Path Independence of Electric Potential: Difference between revisions

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==The Main Idea==
==The Main Idea==


State, in your own words, the main idea for this topic
Potential energy is only depended on the final state and initial state; it does not depend on the path that it has been taken. Likewise, the potential difference also does not depend on the path because the change of state remain the same wherever it takes the path. So, to make the calculation easy to find the potential difference, it is necessary to choose the path as easiest as possible. For this page, we will tackle on the subject of how the potential difference comes out depended on the path.
Electric Field of Capacitor


===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.
The potential difference is always independent of the path taken between two locations. For a round-trip path, the potential difference is zero.


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

Revision as of 20:00, 1 December 2015

The Main Idea

Potential energy is only depended on the final state and initial state; it does not depend on the path that it has been taken. Likewise, the potential difference also does not depend on the path because the change of state remain the same wherever it takes the path. So, to make the calculation easy to find the potential difference, it is necessary to choose the path as easiest as possible. For this page, we will tackle on the subject of how the potential difference comes out depended on the path.

A Mathematical Model

The potential difference is always independent of the path taken between two locations. For a round-trip path, the potential difference is zero.

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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