问题
问答题
两个电阻R1、R2并联的总电阻为R总=
,有同学据此认为三个电阻R1、R2、R3并联后的总电阻R总=R1R2 R1+R2
,但是这个想法是错误的,请运用所学的电学知识加以证明.R1R2R3 R1+R2+R3
答案
证明:∵三个电阻R1、R2、R3并联,
∴
=1 R 总
+1 R1
+1 R2
=1 R3
,R1R2+R2R3+R1R3 R1R2R3
∴R总=
,R1R2R3 R1R2+R2R3+R3R1
∴总电阻R总=
这个想法是错误的.R1R2R3 R1+R2+R3