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并联电路总电阻的倒数,等于各个支路电阻的倒数之和。用公式表示为: 1/R=(1/R_1)+(1/R_2)+…+(1/R_i)+…+(1/R_n)=sum from i=1 to n (1/R_i) (1)这种方法可称为“倒数法”或“电导法”。当各支路电阻相等时,R_1=R_2=……=R_i=…=R_n,则R=(R_1/n)一般说来,实际的并联电路各支路电阻往往是不相等的。能否有办法让各支路电阻变成相等呢?下面让我们来研究图1所示的电路。该电路两支路的电阻R_1>R_2,如果用R_(21)和R_(22)两个支路代替R_2支路,R_(21)=R_(22)=R_1,如图2所示,两图表示的电路并联总电阻相等,图2是图1的等效电路。它们的并联总
The reciprocal of the total resistance of the parallel circuit is equal to the sum of the reciprocals of the resistance of each branch. Formulated as: 1/R=(1/R_1)+(1/R_2)+...+(1/R_i)+...+(1/R_n)=sum from i=1 to n (1/R_i) ( 1) This method can be called “countdown method” or “conductivity method.” When the resistance of each branch is equal, R_1=R_2=...=R_i=...=R_n, then R=(R_1/n) In general, the actual branch resistances of the parallel circuits are often not equal. Is there a way to make the resistance of each branch equal? Let’s study the circuit shown in Figure 1. The resistance of the two branches of the circuit is R_1>R_2. If two branches R_(21) and R_(22) are used instead of the R_2 branch, R_(21)=R_(22)=R_1, as shown in FIG. 2 , two The figure shows that the total resistance of the parallel circuits is equal. Figure 2 is the equivalent circuit of Figure 1. Their total parallel