(1)当开关S1闭合、S2断开时,等效电路图如图1所示;当开关S1、S2都闭合时,等效电路图如图2所示;(2)电源电压U不变,由图1得:U=I(R1+R2)=0.2A×(R1+R2)①;由图2得:U=I′R1=0.8A×R1 ②;由①②解得: R1 R2 = 1 3 ;故答案为:1:3.