闭合开关S,当开关S1闭合时,等效电路图如图1所示;
开关S1断开时,等效电路图如图2所示;由图1和图2中,
∵串联电路中各处的电流相等,且I=UR,∴I1I2=UV1R1U′V1R1=UV1U′V1=32,
∵电压表V2两次示数之比为9:10,∴UV2U′V2=I1R2I2(R2+R3)=I1I2×R2R2+R3=32×R2R2+R3=910,
解得:R2R3=32,即R2=32R3=32×4Ω=6Ω,∵电源的电压不变,
∴I1I2=R1+R2+R3R1+R2=R1+R2+23R2R1+R2=32,解得:R1R2=13,R1=13R2=13×6Ω=2Ω,
图2中,P2′=I22R2=I22×6Ω=13.5W,
解得:I2=1.5A,电源的电压U=I2(R1+R2+R3)=1.5A×(2Ω+6Ω+4Ω)=18V,故A不正确;
图1中,P1=U2R1+R2=(18V)22Ω+6Ω=40.5W,故D不正确,
P2=U2R1+R2+R3=(18V)22Ω+6Ω+4Ω=27W,故C正确;∴P1P2=40.5W27W=32,即2P1=3P2,故B正确.
故选BC.来源:电商信息网
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