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中学生对电阻较多的电路的分析和计算,往往感到困难。这里,着重谈谈如何利用等势点的性质,来简化电路计算的问题。如图1所示的电路,每个电阻的大小皆为R_o,求等效电阻R_(AB)的值。对电路进行分析:电路由四支同样的分支电路并联而成,每一支路由两个电阻R_o串联而成,等效电阻应为: R_(AB)=1/4×2R_o=1/2R_o。要很快找到这样的关系,是不太容易的。若采用下面的方法,学生就容易理解。
Middle school students often find it difficult to analyze and calculate circuits with more resistance. Here, we will focus on how to use the nature of equipotential points to simplify the circuit calculations. As shown in the circuit in Figure 1, the size of each resistor is R_o, find the equivalent resistance R_ (AB) value. Analysis of the circuit: The circuit consists of four identical branch circuits connected in parallel. Each branch is formed by connecting two resistors R_o in series. The equivalent resistance should be: R_(AB)=1/4×2R_o=1/2R_o. It is not easy to find such a relationship quickly. If the following method is used, students will understand it easily.