问题 问答题

如图所示,电池内阻r=1.5Ω,R1=R2=R3=4Ω,R4=10Ω.

(1)当电键S1、S2均断开时,电压表读数为4V,求电源电动势E;

(2)当电键S1、S2均闭合时,两个电表的读数分别为多少?

答案

(1)当电键S1、S2均断开时,

R2中的电流I2=

U
R2
=1A                                 

电源电动势E=I2(r+R1+R2+R3)=13.5V                              

(2)当电键S1、S2均闭合时,

外电路总电阻为 R=

R3(
R1R2
R1+R2
+R4)
R3+
R1R2
R1+R2
+R4
=3Ω              

总电流为 I=

E
R+r
=3A,路端电压为  U=
R
R+r
E
=9V                             

电压表读数为R2上的电压,则U2=

1
2
R1
1
2
R1+R4
U=
2
2+10
×9V
=1.5V                           

流经R1的电流为I1=

U2
R2
=
1.5
4
A=
3
8
A
                                   

流经R3的电流为I3=

U
R3
=
9
4
A                                           

电流表读数为IA=(I1+I3)=

21
8
A                                    

答:

(1)当电键S1、S2均断开时,电压表读数为4V,电源电动势E是13.5V;

(2)当电键S1、S2均闭合时,电流表读数为

21
8
A,电压表读数为1.5V.

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