You know two things about a vector field (mathbf{F}) : (i) (mathbf{F}) has a vector potential (mathbf{A})

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You know two things about a vector field \(\mathbf{F}\) :
(i) \(\mathbf{F}\) has a vector potential \(\mathbf{A}\) (but \(\mathbf{A}\) is unknown).
(ii) The circulation of \(\mathbf{A}\) around the unit circle (oriented counterclockwise) is 25 .
Determine the flux of \(\mathbf{F}\) through the surface \(\mathcal{S}\) in Figure 22, oriented with an upward-pointing normal.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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