(2012?道外区一模)如图所示的电路中,电源电压不变,闭合开关S,电压表V1与V2示数之比为3:4,电流表A1

2025-05-07 02:49:10
推荐回答(1个)
回答1:

(1)开关闭合后,三个电阻串联,
∵P1=IA12R1
∴R1=

P1
(IA1)2
=
4W
(1A)2
=4Ω,
(2)把V2换成A2后,只有电阻R1接入电路,
∵I=
U
R

∴电源电压
U=U1′=IA2R1=3A×4Ω=12V,
故A错误;
(3)由电路图可知:
U1+U2+U3=U=12V,
∵I=
U
R

∴电阻R1两端电压
U1=IA1R1=1A×4Ω=4V,
U2+U3=U-U1=12V-4V=8V,
∵电压表V1测R1、R2的串联电压,
电压表V2测R2、R3的串联电压,
U1+U2
U2+U3
=
UV1
UV2
=
3
4

∴U1+U2=
3
4
(U2+U3)=
3
4
×8V=6V,
U2=6V-U1=6V-4V=2V,
U3=U-U1-U2=12V-4V-2V=6V,
∵I=
U
R

∴电阻R2=
U2
IA1
=
2V
1A
=2Ω;
R3=
U3
IA1
=
6V
1A
=6Ω,故C错误;
R1
R2
=
=
2
1
,故B错误;
R2
R3
=
=
1
3
,故D正确.
故选D.