题目内容
如图所示,电源电压不变,当只闭合S1时,电流表A 1示数为I1 ,电流表 A2示数为I2。当开关S1、S2都闭合时,电流表A1示数为I1',电流表A2 示数为I2',I2:I1=2:3,I2':I1'=4:7,则电阻R1:R2:R3的比值为
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A.2:3:4 | B.3:4:7 | C.2:1:4 | D.4:2:1 |
C
试题分析:设电源电压为U,当只闭合S1时,R1与R2并联,由I2:I1=2:3和并联电路中电流、电压的特点,可知U/R2:(U/R1+U/R2)=2:3,解得:R1:R2=2:1,即R1=2R2;S1、S2都闭合时,R1、R2与R3并联,同理,由I2':I1'=4:7和并联电路中电流的特点,可知U/R2:(U/R1+U/R2+U/R3)=4:7,把R1=2R2代入得U/R2:(3U/2R2+U/R3)=4:7,解得:R3:R2=4:1,所以电阻R1:R2:R3="2:1:4" 。故选C
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