Khan Academy: Stokes' Theorem Intuition. Video - 12:12: First of 11 videos on Stoke's Theorem: Back to top. Online Math Lab Home: Feedback
Can someone explain what Stokes' Theorem is measuring? While I can't do it justice, this video done by Khan Academy was invaluable to me.
Green's and Stokes' theorem relationship. Orienting boundary with surface. Orientation and stokes. Practice: Orientations and … 2016-02-19 Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions. Green's theorem and the 2D divergence theorem do this for two dimensions, then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem. 2016-03-02 Stokes' theorem proof part 3.
Video - 12:12: First of 11 videos on Stoke's Theorem: Back to top. Online Math Lab Home: Feedback To define the orientation for Green's theorem, this was sufficient. We simply insisted that you orient the curve $\dlc$ in the counterclockwise fashion. For Stokes' theorem, we cannot just say “counterclockwise,” since the orientation that is counterclockwise depends on the direction from which you are looking. Se hela listan på byjus.com Entender cuándo puedes utilizar el teorema de Stokes.
Green's theorem states that, given a continuously differentiable two-dimensional vector field $\dlvf$, the integral of the “microscopic circulation” of $\dlvf$ over the region $\dlr$ inside a simple closed curve $\dlc$ is equal to the total circulation of $\dlvf Basic use of stokes theorem arises when dealing wth the calculations in the areasof the magnetic field.
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After reviewing the basic idea of Stokes' theorem and how to make sure you have the orientations of the surface and its boundary matched, try your hand at these examples to see Stokes' theorem in action. One important subtlety of Stokes' theorem is orientation. We need to be careful about orientating the surface (which is specified by the normal vector $\vc{n}$) properly with respect to the orientation of the boundary (which is specified by the tangent vector).
Solution. We’ll use Stokes’ Theorem. To do this, we need to think of an oriented surface Swhose (oriented) boundary is C (that is, we need to think of a surface Sand orient it so that the given orientation of Cmatches). Then, Stokes’ Theorem says that Z C F~d~r= ZZ S curlF~dS~. Let’s compute curlF~ rst.
This tutorial explores the intuition behind Stokes' theorem, how it is an extension of Green's theorem to surfaces (as opposed to just regions) and gives some examples using it.
curl (F)·n picks out the curl who's axis of rotation is normal/perpendicular to the surface.
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Intuição do teorema de Stokes. Este é o item selecionado atualmente. Relación entre los teoremas de Green y Stokes. Khan Academy es una organización sin fines de lucro 501(c)(3). ¡Ingresa a Donaciones o Voluntarios hoy mismo!
Green's theorem and the 2D divergence theorem do this for two dimensions, then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem. S is the position vector that defines the slanted plane with respect to the origin. S can be evaluated at any (r, theta) pair to obtain a point on that plane.
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Well if you need to be doing any calculations about magnetic fields, then it is your best friend (via Ampère's law). Otherwise.well, I guess it's as useful as any line integral? "Real life" and "advanced calculus" is always a difficult question
Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Ejemplos del teorema de Stokes Nuestra misión es proporcionar una educación gratuita de clase mundial para cualquier persona en cualquier lugar. Khan Academy … Stokes' theorem and the fundamental theorem of calculus. Następna lekcja. Twierdzenie Ostrogradskiego-Gaussa w 3D (artykuły) Przekaż 1% podatku lub darowiznę Fundacji Edukacja dla Przyszłości, która zajmuje się tłumaczeniem Khan Academy na język polski, Agora que exploramos o Teorema de Stokes, quero falar sobre situações onde podemos utilizá-lo. Verá que é um teorema bem geral.
2021년 1월 14일 www.khanacademy.org/math/multivariable-calculus/greens-theorem-and-stokes- theorem Green's, Stokes', and the divergence theorems
This only works if you can express the original vector field as the curl of some other vector field. Make sure the orientation of the surface's boundary lines up with the orientation of the surface itself. Are you a student or a teacher?
a visual representation of stoke's theorem If you like video explainations, the MIT opencourseware and Khan academy may be of help.