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## Homework Statement

Consider two “circulating” electric field configurations. Expressed in polar coordinates

(s,φ,z) they are: (these expressions are not dimensionally correct)

1. E = (0,s,0)

2. E = (0,1/s,0)

a. Calculate ∇×E for both configurations.

b. Note that ∫E⋅dl≠ 0 in either case. Explain the answer to part a in light of this fact.

c. Is either configuration a valid electrostatic field? Why or why not?

## Homework Equations

Curl in cylindrical:

just the φ since the rest are 0

∇×V=[tex]\frac {\partial E_s}{\partial x} - \frac {\partial E_z}{\partial s}[/tex]

## The Attempt at a Solution

∇×V=[tex]\frac {\partial E_s}{\partial x} - \frac {\partial E_z}{\partial s}[/tex]

I believe these should be zero for both since φ is not a part of either of these.

So the curl is zero but ∫E⋅dl≠ 0. I just don't really understand what this means. I understand that as it pertains to Stoke's Theorem it does not jive but further than that I'm at a loss.