Homework Statement
The capacitor is assumed to consist of two parallel circular disc electrodes of radius R. The electrodes are of infinite small thickness, placed a distance 2H apart, and are equally and oppositely charged to potentials +U and -U. A metal cylinder is placed near the two...
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However, in the equivalent circuit of the capacitor network, the voltage of conductor 3 to the reference ground can be caculated...so...
Homework Statement
A capacitance matrix represents the charge coupling within a group of conductors — that is, the relationship between charges and voltages for the conductors. Given the three conductors shown in the following link, with the outside boundary taken as a reference...
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I am sorry for the mistake. However, there is nothing wrong with my equation (8).
As you said, the \[A(\lambda )\] should be
\[A(\lambda ) = \frac{V}{\pi }\frac{1}{{\sinh (H\lambda )}}\frac{{\sin (\lambda a)}}{\lambda }\]
so, equation (8) can be
\[\phi...
Hi,Thanks for your reply.
Your help is really important for me!
Actually, I calculated the A(\lambda) and compared it to the A(\lambda) in the paper.
Because $\phi (\rho ,H) = V,{\rm{ 0}} \le \rho \le a and the special integral
\[\int_0^\infty {\frac{{\sin (\lambda a)}}{\lambda...
Homework Statement
The capacitor is assumed to consist of two circular disc electrodes of radius \alpha . The electrodes are of infinitesimal thickness, placed a distance 2L
apart, and are equally and oppositely charged to potentials +V and -V. To solve the potential distribution in and...
Wo, Thanks for your reply so soon!
I understood your means.
About the orthogonality condition, actually, there is one of the charactrestics of Bessel function, isn't it?
we have:
\int _0^{\alpha }J_0\left(\frac{P_mr}{\alpha }\right)J_0\left(\frac{P_nr}{\alpha }\right)rdr=0 if...
Homework Statement
This is a try for the solution of Laplace Equation. We have to calculate the potential distribution in a cylinder coordinate. However, there is a step really bring us trouble. Please go to the detail. You can either read it in the related URL, or in my PDF attachment...
Thanks for your reply. I really appreciate your help.It is really important for me!
New question is coming. The dielectric cylinder remains unchanged. However, it is not placed in free space, but stand with a certain distance (h) high on the Earth ground.
Besides, the field source is not point...
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I change the equation to a new one and post on the following URL.
http://i1021.photobucket.com/albums/af335/hectoryx/11113.jpg
http://i1021.photobucket.com/albums/af335/hectoryx/11113.jpg"
Actually, I find an oversight on the boundary conditions that on z=0 and...
How to calculation the potential distribution for a dielectric cylinder placed in electric field of point charge?
The height of the dielectric cylinder is H, while its section radius is R. The dielectric constant of the cylinder is ε1...