The temperature $\theta$ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures $\theta$1 and $\theta$2 (as shown in figure) is given by :

Question

The temperature $\theta$ at the junction of two insulating sheets, having thermal resistances R₁ and R₂ as well as top and bottom temperatures $\theta$₁ and $\theta$₂ (as shown in figure) is given by :

${{{\theta _1}{R_2} + {\theta _2}{R_1}} \over {{R_1} + {R_2}}}$

${{{\theta _1}{R_1} + {\theta _2}{R_2}} \over {{R_1} + {R_2}}}$

${{{\theta _1}{R_2} - {\theta _2}{R_1}} \over {{R_2} - {R_1}}}$

${{{\theta _2}{R_2} - {\theta _1}{R_1}} \over {{R_2} - {R_1}}}$

Solution

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