Recent content by hectoryx
-
H
Solving the Laplace Equation for a Capacitor Setup
chould anyone help me please? Really thanks!- hectoryx
- Post #2
- Forum: Advanced Physics Homework Help
-
H
Solving the Laplace Equation for a Capacitor Setup
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...- hectoryx
- Thread
- Capacitor Laplace Laplace equation
- Replies: 1
- Forum: Advanced Physics Homework Help
-
H
How to Calculate V3 or Q3 in a Capacitance Network?
Thanks for your reply. However, in the equivalent circuit of the capacitor network, the voltage of conductor 3 to the reference ground can be caculated...so...- hectoryx
- Post #3
- Forum: Advanced Physics Homework Help
-
H
How to Calculate V3 or Q3 in a Capacitance Network?
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...- hectoryx
- Thread
- Capacitance Network Potential
- Replies: 3
- Forum: Advanced Physics Homework Help
-
H
New Problem about solving a Laplace Equation in cylinder coordinates
Thanks for your reply! 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...- hectoryx
- Post #6
- Forum: Advanced Physics Homework Help
-
H
New Problem about solving a Laplace Equation in cylinder coordinates
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...- hectoryx
- Post #4
- Forum: Advanced Physics Homework Help
-
H
New Problem about solving a Laplace Equation in cylinder coordinates
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...- hectoryx
- Thread
- Coordinates Cylinder Laplace Laplace equation
- Replies: 6
- Forum: Advanced Physics Homework Help
-
H
About Separation of Variables for the Laplace Equation
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...- hectoryx
- Post #3
- Forum: Advanced Physics Homework Help
-
H
About Separation of Variables for the Laplace Equation
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...- hectoryx
- Thread
- Laplace Laplace equation Separation Separation of variables Variables
- Replies: 3
- Forum: Advanced Physics Homework Help
-
H
Calculating Potential Distribution of a Dielectric Cylinder in Electric Field
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...- hectoryx
- Post #7
- Forum: Advanced Physics Homework Help
-
H
Calculating Potential Distribution of a Dielectric Cylinder in Electric Field
Thanks for your reply. 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...- hectoryx
- Post #5
- Forum: Advanced Physics Homework Help
-
H
Calculating Potential Distribution of a Dielectric Cylinder in Electric Field
Hi gabbagabbahey, thanks for your advices, I have already changed my post.- hectoryx
- Post #3
- Forum: Advanced Physics Homework Help
-
H
Calculating Potential Distribution of a Dielectric Cylinder in Electric Field
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...- hectoryx
- Thread
- Cylinder Dielectric Distribution Electric Electric field Field Potential
- Replies: 7
- Forum: Advanced Physics Homework Help