(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have a rather complicated vector field given in cartesian coordinates that I need to evaluate the line integral of over a unit square. I know to use Stoke's Theorem to do this, and I suspect that the integral would be greatly simplified if it were in cylindrical coordinates, but I am having trouble with the conversion.

V(x,y) = Vx*ex+Vy*ey

Vx = sqrt(x/(x^2+y^2)

Vy = y/(sqrt(x^2+y^2))

2. Relevant equations

x = rcos(theta)

y = rsin(theta)

r = sqrt(x^2+y^2)

3. The attempt at a solution

I converted Vx to sqrt(rcos(theta)/r^2

and Vy to rsin(theta)/r

But I'm not sure how to relate Vx and Vy to Vr and Vtheta so that I can take the curl.

Any help would be appreciated! Thanks!

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# Converting a Vector Field from Cartesian to Cylindrical Coordinates

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