Let F = curl(A). Which of the following are related by Stokes' Theorem? (a) The circulation of A and flux of F (b) The circulation of F and flux of A

Let F = curl(A). Which of the following are related by Stokes' Theorem? (a) The circulation of A and flux of F (b) The circulation of F and flux of A
You can still ask an expert for help

Want to know more about Green's, Stokes', and the divergence theorem?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

stuth1
Step 1
Given- F=curl(A)
To Find- The stokes theorem regrading the above expression.
Concept Used- Stokes’ theorem says we can calculate the flux of curl F across surface S by knowing information only about the values of F along the boundary of S. Conversely, we can calculate the line integral of vector field F along the boundary of surface S by translating to a double integral of the curl of F over S.
Step 2
Explanation- Rewrite the given expression,
F=curl(A)
With the stokes theorem, we can calculate the line integral of vector field F along the boundary of surface S by translating to a double integral of the curl of F over S.
So, the statement F=curl(A) represent the the circulation of A and flux of F, which is option A.
Answer- Hence, the statement F=curl(A) represent the the circulation of A and flux of F, which is option A.