- #1
bowlbase
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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.