A circular ceramic plate that can be modelled as a blackbody is being heated by an electrical heater. The plate is 30cm in diameter and is situated in a surrounding ambient temperature of 15°C where the natural convection heat transfer coefficient is 12W/m²-K. The efficiency of the electrical heater to transfer heat to the plate is 80%, the electric power is required such that the heater needs to keep the surface temperature of the plate at 200°C. Ambient 15°C h=12 W/m²K Tur=15°C Ceramic plate T₁=200°C Welec (A) Determine the heat emitted from the plate, as a blackbody. (B) Determine the radiation incident on the plate from the surroundings.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Question #9
A circular ceramic plate that can be modelled as a blackbody is being heated by an electrical
heater. The plate is 30cm in diameter and is situated in a surrounding ambient temperature
of 15°C where the natural convection heat transfer coefficient is 12W/m² K. The efficiency
of the electrical heater to transfer heat to the plate is 80%, the electric power is required
such that the heater needs to keep the surface temperature of the plate at 200°C.
Ambient 15°C Tsurr = 15°C
h = 12 W/m².K
Ceramic plate
-T₂ = 200°C
Welec
(A) Determine the heat emitted from the plate, as a blackbody.
(B) Determine the radiation incident on the plate from the surroundings.
(C) Determine the heat transfer from the plate to the surroundings.
(D) Determine the required electric power.
Transcribed Image Text:Question #9 A circular ceramic plate that can be modelled as a blackbody is being heated by an electrical heater. The plate is 30cm in diameter and is situated in a surrounding ambient temperature of 15°C where the natural convection heat transfer coefficient is 12W/m² K. The efficiency of the electrical heater to transfer heat to the plate is 80%, the electric power is required such that the heater needs to keep the surface temperature of the plate at 200°C. Ambient 15°C Tsurr = 15°C h = 12 W/m².K Ceramic plate -T₂ = 200°C Welec (A) Determine the heat emitted from the plate, as a blackbody. (B) Determine the radiation incident on the plate from the surroundings. (C) Determine the heat transfer from the plate to the surroundings. (D) Determine the required electric power.
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