1 / 3

2. Vector Calculus Chapter Summary

2. Vector Calculus Chapter Summary. • The grad, div, and curl in Cartesian coordinates are. • The coordinate-independent definitions of grad, div, and curl are.

reece-bruce
Télécharger la présentation

2. Vector Calculus Chapter Summary

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2. Vector Calculus Chapter Summary • The grad, div, and curl in Cartesian coordinates are G L Pollack and D R Stump Electromagnetism

  2. • The coordinate-independent definitions of grad, div, and curl are §In the second equation, dV is a small volume and the limit means dV shrinks to a point. The integral is the flux of F outward through the boundary of dV. The divergence is a scalar. § In the third equation, dA is a small surface area which shrinks to a point. The integral is the line integral around the boundary of dA. The curl is a vector, so it is implied by the equation that the right-hand side is the component of F normal to the surface.) G L Pollack and D R Stump Electromagnetism

  3. • The grad, div, and curl in cylindrical or spherical coordinates are not simple generalizations of the Cartesian equations, because of scale factors. The formulas for these operators are in Tables 2.3 and 2.4. • Two important integral identities are G L Pollack and D R Stump Electromagnetism

More Related