Problem #$3$

$6$ points

Two infinite grey parallel plates are separated by a thin gray radiation shield as shown in the figure below. Determine:

A$)$ What is temperature of the shield, $T_s?(2$ points$)$

B$)$ What is the radiation heat transfer from plate $2$ to plate $1$ with the shield in place? $(2$ points$)$

C$)$ What is the ratio of the heat transferred from $2$ to $1$ with the shield to that transferred without the shield? $(2$ points$)$