(1)开关S1闭合、S2断开时,只有电阻R1接在电源两端,
∵P1=
t=U2 R1
×5s=12J,(12V)2
R1
∴R1=60Ω;
此时电路电流I=
=U R1
=0.2A;12V 60Ω
∵R1与R3的比值是6:1,
∴R3=10Ω;
(2)开关S1断开、S2闭合时,电阻R2与R3串联接在电源两端,
由题意知,此时电路电流I′=I+△I=0.2A+0.1A=0.3A,
∵I=
,U R
∴R=R2+R3=
=U I′
=40Ω,12V 0.3A
R2=R-R3=40Ω-10Ω=30Ω;
故答案为:30.