Recent content by SDas
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Stokes Theorem in cylindrical coordinates
Got it! Of course it isn't. I should not have missed that. The sin(φ/4) and the cos(φ/2) should have been sin(4φ) and cos(2φ) to make A be the same at φ=0 and φ=2π. That was the mistake in what I was trying to do.- SDas
- Post #5
- Forum: Calculus and Beyond Homework Help
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Stokes Theorem in cylindrical coordinates
Hi gabbagabbahey, thanks for the welcome. I've been trying to check the conditions for Stoke's theorem to hold. I could not find them in any textbook on electromagnetics. Intuitively, the field A should (i) be bounded, and (ii) have continuous, first order partial derivatives w.r.t. ρ, φ...- SDas
- Post #3
- Forum: Calculus and Beyond Homework Help
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Stokes Theorem in cylindrical coordinates
Homework Statement A vector field A is in cylindrical coordinates is given. A circle S of radius ρ is defined. The line integral \intA∙dl and the surface integral \int∇×A.dS are different. Homework Equations Field: A = ρcos(φ/2)uρ+ρ2 sin(φ/4) uφ+(1+z)uz (1) The Attempt at...- SDas
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- Coordinates Cylindrical Cylindrical coordinates Stokes Stokes theorem Theorem
- Replies: 4
- Forum: Calculus and Beyond Homework Help