### Citations

25 | Application of the lattice Green’s function for calculating the resistance of infinite networks of resistors. - Cserti - 2000 |

16 | Steenwijk, “Infinite resistive lattices
- Atkinson, van
- 1999
(Show Context)
Citation Context ... + ∗ + ∗ + eff ba b-a 2 C Q C MQ C MQ C MQV ? ? −?s(5)sAnd, therefore, the effective capacitance between any two adjacent nodes “a” and “b” of ansinfinite capacitive lattice is:s2 b-a eff MC V QC ? ?s=-=(6)-=-sAgain, similar to Equation (4), Equation (6) is also a new and simple result that applies to anysinfinite uniform N-dimensional capacitive lattice.sTherefore, for an infinite 2D Honeycombscapacitive ... |

13 |
On the resistance between two points on a grid.
- Venezian
- 1994
(Show Context)
Citation Context ...hip for ascapacitor, the total voltage, Va-b, across the capacitor C connected between adjacent nodes “a”sand “b” in the test circuit in Fig. 3 is:s∗ + ∗ + ∗ + eff ba b-a 2 C Q C MQ C MQ C MQV ? ? −?s=-=(5)-=-sAnd, therefore, the effective capacitance between any two adjacent nodes “a” and “b” of ansinfinite capacitive lattice is:s2 b-a eff MC V QC ? ?s(6)sAgain, similar to Equation (4), Equation (6) is al... |

2 |
Resistance between adjacent points of Liebman mesh
- Aitchison
- 1964
(Show Context)
Citation Context ...ba b-a 2 ? ? − ?s(1)sAnd, therefore, the effective resistance between any two adjacent nodes “a” and “b” of ansinfinite resistive lattice is:sM R I VR 2 b-a eff ? ?s=-=(2)-=-sEquation (2) is a new and remarkably simple, elegant, and powerful result that applies to anysinfinite uniform N-dimensional resistive lattice.sFor example, for an infinite 2D Honeycombsresistive lat... |

2 |
A classical puzzle: The driving-point resistances of infinite grids
- Zemanian
- 1984
(Show Context)
Citation Context ...inite inductive lattice is:sFig. 3.sTest circuit used to calculate Reff, Leff, or CeffsVa-bs(or νa-b)s+s-sa b Ia = Is(or Qa = Q)sInfinite R, L,sor C latticesIb = Is(or Qb = Q)sM L I L 2 b-a eff ? ? νs=-=(4)-=-sSimilar to Equation (2), Equation (4) is a new and simple result that applies to any infinitesuniform N-dimensional inductive lattice.sTherefore, for an infinite 2D Honeycomb inductiveslattice, the e... |

2 | The resistive net and finite-difference equations - Lavatelli - 1972 |

2 | Random walks and effective resistances on toroidal and cylindrical grids - Jeng - 2004 |

1 |
Circuit Theory Fundamentals and Applications, Second Edition
- Budak
- 1987
(Show Context)
Citation Context ... law, the total voltage, Va-b, across the resistor R connected between nodes “a” and “b” insthe test circuit in Fig. 3 is:sIR R M I R M IR M IV eff ba b-a 2 ? ? − ?s=-=(1)-=-sAnd, therefore, the effective resistance between any two adjacent nodes “a” and “b” of ansinfinite resistive lattice is:sM R I VR 2 b-a eff ? ?s(2)sEquation (2) is a new and remarkably simple, elegan... |

1 |
Let’s analyze the resistance lattice
- Bartis
- 1967
(Show Context)
Citation Context ...the total magnetic flux linking the inductorsL connected between nodes “a” and “b”, νa-b, in the test circuit in Fig 3 is:sIL L M I L M IL M I eff ba b-a 2 ? ? − ?νs=-=(3)-=-sAnd, therefore, the effective inductance between any two adjacent nodes “a” and “b” of ansinfinite inductive lattice is:sFig. 3.sTest circuit used to calculate Reff, Leff, or CeffsVa-bs(or νa-b)s+s-s... |

1 | Impedance between adjacent nodes of infinite uniform D-dimensional resistive lattices - Osterberg, Inan - 2004 |