.

===The Algorithm==

Consider a uniformly charged thin rod of Length <math>L</math> and positive Charge <math>Q</math>.

'''First Step'''

Imagine dividing the rod into a series of very thin slices, each with the same charge <math>\Delta Q</math>. This charge <math>\Delta Q</math> is a small part of the overall charge. Imagine it as a point charge. Each slice contributes its own electric field, <math>\Delta E</math>. Summing all these individual slices of <math>E</math> gives you the Electric Field of the rod. You may recall from your calculus training that this is the same as taking an integral, as each thickness approaches 0 and the the number of slices approaches infinity. Note that in this example, the variable that is changing for each slice is its x-coordinate.

'''Second Step'''

The second step is to write a mathematical expression for the field <math>\Delta E</math> contributed by a single slice of the rod. Because we are imagining each slice as a point charge, we use the formula for a point charge. First, determine <math>r</math>, the vector pointing from the source to the observation location. For our example, this is <math> r = obs - source = <0,y,0> - < x,0,0> = <-x,y,0></math>. Now use this to calculate the magnitude and direction of <math>r</math>. So <math>|\vec{r}| = \sqrt{x^2 + (-y)^2} = \sqrt{x^2 + y^2}</math> and <math>\hat{r} = \frac{\vec{r}}{\hat{r}} = \frac{< x,-y,0>}{\sqrt{x^2 + y^2}} </math>. <math> \hat{r}</math> is the vector portion of the expression for the field. The scalar portion is <math> \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{|\vec{r}|^2}</math>. Thus the expression for one slice of the rod is:
<math> \Delta \vec{E} = \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{(\sqrt{x^2+y^2})^{3/2}} \cdot < x,-y,0> </math>.

'''Determining <math>\Delta Q</math> and the integration variable'''
In the first step we determined that the changing variable for this rod was its ''x'' coordinate. This should signify to you that the integration variable is <math> dx</math>. We need to put this integration variable into our expression for the electric field. More specifically, we need to express <math>\Delta Q</math> in terms of the integration variable. Recall that the rod is uniformly charged, so the charge on any slice of it is: <math>
\Delta Q = (\frac{\Delta x}{L})\cdot Q</math>. This quantity can also be expressed in terms of the charge density.

'''Expression for <math> \Delta \vec{E}</math>

Substituting what we just found into our previous expression and dividing into x and y components we get <math> \Delta \vec{E_x} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{x}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math> and <math> \Delta \vec{E_y} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{-y}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math>. Note that we have replaced <math> \Delta y </math> with <math> dy</math> in preparation for integration.

'''Third Step'''

The third step is to sum all of our slices. One way is with Numerical summation. Another, more precise method is to integrate. Most of the work of finding the field of a uniformly charged object is setting up this integral. If you have reached the correct expression to integrate, the rest is simple math. The bounds for integration are the coordinates of the start and stop of the rod. In this example the bounds are from <math>-L/2</math> to <math>+L/2</math>. So the expression is <math> \int\limits_{-L/2}^{L/2}\ \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{-y}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy. </math> Solving this gives the final expression <math> E = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{r} \cdot \frac{1}{(\sqrt{r^2+ (L/2)^2})} </math> Note that the field parallel to the x axis is zero. This can be observed due to the symmetry of the problem.

Work in progress
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:47, 2 December 2015 (EST)

Charged Rod

2015-10-22T01:51:33Z

Spennell3: Created page with "This page provides an explanation of the electric field caused by a uniformly charged thin rod. The explanation for a uniformly charged rod is the simplest example for a unif..."

This page provides an explanation of the electric field caused by a uniformly charged thin rod.

The explanation for a uniformly charged rod is the simplest example for a uniformly charged object. The algorithm applied here can be applied to any object.

===The Algorithm==

Consider a uniformly charged thin rod of Length <math>L</math> and positive Charge <math>Q</math>.

