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Vol.2 , No. 2, Publication Date: Apr. 18, 2015, Page: 7-12
]. However, the equivalent resistance between any two nodes in an infinite case has not yet been solved. This paper, by taking the limit method, gives three integral formula for the equivalent resistance between any two nodes in the infinite globe network. Six specific examples are given as simple application of this method.&picture=http://www.aascit.org/aascit/decorators/img/journal/909.jpg)
| [1] | Tang Hua, Department of Physics, Yunhe Teachers college, Pizhou, 221300, China. |
| [2] | Tan Zhi-Zhong, Department of Physics, Nantong University, Nantong, 226019, China. |
The study on the equivalent resistance of resistor network is constantly making progress, but there are still some unresolved problems. The equivalent resistance between any two nodes in a finite globe network has been solved by one of us [Zhi-Zhong Tan, J. W. Essam, F. Y. Wu, Physical Review E. 90, 012130 (2014)]. However, the equivalent resistance between any two nodes in an infinite case has not yet been solved. This paper, by taking the limit method, gives three integral formula for the equivalent resistance between any two nodes in the infinite globe network. Six specific examples are given as simple application of this method.
Keywords
Globe Network, Infinite Network, Equivalent Resistance, Integral Formula
Reference
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| [08] | Zhi-Zhong Tan, L.Zhou, J-H.Yang. The equivalent resistance of a 3×n cobweb network and its conjecture of an m×n cobweb network. Journal of Physics A: Mathematical and Theoretical. 2013; 46 195202. |
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| [10] | Zhi-Zhong Tan, J. W. Essam, F. Y. Wu, Two-point resistance of a resistor network embedded on a globe. Physical Review E. 2014; 90 012130. |
| [11] | J. W. Essam, Zhi-Zhong Tan and F. Y. Wu, Resistance between two nodes in general position on an m×n fan network. Phys. Rev. E. 2014; 90, 032130. |
| [12] | Zhi-Zhong Tan, Theory on resistance of m×n cobweb network and its application. Int. J. Circ. Theor. Appl. 1014; DOI: 10.1002/cta.2035,1-16. |
| [13] | Zhi-Zhong Tan. Recursion-transform approach to compute the resistance of a resistor network with an arbitrary boundary. Chin. Phys. B. 2015; 24, 020503. |
| [14] | Zhi-Zhong Tan. Jing-Huai Fang. Two-point resistance of a cobweb network with a 2r boundary. Commun. Theor. Phys. 2015 63, 36-44. |
