一种新的电阻元件等效方法及其应用

摘要：利用串联电阻的等效电阻等于各电阻之和、并联电阻的等效电导等于各电导之和的结论．导出了电阻等效的新结论，即任意电阻可以等效为一个电阻与一个电压控制电压源的串联，也可以等效为一个电阻和一个电流控制电压源的串联；任意电阻可以等效为一个电阻和一个电流控制电流源的并联，也可以等效为一个电阻和一个电压控制电流源的并联。本文给出了这种等效方法的理论证明，并以实例说明了电阻等效的应用。

A New Method for Equivalent of Resistor and Its Application

A new conclusion is drawn from that the equivalent resistance of series resistors is the sum of resistances of each individual resistor and the equivalent conductance of parallel resistors is the sum of conductances of each individual resistor. Any resistor can be equivalent to another resistor in series with a voltage-controlled voltage source, or to another resistor in series with a current-controlled voltage source. Any resistor can be equivalent to another resistor in parallel with a current-controlled current source, or to another resistor in parallel with a voltage-controlled current source. It is proved to be true theoretically. Examples are also given.