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Level 3
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.

Illustration Curl Integral Theorem

Curl Integral Theorem

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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 \(A\): \[ \int_{A} (\nabla \times \boldsymbol{F}) \cdot \text{d}\boldsymbol{a} ~=~ \oint_{L} \boldsymbol{F} \cdot \text{d}\boldsymbol{l} \]

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  • 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 .