'''First Step'''

Imagine dividing the rod into a series of very thin slices, each with the same charge <math>\Delta Q</math>. This charge <math>\Delta Q</math> is a small part of the overall charge. Imagine it as a point charge. Each slice contributes its own electric field, <math>\Delta E</math>. Summing all these individual slices of <math>E</math> gives you the Electric Field of the rod. You may recall from your calculus training that this is the same as taking an integral, as each thickness approaches 0 and the the number of slices approaches infinity. Note that in this example, the variable that is changing for each slice is its x-coordinate.

'''Second Step'''

The second step is to write a mathematical expression for the field <math>\Delta E</math> contributed by a single slice of the rod. Because we are imagining each slice as a point charge, we use the formula for a point charge. First, determine <math>r</math>, the vector pointing from the source to the observation location. For our example, this is <math> r = obs - source = <0,y,0> - < x,0,0> = <-x,y,0></math>. Now use this to calculate the magnitude and direction of <math>r</math>. So <math>|\vec{r}| = \sqrt{x^2 + (-y)^2} = \sqrt{x^2 + y^2}</math> and <math>\hat{r} = \frac{\vec{r}}{\hat{r}} = \frac{< x,-y,0>}{\sqrt{x^2 + y^2}} </math>. <math> \hat{r}</math> is the vector portion of the expression for the field. The scalar portion is <math> \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{|\vec{r}|^2}</math>. Thus the expression for one slice of the rod is:
<math> \Delta \vec{E} = \frac{1}{4\pi\epsilon_0} \cdot \frac{\Delta Q}{(\sqrt{x^2+y^2})^{3/2}} \cdot < x,-y,0> </math>.

'''Determining <math>\Delta Q</math> and the integration variable'''
In the first step we determined that the changing variable for this rod was its ''x'' coordinate. This should signify to you that the integration variable is <math> dx</math>. We need to put this integration variable into our expression for the electric field. More specifically, we need to express <math>\Delta Q</math> in terms of the integration variable. Recall that the rod is uniformly charged, so the charge on any slice of it is: <math>
\Delta Q = (\frac{\Delta x}{L})\cdot Q</math>. This quantity can also be expressed in terms of the charge density.

'''Expression for <math> \Delta \vec{E}</math>

Substituting what we just found into our previous expression and dividing into x and y components we get <math> \Delta \vec{E_x} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{x}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math> and <math> \Delta \vec{E_y} = \frac{1}{4\pi\epsilon_0} \cdot \frac{Q}{L} \cdot \frac{-y}{(\sqrt{x^2+y^2})^{3/2}} \cdot dy </math>. Note that we have replaced <math> \Delta y </math> with <math> dy</math> in preparation for integration.

'''Third Step'''

The third step is to sum all of our slices. One way is with Numerical summation. Another, more precise method is to integrate. Most of the work of finding the field of a uniformly charged object is setting up this integral. If you have reached the correct expression to integrate, the rest is simple math. The bounds for integration are the coordinates of the start and stop of the rod. In this example the bounds are from <math>-L/2</math> to <math>+L/2</math>. So the expression is <math> \int\limits_{-L/2}^{L/2}\ </math>

Work in progress
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 21:51, 21 October 2015 (EDT)

Constants

2015-10-20T17:51:27Z

Spennell3:

