The temperature θ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures θ1 and θ2 (as shown in figure) is given by:
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a
θ1R2−θ2R1R2−R1
b
θ2R2−θ1R1R2−R1
c
θ1R2+θ2R1R1+R2
d
θ1R1+θ2R2R1+R2
answer is C.
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Detailed Solution
At steady state, heat flow rate wil be same. ⇒θ1−θR1=θ−θ2R2⇒θ=θ1R2+θ2R1R1+R2