题目内容
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 |
(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,
=
=
=
,整理得:
=
.
(2)当开关S断开时,R1与R2串联,电流相等,根据P=UI得:
=
=
;
故选A.
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′ |
| 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.
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