| Issue |
Eur. Phys. J. Appl. Phys.
Volume 32, Number 3, December 2005
|
|
|---|---|---|
| Page(s) | 149 - 154 | |
| Section | Semiconductors and Devices | |
| DOI | https://doi.org/10.1051/epjap:2005075 | |
| Published online | 06 December 2005 | |
https://doi.org/10.1051/epjap:2005075
Capacitance between two points on an infinite grid
1
Dep. of Physics, University of Jordan, 11942 Amman, Jordan
2
Dep. of Physics, Mutah University, Jordan
3
Dep. of Basic Sciences, Ajman University, UAE
Corresponding author: jkalifa@ju.edu.jo
Received:
27
March
2005
Revised:
13
July
2005
Accepted:
18
July
2005
Published online:
6
December
2005
The capacitance between two adjacent nodes on an infinite square grid of identical capacitors can easily be found by superposition, and the solution is found by exploiting the symmetry of the grid. The mathematical problem presented in this work involves the solution of an infinite set of linear, inhomogeneous difference equations which are solved by the method of separation of variables.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 61.50.Ah – Theory of crystal structure, crystal symmetry; calculations and modeling / 84.37.+q – Electric variable measurements (including voltage, current, resistance, capacitance, inductance, impedance, and admittance, etc.)
© EDP Sciences, 2005
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