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	<updated>2026-04-27T03:27:22Z</updated>
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		<id>http://www.physicsbook.gatech.edu/index.php?title=Hermann_von_Helmholtz&amp;diff=13571</id>
		<title>Hermann von Helmholtz</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Hermann_von_Helmholtz&amp;diff=13571"/>
		<updated>2015-12-05T05:05:55Z</updated>

		<summary type="html">&lt;p&gt;MackenzieBolton: Created page with &amp;quot;== Life ==  Hermann Ludwig Ferdinand von Helmholtz was a German physician and physicist who was born August 31, 1821 and died September 8, 1894. He was the eldest of four sibl...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Life ==&lt;br /&gt;
&lt;br /&gt;
Hermann Ludwig Ferdinand von Helmholtz was a German physician and physicist who was born August 31, 1821 and died September 8, 1894. He was the eldest of four siblings and had many health problems so he was confined to his home for the first seven years of his life.  His father was a philosophy and literature teacher and his mother was a descendent of William Penn, the founder of Pennsylvania. His father introduced him to the philosophy of Fitche and Kant and introduced him &amp;quot;to approach to nature that flowed from their philosophical insights.&amp;quot;  Many thought that scientific conclusions about nature could be deduced from philosophical ideas and much of Helmholtz&#039;s work was devoted to refuting this idea.&lt;br /&gt;
&lt;br /&gt;
His work is influenced by the philosophers of Fichte and Kant.  His father wanted him to study medicine, but he wanted to study natural science, so he ended up going to the Charité because financial support was provided to the medical students on the condition that he serves for eight years as an army doctor.  When he went to his army assignment his duties were few so he set up a makeshift laboratory in the barracks to do experiments.  &lt;br /&gt;
&lt;br /&gt;
HE married Olga von Velten.  He was released from his military duties early because of his scientific talents and in 1848 he was appointed assistant at the Anatomical Museum and lecturer at the Academy of Fine Arts in Berlin, and the next year he moved to become an assistant professor and director at the Physiological Institute, and in 1855 he became a professor of anatomy and physiology.  In 1871 he became a professor of physics at the University of Berlin, and in 1888 he was appointed as the first director of the Physico-Technical Institute and that was his final job.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== His Work and Discoveries ==&lt;br /&gt;
&lt;br /&gt;
Most of Helmholtz&#039;s work is rooted in his rejection of Nature Philosophy.  &amp;quot;Nature philosophy derived from Kant, who in the 1780s had suggested that the concepts of time, space and causation were not products of sense experience but mental attributes by which is was possible to perceive the world...Futhermore, all science could and should be reduced to the laws of classical mechanics, which, in his view, encompassed matter, force, and, later, energy, as the whole of reality&amp;quot;&lt;br /&gt;
&lt;br /&gt;
He began his doctoral thesis in 1842 on the connection between nerve fibres and nerve cells, which led him to later study animal heat.  He supposed that if vital heat &amp;quot;were not the sum of all the heats of the substances involved in chemical reactions within the organic body, there must be some other source of heat not subject to physical laws...Hence, Helmholtz concluded, vital heat must be the product of mechanical forces within the organism.  From there he went on to generalize his results to state that all heat was related to ordinary forces and, finally, to state that force itself could never be destroyed.  He detailed all his findings in his paper &amp;quot;On the Conservation of Force.&amp;quot;  For physical sciences it was one of the first statements on the principle of the CONSERVATION OF ENERGY.  He also wrote a book called the &amp;quot;Handbook of Physiological Optics.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
He spent some of his last years unsuccessfully trying to reduce electrodynamics to a minimum set of mathematical principles.  Even though he couldn&#039;t formulate electrodynamics, he was successful in deducing almost all electromagnetic effects from the ether&#039;s supposed properties.  Later on though the special and general theories of relativity that Helmholtz had proposed were destroyed by Einstein by eliminating the ether.  Helmholtz also worked on wave motion and in his later years he studied meteorology.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Equations ==&lt;br /&gt;
The Helmholtz energy is defined as:&lt;br /&gt;
&lt;br /&gt;
A = U - TS&lt;br /&gt;
     A=Helmholtz free energy&lt;br /&gt;
     U=internal energy of the system&lt;br /&gt;
     T=absolute temperature&lt;br /&gt;
     S=entropy of the system&lt;br /&gt;
&lt;br /&gt;
== Sources ==&lt;br /&gt;
&lt;br /&gt;
http://www.britannica.com/biography/Hermann-von-Helmholtz&lt;br /&gt;
