# Converting a Vector Field from Cartesian to Cylindrical Coordinates

by jayz
Tags: cartesian, converting, coordinates, cylindrical, field, vector
 P: 1 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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