Table of Constants

{| class="wikitable"
|-
! Constant
! Symbol
! Approximate Value
! Units
|-
| Speed of light
| <math>c</math>
| <math> 3 \times 10^8</math>
| <math> m/s </math>
|-
| Gravitational Constant
| <math>G</math>
| <math> 6.7 \times 10^{-11}</math>
| <math> N \cdot m^2 / kg^2</math>
|-
| Electron Mass
| <math>m_e</math>
| <math> 9 \times 10^{-31}</math>
| <math> kg</math>
|-
| Proton Mass
| <math>m_p</math>
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Neutron Mass
| <math>m_n</math>
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Electric Constant
| <math> \frac{1}{4\pi\epsilon_0}</math>
| <math> 9 \times 10^9</math>
| <math> N \cdot m^2 / C^2</math>
|-
| Permitivity of Free Space
| <math> \epsilon_0</math>
| <math> 8.85 \times 10^{-12}</math>
| <math> (N \cdot m^2 / C^2)^{-1}</math>
|-
| Magnetic Constant
| <math> \frac{\mu_0}{4\pi}</math>
| <math> 1 \times 10^{-7}</math>
| <math> T\cdot m/A</math>
|-
| Vacuum Permeability
| <math> \mu_0</math>
| <math> 4\pi \times 10^{-7}</math>
| <math> T\cdot m/A </math>
|-
| Proton Charge
| <math> e</math>
| <math> 1.6 \times 10^{-19}</math>
| <math> C </math>
|-
| Electron Volt
| <math> eV </math>
| <math> 1.6 \times 10^{-19}</math>
| <math> J </math>
|-
| Avogadro's Number
| <math> N_A </math>
| <math> 6.02 \times 10^{23}</math>
| <math> molecules/mole </math>
|-
| Atomic Radius (approximate)
| <math> R_a </math>
| <math> 1 \times 10^{-10}</math>
| <math> m </math>
|-
| Proton Radius
| <math> R_p </math>
| <math> 1 \times 10^{-15}</math>
| <math> m </math>
|-
| ''E'' to ionize air
| <math> E_{ionize} </math>
| <math> 3 \times 10^{6}</math>
| <math> V/m </math>
|-
| Earth's Magnetic Field
| <math> B_{Earth} </math>
| <math> 2 \times 10^{-5}</math>
| <math> T </math>
|}
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:57, 19 October 2015 (EDT)

User:Spennell3

2015-10-19T23:21:57Z

Spennell3: Created page with "I am Sam Sam I am"

I am Sam
Sam I am

Constants

2015-10-19T23:21:02Z

Spennell3:

Table of Constants

{| class="wikitable"
|-
! Constant
! Symbol
! Approximate Value
! Units
|-
| Speed of light
| ''c''
| <math> 3 \times 10^8</math>
| <math> m/s </math>
|-
| Gravitational Constant
| ''G''
| <math> 6.7 \times 10^{-11}</math>
| <math> N \cdot m^2 / kg^2</math>
|-
| Electron Mass
| ''m_e''
| <math> 9 \times 10^{-31}</math>
| <math> kg</math>
|-
| Proton Mass
| ''m_p''
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Neutron Mass
| ''m_n''
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Electric Constant
| <math> \frac{1}{4\pi\epsilon_0}</math>
| <math> 9 \times 10^9</math>
| <math> N \cdot m^2 / C^2</math>
|-
| Permitivity of Free Space
| <math> \epsilon_0</math>
| <math> 8.85 \times 10^{-12}</math>
| <math> (N \cdot m^2 / C^2)^{-1}</math>
|-
| Magnetic Constant
| <math> \frac{\mu_0}{4\pi}</math>
| <math> 1 \times 10^{-7}</math>
| <math> T\cdot m/A</math>
|-
| Vacuum Permeability
| <math> \mu_0</math>
| <math> 4\pi \times 10^{-7}</math>
| <math> T\cdot m/A </math>
|-
| Proton Charge
| <math> e</math>
| <math> 1.6 \times 10^{-19}</math>
| <math> C </math>
|-
| Electron Volt
| <math> eV </math>
| <math> 1.6 \times 10^{-19}</math>
| <math> J </math>
|-
| Avogadro's Number
| <math> N_A </math>
| <math> 6.02 \times 10^{23}</math>
| <math> molecules/mole </math>
|-
| Atomic Radius (approximate)
| <math> R_a </math>
| <math> 1 \times 10^{-10}</math>
| <math> m </math>
|-
| Proton Radius
| <math> R_p </math>
| <math> 1 \times 10^{-15}</math>
| <math> m </math>
|-
| ''E'' to ionize air
| <math> E_{ionize} </math>
| <math> 3 \times 10^{6}</math>
| <math> V/m </math>
|-
| Earth's Magnetic Field
| <math> B_{Earth} </math>
| <math> 2 \times 10^{-5}</math>
| <math> T </math>
|}
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:57, 19 October 2015 (EDT)

