Path Independence: Difference between revisions

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


What are the mathematical equations that allow us to model this topic.  For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.
What are the mathematical equations that allow us to model this topic.  For example <math>\deltaV = -\left(E_x * \deltax + E_y * \deltay + E_z * \deltaz \right) </math> where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.


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

Revision as of 12:10, 30 November 2015

by Elisa Mercando

Path Independence

The potential difference between two locations does not depend on the path taken between the locations chosen.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ \deltaV = -\left(E_x * \deltax + E_y * \deltay + E_z * \deltaz \right) }[/math] where E is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.

A Computational Model

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

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