摘要
研究了3×n阶电阻网络的等效电阻.应用矩阵变换方法求解了差分方程组,给出了3×n阶电阻网络等效电阻的一个简洁的普适规律,并计算出了无穷3×n阶电阻网络的等效电阻,发现无穷3×n阶电阻网络的等效电阻,是一个无理数.
The basic structure of a 3 × n -network is studied and the equivalent resistance of the network is calculated. A set of differential equations is solved by using the matrix transform method and thus a general formula for the inlet resistance of 3 ×n -network is proposed. It is found the equivalent resistance of infinity resistance network is an irrational number.
出处
《大学物理》
北大核心
2008年第9期7-10,共4页
College Physics
关键词
3×n阶网络
差分方程模型
矩阵变换
等效电阻
3 × n step network
differential equation
matrix transform
equivalent resistance