Constants

2015-10-19T23:20:25Z

Spennell3:

Table of Constants

{| class="wikitable"
|-
! Constant
! Symbol
! Approximate Value
! Units
|-
| Speed of light
| ''c''
| <math> 3 \times 10^8</math>
| <math> m/s </math>
|-
| Gravitational Constant
| ''G''
| <math> 6.7 \times 10^{-11}</math>
| <math> N \cdot m^2 / kg^2</math>
|-
| Electron Mass
| ''m_e''
| <math> 9 \times 10^{-31}</math>
| <math> kg</math>
|-
| Proton Mass
| ''m_p''
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Neutron Mass
| ''m_n''
| <math> 1.7 \times 10^{-27}</math>
| <math> kg</math>
|-
| Electric Constant
| <math> \frac{1}{4\pi\epsilon_0}</math>
| <math> 9 \times 10^9</math>
| <math> N \cdot m^2 / C^2</math>
|-
| Permitivity of Free Space
| <math> \epsilon_0</math>
| <math> 8.85 \times 10^{-12}</math>
| <math> (N \cdot m^2 / C^2)^{-1}</math>
|-
| Magnetic Constant
| <math> \frac{\mu_0}{4\pi}</math>
| <math> 1 \times 10^{-7}</math>
| <math> T\cdot m/A</math>
|-
| Vacuum Permeability
| <math> \mu_0</math>
| <math> 4\pi \times 10^{-7}</math>
| <math> T\cdot m/A </math>
|-
| Proton Charge
| <math> e</math>
| <math> 1.6 \times 10^{-19}</math>
| <math> C </math>
|-
| Electron Volt
| <math> eV </math>
| <math> 1.6 \times 10^{-19}</math>
| <math> J </math>
|-
| Avogadro's Number
| <math> N_A </math>
| <math> 6.02 \times 10^{23}</math>
| <math> molecules/mole </math>
|-
| Atomic Radius (approximate)
| <math> R_a </math>
| <math> 1 \times 10^{-10}</math>
| <math> m </math>
|-
| Proton Radius
| <math> R_p </math>
| <math> 1 \times 10^{-15}</math>
| <math> m </math>
|-
| ''E'' to ionize air
| <math> E_ionize </math>
| <math> 3 \times 10^{6}</math>
| <math> V/m </math>
|-
| Earth's Magnetic Field
| <math> B_Earth </math>
| <math> 2 \times 10^{-5}</math>
| <math> T </math>
|}
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:57, 19 October 2015 (EDT)

Constants

2015-10-19T18:57:08Z

Spennell3:

Constants

2015-10-19T18:56:45Z

Spennell3:

Constants

2015-10-19T18:56:05Z

Spennell3: Created page with "Table of Constants {| class="wikitable" |- ! Constant ! Symbol ! Approximate Value ! Units |- | Speed of light | ''c'' | <math> 3 \times 10^8</math> | <math> m/s </math> |- |..."

Magnetic Field

2015-10-19T18:31:05Z

Spennell3:

This page discusses the general properties of magnetic fields

== Magnetic Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|\vec{r}|^2} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^{-7} T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. This equation is called the Biot-Savarde law. You may notice that this equation involves a cross product.

