Curl Definition and 359 Threads

  1. H

    A question about path independence and curl of a vector field

    If the curl of a vector field is zero, then we can that the vector field is path independent. But there are cases where this is not true, I was wondering how? Whats the explanation for this? Thanks in advance for any help. - harsh
  2. G

    Solving Constants a & b for Electric Field E - Curl & Divergence

    Hi All, Given electric field E=c(2bxy,x^2+ay^2), I need to determine the constants a and b such that CURL E = 0 and DIV E = 0. I'm also given a path from (0,0) , (1,0) and (1,1). Ok so the curl = 0+0+cx(2-b) = 0 and the divergence = 2cy(b+a) = 0 How do I solve for a and b at this...
  3. G

    What is the relationship between angular speed and curl in different systems?

    Hi, I'm looking for a clear descripion of what a curl is. From what I understand, the curl of a point in flowing water can conceptually be measured by placing the center of a paddle-wheel at the point. The vector direction is then given by the rotation axis when it spins the fastest and...
  4. P

    Understanding Divergence and Curl on a 3D Surface

    Can anyone please explain what Diverange and Curl actually physically represent on a 3d surface, i know what the operators are, but what do they actually mean? Thanks all
  5. B

    Explaining the Physical Significance of Divergence and Curl in Vector Analysis

    Can anyone explain to me the concept of div and curl? Of course, I know how to determine the div and curl of a vector, but I don't really understand their physical significance. Any help is greatly appreciated. --Brian
  6. W

    What is the relationship between curl and surface integrals in vector calculus?

    Curl and Surface Integral (help!) Hello people! I've been working on this problem, but I can't find how differentials of V on the left side of the equation appear. *** Show, by expansion of the surface integral, that (see attached image). Hint: choose the volume to be a differential...
  7. B

    Operation that will undo a curl operation?

    Does anyone know if there is an operation that will undo a curl operation?
  8. J

    How to Find Vector Magnetic Potential A from Magnetic Flux Density B?

    magnetic flux density B for an infinitely long cylindrical conductor of radius b is know: inside: B = (Mu*R*I)/(2*pi*b^2), R<b outside: B = (Mu*I)/(2*pi*R^2), R>=b I need to determine the vector magnetic potential A using only the relation B = curl A (del X A)
  9. M

    Use of curl of gradient of scalar

    I'm wondering if physics ever uses a differential equation of the form of a curl of a gradient of a scalar function. Or is this too trivial? Thanks.
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