Scholarlink

<p>The cobweb resistor network has attracted extensive attention and research from scholars due to its rich topological diversity and significant application potential. However, when applying traditional methods to solve for the equivalent resistance between the arbitrary-stage nodes in a cascaded cobweb resistor network (CCRN), one encounters the problem of periodicity being disrupted by network decomposition, making it impossible to obtain a solution. In this study, we ingeniously addressed this challenge by introducing a “negative resistance” method, which allows for network decomposition without disrupting its periodicity. The specific approach is as follows: First, a “negative resistance” is introduced between the arbitrary-stage nodes to perform equivalent transformation and decompose the entire network into left, middle, and right networks. Then, the commonly used improved recursion-transform method is applied to the left and right networks to calculate the equivalent resistance between their final-stage nodes. Finally, the equivalent resistance between the arbitrary-stage nodes is obtained by utilizing the parallel relationship among the left, middle, and right networks. By employing this method, we have effectively solved the equivalent resistance between the arbitrary-stage nodes in the 2 × 6 × <i>m</i> CCRN, demonstrating simplicity and convenience.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Research on the Equivalent Resistance Between the Arbitrary-Stage Nodes in the 2 × 6 × m Cascaded Cobweb Resistor Network

  • 期刊论文

  • 发表日期：

    2025年9月24日

查看全文
  • Li-jin Luo,
  • Feng-hua Luo,
  • Hua Zhang,
  • Jian-hua Yang

摘要

The cobweb resistor network has attracted extensive attention and research from scholars due to its rich topological diversity and significant application potential. However, when applying traditional methods to solve for the equivalent resistance between the arbitrary-stage nodes in a cascaded cobweb resistor network (CCRN), one encounters the problem of periodicity being disrupted by network decomposition, making it impossible to obtain a solution. In this study, we ingeniously addressed this challenge by introducing a “negative resistance” method, which allows for network decomposition without disrupting its periodicity. The specific approach is as follows: First, a “negative resistance” is introduced between the arbitrary-stage nodes to perform equivalent transformation and decompose the entire network into left, middle, and right networks. Then, the commonly used improved recursion-transform method is applied to the left and right networks to calculate the equivalent resistance between their final-stage nodes. Finally, the equivalent resistance between the arbitrary-stage nodes is obtained by utilizing the parallel relationship among the left, middle, and right networks. By employing this method, we have effectively solved the equivalent resistance between the arbitrary-stage nodes in the 2 × 6 × m CCRN, demonstrating simplicity and convenience.