Page initiated by --[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:20, 19 October 2015 (EDT)
[[Category: Fields]]

Rest Mass Energy

2015-10-19T18:28:53Z

Spennell3: /* A Mathematical Model */ Fixed greek notation

Provide a brief summary of the page here

== Rest Mass Energy==

Work In Progress - Shiv Tailor
<math>\frac{\mathrm{dy} }{\mathrm{d} x}</math>

Energy is based in whole on Einstein's principle of E=MC^2. At its base it is the concept of how objects interact with their surroundings, their natural energy, or rest energy, the energy that they create when in motion(Kinetic energy) and how energy can change given different interactions which are based on einsteins principle.

===A Mathematical Model===
There are <math>E=\lambda mc^2</math> and
<math> E=mc^2</math> which reprsents the rest energy. taken together the kinetic energy becomes the overall energy- rest energy. Due to the complexity of this equation, it maybe easier to use the equation <math> 1/2mv^2</math> if the object is not traveling near the speed of light. This equation is applicable to everyday object that we see and more applicable for the "average" situation.
<br>

h

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===

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]

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

Main Page

2015-10-19T18:28:02Z

Spennell3: /* Fields */

__NOTOC__
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Looking to make a contribution?
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== Source Material ==
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* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*Fundamental Interactions
'''Fundamental interactions''', are the most basic interactions in physical systems.
There are four conventionally accepted fundamental interactions: '''Gravitational, Electromagnetic, Strong force, and Weak force.'''

The '''Garvitational Interaction''' is the ''Interaction'' that a planet or some other large body that has it's own gravitational field can exert
on the System from the Surroundings. The '''Gravitational Interaction''' from the Earth onto an object that is within Earth's gravitational field
is 9.81 meters per second squared (m/s^2).

The '''Electromagnetic Interaction''' is the ''Interaction'' that charged particles can exert on the System from the Surroundings. Here we use
'''Coulomb's Constant''' (8.98*10^9 n/m^2 (newtons*meters squared)) to describe the ''Interaction'' between electrically charged particles.

The '''Strong Force''' is the ''Interaction'' between subatomic particles of matter. The strong force binds quarks together in clusters to
make more-familiar subatomic particles, such as protons and neutrons. It also holds together the atomic nucleus.

The '''Weak force''' is the ''Interaction'' that governs the decay of unstable subatomic particles such as mesons. It also initiates the
nuclear fusion reaction that fuels the Sun.

*System & Surroundings.
A '''System''' is a part of the universe that we choose to study. The '''Surroundings''' are everything else that ''surrounds'' the '''System'''.

For further refrence, see: ''Thinking about Physics Thinking'' by Professor Michael Schatz[https://youtu.be/lr_89uaChps?t=1m4s]

I can't submit this for grading on WebAssign yet, so I'll just leave my signature with timestamp here. --[[User:Austinrocket|Austinrocket]] ([[User talk:Austinrocket|talk]]) 23:17, 18 October 2015 (EDT)
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*Charge
*Spin
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Momentum===
<div class="mw-collapsible-content">
* Vectors
* Kinematics
* Predicting Change in one dimension
* Predicting Change in multiple dimensions
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Angular Momentum===
<div class="mw-collapsible-content">
* The Moments of Inertia
* Rotation
* Torque
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*Potential Energy
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Charged Rod]]
** [[Charged Loop]]
** [[Charged Spherical Shell]]
*[[Magnetic Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*Components
*Steady State
*Non Steady State
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Maxwell's Equations===
<div class="mw-collapsible-content">
*Gauss's Flux Theorem
**Electric Fields
**Magnetic Fields
*Faraday's Law
*Ampere-Maxwell Law
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]

Magnetic field

2015-10-19T18:27:45Z

Spennell3: Spennell3 moved page Magnetic field to Magnetic Field

#REDIRECT [[Magnetic Field]]

Magnetic Field

2015-10-19T18:27:45Z

Spennell3: Spennell3 moved page Magnetic field to Magnetic Field

This page discusses the general properties of magnetic fields

== Magnetic Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|\vec{r}|^2} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. This equation is called the Biot-Savarde law. You may notice that this equation involves a cross product.

