如图D-3所示,C1=0.2μF,C2=0.3μF,C3=0.8μF,C4=0.2μF,求开关K断开与闭合时,AB两点间等效电容CAB。

解:(1)K断开时,C1、C2串联,C3、C4串联,然后两者并联,则:
CAB=C1×C2/(C1+C2)+C3×C4/(C3+C4)
=0.2×0.3/(0.2+0.3)+0.8×0.2/(0.8+0.2)
=0.12+0.16=0.28μF (2分)
(2)K闭合时,C1、C3并联,C2、C4并联然后两者串联,
CAB=(C1+C3)(C2+C4)/(C1+C3+C2+C4)
=(0.2+0.8)(0.3+0.2)/(0.2+0.8+0.3+0.2)
=0.33μF (2分)
答:开关K断开与闭合时,AB两点间等效电容分别为0.28μF和0.33μF。(1分)