Skip to main content
  1. Home
  2. Illustrations
  3. #22

Illustration Curl Integral Theorem

Stokes-Integraltheorem
Download

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

This illustration is free to use with indication of the copyright: universaldenker.org

The Curl Integral Theorem combines the rotation \( \nabla \times \boldsymbol{F} \) of a vector field \(\boldsymbol{F}\) within a surface \(A\) with the line integral of the vector field along the edge \(L\) of the considered surface \(A\): \[ \int_{A} (\nabla \times \boldsymbol{F}) \cdot \text{d}\boldsymbol{a} ~=~ \oint_{L} \boldsymbol{F} \cdot \text{d}\boldsymbol{l} \]

Details about the illustration

This content is also available in other languages:
Deutsch English
  • License: CC BY 4.0This illustration may be used with indication of the copyright!
  • Copyright: © 2020
  • This illustration was uploaded by FufaeV on .
  • This illustration was updated by FufaeV on .

Give Feedback

Hey, I'm Alexander FufaeV, the physicist and writer here. It is very important to me that you leave this website satisfied. But since I don't own a crystal ball, I'm dependent on your feedback. So I can correct mistakes and improve this content.

How satisfied are you?