Page initiated by --[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:20, 19 October 2015 (EDT)
[[Category: Fields]]

Main Page

2015-10-19T18:26:32Z

Spennell3: /* Fields */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*Fundamental Interactions
'''Fundamental interactions''', are the most basic interactions in physical systems.
There are four conventionally accepted fundamental interactions: '''Gravitational, Electromagnetic, Strong force, and Weak force.'''

The '''Garvitational Interaction''' is the ''Interaction'' that a planet or some other large body that has it's own gravitational field can exert
on the System from the Surroundings. The '''Gravitational Interaction''' from the Earth onto an object that is within Earth's gravitational field
is 9.81 meters per second squared (m/s^2).

The '''Electromagnetic Interaction''' is the ''Interaction'' that charged particles can exert on the System from the Surroundings. Here we use
'''Coulomb's Constant''' (8.98*10^9 n/m^2 (newtons*meters squared)) to describe the ''Interaction'' between electrically charged particles.

The '''Strong Force''' is the ''Interaction'' between subatomic particles of matter. The strong force binds quarks together in clusters to
make more-familiar subatomic particles, such as protons and neutrons. It also holds together the atomic nucleus.

The '''Weak force''' is the ''Interaction'' that governs the decay of unstable subatomic particles such as mesons. It also initiates the
nuclear fusion reaction that fuels the Sun.

*System & Surroundings.
A '''System''' is a part of the universe that we choose to study. The '''Surroundings''' are everything else that ''surrounds'' the '''System'''.

For further refrence, see: ''Thinking about Physics Thinking'' by Professor Michael Schatz[https://youtu.be/lr_89uaChps?t=1m4s]

I can't submit this for grading on WebAssign yet, so I'll just leave my signature with timestamp here. --[[User:Austinrocket|Austinrocket]] ([[User talk:Austinrocket|talk]]) 23:17, 18 October 2015 (EDT)
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*Charge
*Spin
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Momentum===
<div class="mw-collapsible-content">
* Vectors
* Kinematics
* Predicting Change in one dimension
* Predicting Change in multiple dimensions
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Angular Momentum===
<div class="mw-collapsible-content">
* The Moments of Inertia
* Rotation
* Torque
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*Potential Energy
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Charged Rod]]
** [[Charged Loop]]
** [[Charged Spherical Shell]]
*[[Magnetic field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*Components
*Steady State
*Non Steady State
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Maxwell's Equations===
<div class="mw-collapsible-content">
*Gauss's Flux Theorem
**Electric Fields
**Magnetic Fields
*Faraday's Law
*Ampere-Maxwell Law
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]

Main Page

2015-10-19T18:25:03Z

Spennell3: /* Fields */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Catagories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*Fundamental Interactions
'''Fundamental interactions''', are the most basic interactions in physical systems.
There are four conventionally accepted fundamental interactions: '''Gravitational, Electromagnetic, Strong force, and Weak force.'''

The '''Garvitational Interaction''' is the ''Interaction'' that a planet or some other large body that has it's own gravitational field can exert
on the System from the Surroundings. The '''Gravitational Interaction''' from the Earth onto an object that is within Earth's gravitational field
is 9.81 meters per second squared (m/s^2).

The '''Electromagnetic Interaction''' is the ''Interaction'' that charged particles can exert on the System from the Surroundings. Here we use
'''Coulomb's Constant''' (8.98*10^9 n/m^2 (newtons*meters squared)) to describe the ''Interaction'' between electrically charged particles.

The '''Strong Force''' is the ''Interaction'' between subatomic particles of matter. The strong force binds quarks together in clusters to
make more-familiar subatomic particles, such as protons and neutrons. It also holds together the atomic nucleus.

