问题
选择题
如图所示,电源电压U不变,当开关S闭合与断开时,R1两端的电压比是4:3,则当开关S断开时,R1与R2的功率之比是( )
A.3:1
B.1:3
C.4:1
D.1:4

答案
(1)当开关S闭合时,R2短路,R1两端的电压等于电源电压,即U1=U;
当开关S断开时,R1与R2串联,根据开关S闭合与断开时,R1两端的电压比是4:3.又U=U1′+U2
所以,
=U1 U1′
=U U1′
=U1′ +U2 U1′
,整理得:4 3
=U1′ U2
.3 1
(2)当开关S断开时,R1与R2串联,电流相等,根据P=UI得:
=P1 P2
=U1′ U2
;3 1
故选A.