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Question

# The temperature θ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as bottom and top temperatures θ1 and θ2 (as shown in figure) is given by :

A
θ1R2+θ2R1R1+R2
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B
θ1R2θ2R1R2+R1
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C
θ1R2θ1R1R2R1
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D
θ1R1+θ2R2R1+R2
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Solution

## The correct option is A θ1R2+θ2R1R1+R2Temperature at the junction is θ. Since the two sheets are in series combination , so the thermal current flowing through them is same . T2−TR2=T−T1R1 θ2−θR2=θ−θ1R1 R1(θ2−θ)=R2(θ−θ1) R1θ2−R1θ=R2θ−R2θ1 R1θ+R2θ=R1θ2+R2θ1 θ=R1θ2+R2θ1R1+R2

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