如图所示电路电源电压不变,R1=2Ω,开关S断开时,电压表V1、V2的功率之和为R1消耗功率的4倍.求R3的阻值;S断开
2个回答

i^2*(R1+R2)+i^2*(R1+R3)=4*i^2*R1

R2+R3+2*R1=4*R1 R1=2

R2+R3=4

只能到此为止 少了个条件

[U/(R1+R2+R3)]^2*R2

闭合后R2功率为 [U/(R1+R2)]^2*R2

两者之比为 [(R1+R2)/(R1+R2+R3)]^2

R2+R3=4 R1=2

所以[(R1+R2)/6]^2