Physics – Mathematical Physics
Scientific paper
2009-09-21
PIER 97, pp 357-372, 2009
Physics
Mathematical Physics
15 pages, 3 figures
Scientific paper
10.2528/PIER09092503
The capacitance of the circular parallel plate capacitor is calculated by expanding the solution to the Love integral equation into a Fourier cosine series. Previously, this kind of expansion has been carried out numerically, resulting in accuracy problems at small plate separations. We show that this bottleneck can be alleviated, by calculating all expansion integrals analytically in terms of the Sine and Cosine integrals. Hence, we can, in the approximation of the kernel, use considerably larger matrices, resulting in improved numerical accuracy for the capacitance. In order to improve the accuracy at the smallest separations, we develop a heuristic extrapolation scheme that takes into account the convergence properties of the algorithm. Our results are compared with other numerical results from the literature and with the Kirchhoff result. Error estimates are presented, from which we conclude that our results is a substantial improvement compared with earlier numerical results.
Jonsson Lars B. G.
Norgren Martin
No associations
LandOfFree
The capacitance of the circular parallel plate capacitor obtained by solving the Love integral equation using an analytic expansion of the kernel does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The capacitance of the circular parallel plate capacitor obtained by solving the Love integral equation using an analytic expansion of the kernel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The capacitance of the circular parallel plate capacitor obtained by solving the Love integral equation using an analytic expansion of the kernel will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-431981