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

Question

The temperature &#952; at the junction of two insulating sheets, having thermal resistances R 1 and R 2 as well as top and bottom temperatures &#952; 1 and &#952; 2 (as shown in figure) is given by :

Aicharya · Accepted Answer

Heat flow rate will be same through both

$∴ \frac{θ_{1} - θ}{R_{1}} = \frac{θ - θ_{2}}{R_{2}}$

$R_{2} θ_{1} - R_{2} θ = R_{1} θ - R_{1} θ_{2}$

$θ = \frac{R_{2} θ_{1} + R_{1} θ_{2}}{R_{1} + R_{2}}$

The temperature θ at the junction of two insulating sheets, having thermal resistances R 1 and R 2 as…

Solution

The temperature &#952; at the junction of two insulating sheets, having thermal resistances R 1 and R 2 as…

Solution

The temperature θ at the junction of two insulating sheets, having thermal resistances R 1 and R 2 as…