Capacitance of Right Angle plates

AI Thread Summary
To determine the capacitance of two plates forming a right angle, computational methods can be employed, including the method of moments. The discussion references a paper by Barrachina that validates its model with Xiang's work, which is behind a paywall. For practical examples, "Static and Dynamic Electricity" by Smythe offers 2D solved cases using Schwartz transformation. Additionally, texts by Harrington and Walter Gibson provide further insights into capacitance calculations using the method of moments. Understanding these methods can facilitate accurate capacitance modeling for right-angle plate configurations.
compton1
Messages
2
Reaction score
0
I have a question:

I have two plates that form a right angle. How would I go about finding the Capacitance of the two plates?
 
Physics news on Phys.org
I read that paper before. I really want to read Xiang's paper that the Barrachina paper uses to validate their model with. However, Xiang's paper costs $22 to read.
 
Hello compton1-
Smythe "Static and Dynamic Electricity" 3rd edition chapter 4 has lots of 2D examples solved by the Schwartz transformation.
Bob S
 
Another computational approach is the method of moments. Capacitance examples are given in both method of moment texts by Harrington and Walter Gibson.
 
Susskind (in The Theoretical Minimum, volume 1, pages 203-205) writes the Lagrangian for the magnetic field as ##L=\frac m 2(\dot x^2+\dot y^2 + \dot z^2)+ \frac e c (\dot x A_x +\dot y A_y +\dot z A_z)## and then calculates ##\dot p_x =ma_x + \frac e c \frac d {dt} A_x=ma_x + \frac e c(\frac {\partial A_x} {\partial x}\dot x + \frac {\partial A_x} {\partial y}\dot y + \frac {\partial A_x} {\partial z}\dot z)##. I have problems with the last step. I might have written ##\frac {dA_x} {dt}...
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'
I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
Back
Top