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Check the Stokes' theorem using the function [tex]\vec v =ay\hat x + bx\hat y[/tex]

(a and b are constants) for the circular path of radius R, centered at the origin of the xy plane.

As usual Stokes' theorem suggests:

[tex]\int_s {(\nabla\times \vec v).d\vec a = \oint_p\vec v.d\vec r [/tex]

How do you compute:

1. the area element [tex]d\vec a[/tex]

2. the line integral

For the circular path in this case.

Hints will do!

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# Homework Help: Stokes' theorem over a circular path

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