Consider a shield with an emissivity of \(\epsilon_{\mathrm{s}}\) separating two parallel plates as shown in Fig. 19.11. Assume that the shield is adiabatic and that there is no net loss of heat. Find the temperature of the shield and the factor by which radiation between the plates is reduced due to the presence of the shield.

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Plate 2 T = T2; = 2 Shield, = = 5 T = T1; = 1 Plate 1 Figure 19.11 Two plates separated by a radiation shield.