Potential DIfference Path Independence, claimed by Aditya Mohile

CLAIMED BY KYLE JAWORSKI (FALL 2017)

The Main Idea

The voltage between 2 points does not depend on the path taken to travel from one point to another.

[math]\displaystyle{ \Delta V_{AB}= - \int^B_A \vec{E} \cdot d\vec{l} }[/math]

The potential difference from A to B is found by integrating the electric field with respect to the distance between the two points.

[math]\displaystyle{ \Delta V_{AB}= {E} \int^B_A d\vec{l} }[/math]

[math]\displaystyle{ \Delta V_{AB} = {E}Delta S }[/math]