问题
问答题
如图所示电路,R1=R3=R4=2Ω,R2=1Ω.当电键S断开时,电压表的示数为2.8V,当电键S闭合时,电压表的示数为2.5V,求:
(1)画出S断开时的等效电路图,求出外电路电阻值.
(2)画出S闭合时的等效电路图,求出外电路电阻值.
(3)电源电动势和内电阻各是多少?

答案
(1)S断开时,R3、R4串联后与R2并联,再与R1串联.画出等效电路如图所示.
外电路电阻值R=R1+
=2+R2(R3+R4) R2+R3+R4
(Ω)=2Ω.外电路电阻值(2)S闭合时,R1、R3并联电阻值为R并=1×4 5
=1ΩR1R3 R1+R3
外电路电阻值R′=
=1Ω(R并+R2)R4 R并+R2+R4
(3)由闭合电路欧姆定律得:
E=U1+
r①U1 R
E=U2+
r②U2 R′
联立①②解得:E=3.0V,r=0.2Ω
答:(1)S断开时的等效电路图如上图所示.外电路电阻值为2.8Ω;
(2)S闭合时的等效电路图如右图所示.外电路电阻值为1Ω.
(3)电源电动势和内电阻各是3.0V和0.2Ω.