电压表与R1并联的等值电阻 R1'=3k*9k/(3k+9k)=2.25kΩ
电压表与R2并联的等值电阻 R2'=6k*9k/(6k+9k)=3.6kΩ
设所求电压为U
电压表接在R1两端时:
2/U=2.25k/(2.25k+6k+R3)=2.25k/(8.25k+R3).
电压表接在R2两端时:
3.6/U=3.6k/(3k+3.6k+R3)=3.6k/(6.6k+R3)
即1/U=1k/(6.6k+R3).
由.两式解得
R3=6.6kΩ
U=13.2V
电压表与R1并联的等值电阻 R1'=3k*9k/(3k+9k)=2.25kΩ
电压表与R2并联的等值电阻 R2'=6k*9k/(6k+9k)=3.6kΩ
设所求电压为U
电压表接在R1两端时:
2/U=2.25k/(2.25k+6k+R3)=2.25k/(8.25k+R3).
电压表接在R2两端时:
3.6/U=3.6k/(3k+3.6k+R3)=3.6k/(6.6k+R3)
即1/U=1k/(6.6k+R3).
由.两式解得
R3=6.6kΩ
U=13.2V