Potential Difference Path Independence, claimed by Aditya Mohile: Difference between revisions

From Physics Book
Jump to navigation Jump to search
No edit summary
No edit summary
Line 3: Line 3:
==The Main Idea==
==The Main Idea==


The potential difference between two points does not depend on the path taken to get from one point to another.
The potential difference between two points does not depend on the path taken to get from one point to another because the difference between the locations of the two points remain the same regardless of the path taken to get from one to another.


===A Mathematical Model===
===A Mathematical Model===
:<math>\Delta V_{BA} = \int_{A}^{B} \vec{E} \cdot d\vec{l}</math>
:<math>\Delta V_{BA} = \int_{A}^{B} \vec{E} \cdot d\vec{l} = -(E_{x}\Delta x + E_{y}\Delta y + E_{z}\Delta z)</math>
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===
===A Computational Model===

Revision as of 17:52, 16 April 2016

CLAIMED BY ADITYA MOHILE Potential difference is a scalar quantity that measures the difference of electric potential between 2 points. The path taken from one point to another does not affect the potential difference therefore potential difference is said to be path independent.

The Main Idea

The potential difference between two points does not depend on the path taken to get from one point to another because the difference between the locations of the two points remain the same regardless of the path taken to get from one to another.

A Mathematical Model

[math]\displaystyle{ \Delta V_{BA} = \int_{A}^{B} \vec{E} \cdot d\vec{l} = -(E_{x}\Delta x + E_{y}\Delta y + E_{z}\Delta z) }[/math]


A Computational Model

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

Examples

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

Simple

Middling

Difficult

Connectedness

  1. How is this topic connected to something that you are interested in?
  2. How is it connected to your major?
  3. 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

Retrieved from "http://www.physicsbook.gatech.edu/index.php?title=Potential_Difference_Path_Independence,_claimed_by_Aditya_Mohile&oldid=21867"