Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Physics
Classical Physics
Electromagnetism
Finite Cylinder in an electric field
Reply to thread
Message
[QUOTE="TOKAMAK, post: 1033287, member: 14105"] Hi, I was just wondering if anyone could might know where maybe the following situation has been worked out: A finite cylinder of length L sticks out of a flat, horizontal plane. The plane and the finite cylinder are both grounded, and are placed into a previously uniform electric field, E = E0 (in the z-direction) Anyway, I attempted the problem in the usual way, separation of variables. Basically, I got as far as V ~ (J-zero(kr))*(sinh(kz)) (where the integral should be over all k>0). I thought maybe I should first concentrate on one section at a time, like get V below z=L, then make sure this expression matches V from above z=L, but that doesn't really get me anywhere, since at most V from above would be a linear combination of sinh and cosh, which is just e^kz. I can't get any useful coefficients (the f(k)'s, they are continuous of course) from boundary conditions, at least that I can see. Is this problem analytically possible? If not, I'll probably just try to use the greens' function for a spherical boss on a grounded plane; I just wanted to see for myself how the the E-field deforms around a grounded object. I've seen the drawings in text-books, and I know what should happen, but I kinda wanted to look at a simple object and see the exact expression for the E-field or the equipotentials [/QUOTE]
Insert quotes…
Post reply
Forums
Physics
Classical Physics
Electromagnetism
Finite Cylinder in an electric field
Back
Top