电桥电路的一组等效电阻公式的推导证明及与此相关的电路特点分析

Deduction and Demonstration of a Set of Equivalent Resistance Formula of the Bridge Circuit and Characteristics Analysis

通过星三角等效变换及电阻串并联等效变换公式,推导得出了电桥电路的一组等效电阻公式,相较于其他相关等效电阻公式,减少了电阻参数的反复利用次数,相对具备了方便理解和记忆的特征,并可由这些公式进一步推导出一些与电桥电路相关的普适规律。

Through the formulas for the star delta equivalent transformation and resistor series-parallel equivalent transformation,a set of equivalent resistance formula for the bridge circuit is deduced. Compared to other related formulas,it has reduced the number of repeated use of the resis-tance parameters and obtained the characteristics of being easy to understand and memorize. In addition,some universal laws associated with the bridge circuit could be further derived from these formulas.