Question: You know two things about a vector field F: (i) F has a vector potential A (but A is unknown). (ii) The circulation of A

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

Figure 2 Surface S whose boundary is the unit circle.

Unit circle

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