(1)画出两种电路状态的等效电路图;
(2)R1、R2的阻值各是多大?答案:(1)当开关S1闭合,S2、S3均断开时,电阻R1与R2串联,等效电路图如图甲所示;
当开关S2、S3闭合,S1断开时,电阻R1与R2并联,等效电路图如图乙所示.(2)图甲和图乙中,电阻R1消耗的电功率:
P1P′1=I2R1I21R1=I2I21=9W16W=916,解得:II1=34,
∵电源的电压不变,∴II1=R1R1+R2=34,
解得:R1R2=31,图乙中:
P1=U2R1=U23R2=U3×UR2=U3×4A=16W,解得:U=12V,
R2=UI2=12V4A=3Ω,R1=3R2=3×3Ω=9Ω.
答:(1)等效电路图如上图所示;(2)R1、R2的阻值分别为9Ω和3Ω.
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