(2006?朝阳区)如图所示的电路中,灯泡L上标有“8V 4W”字样,滑动变阻器的最大阻值为R1,R2的阻值为8Ω

2026-05-19 12:03:34
推荐回答(1个)
回答1:

(1)当开关S1、S2、S3都闭合时,R1短路R2和灯泡L并联,且L正常发光,则有:电源电压U=UL=8V,
(2)由P=IU可得:IL=

PL
UL
=
4W
8V
=0.5A;
又I2=
U
R2
=
8V
=1A;
则I=IL+I2=0.5A+1A=1.5A,
故电流表示数为1.5A.
(3)当开关S1、S2断开,S3闭合时,R2开路,灯L与滑动变阻器R1串联:
RL=(
(UL)2
PL
=
(8V )2
4W
=16Ω
当滑动变阻器连入电路的阻值为R1时,P1=I2R1=(
U
RL+R1
)
2
R1

当滑动变阻器连入电路的阻值为
R1
4
时:P1′=
I′2R1
4
=
(
U
RL+
R1
4
)
2
R1
4

又P1=P1′则有:(
U
RL+R1
)2R1
=
(
U
RL+
R1
4
)
2
R1
4

代入数据,解得:R1=32Ω
答:(1)电源电压8V;(2)电流表示数为1.5A;(3)滑动变阻器的最在阻值是32Ω.