Curl Definition and 359 Threads

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

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...

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...

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

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

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...

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

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)

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.