The '''Weak force''' is the ''Interaction'' that governs the decay of unstable subatomic particles such as mesons. It also initiates the
nuclear fusion reaction that fuels the Sun.

*System & Surroundings.
A '''System''' is a part of the universe that we choose to study. The '''Surroundings''' are everything else that ''surrounds'' the '''System'''.

For further refrence, see: ''Thinking about Physics Thinking'' by Professor Michael Schatz[https://youtu.be/lr_89uaChps?t=1m4s]

I can't submit this for grading on WebAssign yet, so I'll just leave my signature with timestamp here. --[[User:Austinrocket|Austinrocket]] ([[User talk:Austinrocket|talk]]) 23:17, 18 October 2015 (EDT)
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*Charge
*Spin
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Momentum===
<div class="mw-collapsible-content">
* Vectors
* Kinematics
* Predicting Change in one dimension
* Predicting Change in multiple dimensions
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Angular Momentum===
<div class="mw-collapsible-content">
* The Moments of Inertia
* Rotation
* Torque
* Predicting a Change in Rotation
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Energy===
<div class="mw-collapsible-content">
*Predicting Change
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*Potential Energy
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Charged Rod]]
** [[Charged Loop]]
** [[Charged Spherical Shell]]
*Magnetic Field
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*Components
*Steady State
*Non Steady State
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Maxwell's Equations===
<div class="mw-collapsible-content">
*Gauss's Flux Theorem
**Electric Fields
**Magnetic Fields
*Faraday's Law
*Ampere-Maxwell Law
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">
===Radiation===
<div class="mw-collapsible-content">
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]

Magnetic Field

2015-10-19T18:24:45Z

Spennell3:

This page discusses the general properties of magnetic fields

== Magnetic Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|\vec{r}|^2} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. This equation is called the Biot-Savarde law. You may notice that this equation involves a cross product.

Page initiated by --[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:20, 19 October 2015 (EDT)
[[Category: Fields]]

Main Page

2015-10-19T18:21:45Z

Spennell3: /* Fields */

Magnetic Field

2015-10-19T18:20:38Z

Spennell3:

This page discusses the general properties of magnetic fields

== Electric Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|\vec{r}|^2} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. This equation is called the Biot-Savarde law. You may notice that this equation involves a cross product.

Page initiated by --[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 14:20, 19 October 2015 (EDT)
[[Category: Fields]]

Magnetic Field

2015-10-19T18:18:58Z

Spennell3:

This page discusses the general properties of magnetic fields

== Electric Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|\vec{r}|^2} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. You may notice that this equation involves a cross product.

Magnetic Field

2015-10-19T18:18:26Z

Spennell3:

This page discusses the general properties of magnetic fields

== Electric Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|r^2|} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, <math>q</math> is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. You may notice that this equation involves a cross product.

Magnetic Field

2015-10-19T18:17:52Z

Spennell3:

This page discusses the general properties of magnetic fields

== Electric Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math> \vec{B} =\frac{\mu_0}{4\pi} \frac{(q\vec{v} \times \hat{r})}{|r^2|} </math>, where <math> \frac{\mu_0}{4\pi}</math> is a fundamental constant equal to <math> 1 \times 10^-7 T </math>, '''q''' is the charge of the particle, <math> \vec{v}</math> is the velocity of the particle, and <math> \vec{r}</math> is the vector that points from source to observation location. You may notice that this equation involves a cross product.

Magnetic Field

2015-10-19T18:11:24Z

Spennell3:

Magnetic Field

2015-10-19T18:09:10Z

Spennell3:

This page discusses the general properties of magnetic fields

== Electric Field==

Magnetic Field is a [[field]] created by a moving electric charge. It is measured in units of Teslas (T) and has a direction, making it a vector quantity. The magnetic field created by a moving charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The magnetic field obeys superposition, so the net magnetic field at a point in space can be determined by summing all the individual fields present at that location.