https://en.wikipedia.org/wiki/Hermann_von_Helmholtz&lt;/div&gt;</summary>
		<author><name>MackenzieBolton</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=13261</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=13261"/>
		<updated>2015-12-05T03:33:40Z</updated>

		<summary type="html">&lt;p&gt;MackenzieBolton: /* Notable Scientists */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
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&#039;t clear, please consider revising it!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#Copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
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).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* 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]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
&lt;br /&gt;
== Organizing Categories ==&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
**[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]&lt;br /&gt;
*[[Determinism]]&lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Free Body Diagram]]&lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Conservation of Charge]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
*[[Center of Mass]]&lt;br /&gt;
*[[Reaction Time]]&lt;br /&gt;
*[[Time Dilation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Modeling with VPython===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[VPython]]&lt;br /&gt;
*[[VPython basics]]&lt;br /&gt;
*[[VPython Common Errors and Troubleshooting]]&lt;br /&gt;
*[[VPython Functions]]&lt;br /&gt;
*[[VPython Lists]]&lt;br /&gt;
*[[VPython Multithreading]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Einstein&#039;s Theory of General Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
*[[Elementary Particles and Particle Physics Theory]]&lt;br /&gt;
*[[Law of Gravitation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Alexei Alexeyevich Abrikosov]]&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&lt;br /&gt;
*[[Johannes Diderik van der Waals]]&lt;br /&gt;
*[[Louis de Broglie]]&lt;br /&gt;
*[[Aristotle]]&lt;br /&gt;
*[[Émilie du Châtelet]]&lt;br /&gt;
*[[Blaise Pascal]]&lt;br /&gt;
*[[Benjamin Franklin]]&lt;br /&gt;
*[[James Chadwick]]&lt;br /&gt;
*[[Henry Cavendish]]&lt;br /&gt;
*[[Thomas Young]]&lt;br /&gt;
*[[James Prescott Joule]]&lt;br /&gt;
*[[John Bardeen]]&lt;br /&gt;
*[[Leo Baekeland]]&lt;br /&gt;
*[[Alhazen]]&lt;br /&gt;
*[[Willebrod Snell]]&lt;br /&gt;
*[[Fritz Walther Meissner]]&lt;br /&gt;
*[[Johannes Kepler]]&lt;br /&gt;
*[[Johann Wilhelm Ritter]]&lt;br /&gt;
*[[Philipp Lenard]]&lt;br /&gt;
*[[Robert A. Millikan]]&lt;br /&gt;
*[[Joseph Louis Gay-Lussac]]&lt;br /&gt;
*[[Guglielmo Marconi]]&lt;br /&gt;
*[[William Lawrence Bragg]]&lt;br /&gt;
*[[Robert Goddard]]&lt;br /&gt;
*[[Léon Foucault]]&lt;br /&gt;
*[[Henri Poincaré]]&lt;br /&gt;
*[[Steven Weinberg]]&lt;br /&gt;
*[[Arthur Compton]]&lt;br /&gt;
*[[Pythagoras of Samos]]&lt;br /&gt;
*[[Subrahmanyan Chandrasekhar]]&lt;br /&gt;
*[[Wilhelm Eduard Weber]]&lt;br /&gt;
*[[Edmond Becquerel]]&lt;br /&gt;
*[[Joseph Rotblat]]&lt;br /&gt;
*[[Carl David Anderson]]&lt;br /&gt;
*[[Hermann von Helmholtz]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Inertia]]&lt;br /&gt;
*[[Non-Newtonian Fluids]]&lt;br /&gt;
*[[Color]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Derivation of the Momentum Principle]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Projectile Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Analytical Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&lt;br /&gt;
* [[Momentum at High Speeds]]&lt;br /&gt;
* [[Change in Momentum in Time for Curving Motion]]&lt;br /&gt;
* [[Momentum with respect to external Forces]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Angular Impulse &amp;amp; Torque vs Energy]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Angular Momentum of Multiparticle Systems]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&lt;br /&gt;
* [[Gyroscopes]]&lt;br /&gt;
* [[Angular Momentum Compared to Linear Momentum]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
**[[Potential Energy for a Magnetic Dipole]]&lt;br /&gt;
**[[Potential Energy of a Multiparticle System]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
**[[Work Done By A Nonconstant Force]]&lt;br /&gt;
*[[Work and Energy for an Extended System]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power (Mechanical)]]&lt;br /&gt;
*[[Transformation of Energy]]&lt;br /&gt;
&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
**[[Energy graphs and the Bohr model]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[The Maxwell-Boltzmann Distribution]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
**[[Spontaneous Photon Emission]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]] &lt;br /&gt;
Collisions are events that happen very frequently in our day-to-day world. In the realm of Physics, a collision is defined as any sort of process in which before and after a short time interval there is little interaction, but during that short time interval there are large interactions. When looking at collisions, it is first important to understand two very important principles: the Momentum Principle and the Energy Principle. Both principles serve use when talking of collisions because they provide a way in which to analyze these collisions. Collisions themselves can be categorized into 3 main different types: elastic collisions, inelastic collisions, maximally inelastic collisions. All 3 collisions will get touched on in more detail further on. &lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
