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13 Nov 2019
(i) (i) Find curl F=VÃF Stokes' Theorem describes how to find the circulation of F around a boundary by taking the integral of curl F .n where n is a unit normal vector to the surface of integration, enclosed by the boundary loop. Describe the region in the xy-plane enclosed by the unit circle, and state its upward unit normal vector. (ii) Use Stokes' Theorem and take an appropriate double integral/surface integral to find the counterclockwise circulation of F around the unit circle in the plane.
(i) (i) Find curl F=VÃF Stokes' Theorem describes how to find the circulation of F around a boundary by taking the integral of curl F .n where n is a unit normal vector to the surface of integration, enclosed by the boundary loop. Describe the region in the xy-plane enclosed by the unit circle, and state its upward unit normal vector. (ii) Use Stokes' Theorem and take an appropriate double integral/surface integral to find the counterclockwise circulation of F around the unit circle in the plane.
Reid WolffLv2
6 Mar 2019