在n个电阻的并联电路中:设电压为U;总电阻为R,分电阻为R1、R2······Rn;总电流为I,分电流为I1、I2······In则:I=U/R1+U/R2+······+RnR=U/I=U/(U/R1+U/R2+······+U/Rn)=1/(1/R1+1/R2+······+1/Rn)∴1/R=1/R1+1/R2+······1/Rn或:I=I1+I2+······+InU/R=U/R1+U/R2+······+U/Rn∴1/R=1/R1+1/R2+······+1/Rn