A collision is deemed &amp;quot;elastic&amp;quot; when the internal energy of the objects in the system does not change (in other words, change in internal energy equals 0). Because in an elastic collision no kinetic energy is converted over to internal energy, in any elastic collision Kfinal always equals Kinitial.&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
A collision is said to be &amp;quot;inelastic&amp;quot; when it is not elastic; therefore, an inelastic collision is an interaction in which some change in internal energy occurs between the colliding objects (in other words, change in internal energy does not equal 0). Examples of such changes that occur between colliding objects include, but are not limited to, things like they get hot, or they vibrate/rotate, or they deform. Because some of the kinetic energy is converted to internal energy during an inelastic collision, Kfinal does not equal Kinitial.&lt;br /&gt;
*[[Maximally Inelastic Collisions]]&lt;br /&gt;
Maximally inelastic collisions, also known as &amp;quot;sticking collisions&amp;quot;, are the most extreme kinds of inelastic collisions. Just as its secondary name implies, a maximally inelastic collision is one in which the colliding objects stick together creating maximum dissipation. This does &lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Scattering: Collisions in 2D and 3D]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
*[[Coefficient of Restitution]]&lt;br /&gt;
*[[testing123]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
** [[Charge Density]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[Electric Potential]] &lt;br /&gt;
**[[Potential Difference Path Independence]]&lt;br /&gt;
**[[Potential Difference in a Uniform Field]]&lt;br /&gt;
**[[Potential Difference of point charge in a non-Uniform Field]]&lt;br /&gt;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
**[[Polarization of an Atom]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
***[[Stern-Gerlach Experiment]]&lt;br /&gt;
**[[Magnetic Torque]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Earth&#039;s Magnetic Field]]&lt;br /&gt;
**[[Atomic Structure of Magnets]]&lt;br /&gt;
*[[Combining Electric and Magnetic Forces]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Resistivity]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[AC vs DC]]&lt;br /&gt;
*[[Charge in a RC Circuit]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[Current in a RL Circuit]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers (Circuits)]]&lt;br /&gt;
*[[Resistors and Conductivity]]&lt;br /&gt;
*[[Semiconductor Devices]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Maxwell&#039;s Equations===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
***[[Examples of Flux Through Surfaces and Objects]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers (Physics)]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Lenz&#039;s Rule]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
**[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
**[[Poynting Vector]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Effects of Radiation on Matter]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&lt;br /&gt;
*[[Light Refraction: Bending of light]]&lt;br /&gt;
*[[Cherenkov Radiation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Bragg&#039;s Law]]&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
*[[Standing waves]]&lt;br /&gt;
*[[Gravitational waves]]&lt;br /&gt;
*[[Plasma waves]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[Electromagnetic Waves]]&lt;br /&gt;
*[[Electromagnetic Spectrum]]&lt;br /&gt;
*[[Color Light Wave]]&lt;br /&gt;
*[[Mechanical Waves]]&lt;br /&gt;
*[[Pendulum Motion]]&lt;br /&gt;
*[[Transverse and Longitudinal Waves]]&lt;br /&gt;
*[[Planck&#039;s Relation]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Real Life Applications of Electromagnetic Principles===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Junkyard Cranes]]&lt;br /&gt;
*[[Maglev Trains]]&lt;br /&gt;
*[[Spark Plugs]]&lt;br /&gt;
*[[Metal Detectors]]&lt;br /&gt;
*[[Speakers]]&lt;br /&gt;
*[[Radios]]&lt;br /&gt;
*[[Ampullae of Lorenzini]]&lt;br /&gt;
*[[Electrocytes]]&lt;br /&gt;
*[[Generator]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optics===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mirrors]]&lt;br /&gt;
*[[Refraction]]&lt;br /&gt;
*[[Quantum Properties of Light]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* A page for review of [[Vectors]] and vector operations&lt;/div&gt;</summary>
		<author><name>MackenzieBolton</name></author>
	</entry>
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