== Dependence on frame of reference==

Because the magnetic field relies on the velocity of a particle, it can vary with frame of reference. That is to say, one observer could observe a magnetic field while another does not observe a field due to the relative velocity of the particle. Consider a moving proton, a moving compass, and a stationary compass. The proton and moving compass are moving with identical velocity, so to the compass, the proton appears to be stationary (<math> \vec{v} = 0</math>), so the observed magnetic field is is also 0. The stationary compass, however, observes a certain velocity so a magnetic field is observed.

== Magnetic field due to a single charged particle==

The magnetic field <math> \vec{B}</math> created by a single charged particle is given by the equation <math>{ \vec{B} = \frac{(q\vec{v} \times \hat{r})/|r^2|}}</math>

Magnetic Field

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Spennell3:

Magnetic Field

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Spennell3:

Magnetic Field

2015-10-19T18:06:33Z

Spennell3: Created page with "This page discusses the general properties of magnetic fields == Electric Field== Magnetic Field is a field created by a moving electric charge. It is measured in units..."

Electric Field

2015-10-19T17:49:18Z

Spennell3:

This page discusses the general properties of electric fields

== Electric Field==

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

== Mathematical Concept of a Field==

In mathematics, a field is a value that exists at all points in space. It can be a scalar or a vector. Other examples of fields are [[graviational fields]] and [[magnetic fields]].

== Electric Field and Force==

The force due to an external electric field on a charged particle is given by the equation <math> \vec{F} = q\vec{E}</math> where q is the charge of the observed particle and E is the electric field. The field created by a charged particle exerts no force on itself.

This page pioneered by
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)

Electric Field

2015-10-19T17:46:08Z

Spennell3:

This page discusses the general properties of electric fields

== Electric Field==

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

== Electric Field and Force==

The force due to an external electric field on a charged particle is given by the equation <math> \vec{F} = q\vec{E}</math> where q is the charge of the observed particle and E is the electric field. The field created by a charged particle exerts no force on itself.

This page pioneered by
--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)

Electric Field

2015-10-19T17:44:42Z

Spennell3:

This page discusses the general properties of electric fields

== Electric Field==

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and exerts a force on other charged objects. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

== Electric Field and Force==

The force due to an external electric field on a charged particle is given by the equation <math> \vec{F} = q\vec{E}</math> where q is the charge of the observed particle and E is the electric field. The field created by a charged particle exerts no force on itself.

--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)

Electric Field

2015-10-19T17:43:00Z

Spennell3:

This page discusses the general properties of electric fields

== Electric Field==

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and makes a force on other particles. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

== Electric Field and Force==

The force due to an external electric field on a charged particle is given by the equation <math> \vec{F} = q\vec{E}</math> where q is the charge of the observed particle and E is the electric field.

--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)

Electric Field

2015-10-19T17:42:38Z

Spennell3:

This page discusses the general properties of electric fields

== Electric Field==

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and makes a force on other particles. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

== Electric Field and Force==

The force due to an external electric field on a charged particle is given by the equation <math> vec{F} = qvec{E}</math> where q is the charge of the observed particle and E is the electric field.

--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)

Electric Field

2015-10-19T17:36:59Z

Spennell3: Created page with "Electric Field is a field created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The elect..."

Electric Field is a [[field]] created by an electric charge. It is measured in units of Newtons per Coulomb (N/C) and has a direction, making it a vector quantity. The electric field created by a charge exists at all points in space and makes a force on other particles. The force due to an external electric field on a charged particle is given by the equation '''F = qE''' where q is the charge of the observed particle and E is the electric field. The field can be drawn as an arrow with tail at the observation location pointing in the direction of the field. The Electric field obeys superposition, so the net Electric field at a point in space can be determined by summing all the individual fields present at that location.

--[[User:Spennell3|Spennell3]] ([[User talk:Spennell3|talk]]) 13:36, 19 October 2015 (EDT)