Two concentric spheres of diameter D = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 400 K and T2 = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = i w (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with e = 0.5 and ez = 0.05, in W? 912 w (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with e2 = 0.05, ɛ1 = 0.5, and D = 0.8 m, in W? 912 (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (€2 = 1.0) and with & = 0.5, D2 and D = 0.8 m, in W? = 20 m, 912 = i

Two concentric spheres of diameter D = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 400 K and T2 = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = i w (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with e = 0.5 and ez = 0.05, in W? 912 w (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with e2 = 0.05, ɛ1 = 0.5, and D = 0.8 m, in W? 912 (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (€2 = 1.0) and with & = 0.5, D2 and D = 0.8 m, in W? = 20 m, 912 = i

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An opaque, diffuse, gray, square (200 mm x 200 mm) plate with an emissivity of 0.8 is placed over the opening of a furnace (L = 200 mm) and the plate temperature is known to be 400 K at a certain instant. The bottom of the furnace, having the same dimensions as the plate, is black and operates at 900 K. The sidewalls of the furnace are well insulated. The top of the plate is exposed to ambient air with a convection coefficient of 25 W/m²-K and to large surroundings. The air and surroundings are each at 300 K. Tsur Air T h -Plate -Insulated sidewalls -Furnace bottom (a) Evaluate the net radiative heat transfer to the bottom surface of the plate, in W. 9₁ = i W (b) If the plate has mass and specific heat of 2 kg and 900 J/kg.K, respectively, what will be the change in temperature of the plate with time, dT,/dt, in K/s? Assume convection to the bottom surface of the plate to be negligible. dT = dt K/s
With the data below solve the problem:
8. A black body has an effective surface temperature of 1000°C. Determine: (a) The total radiation energy (W/m?) that can be emitted by the black body (b) Determine total radiation energy (W/m?) that can be emitted by the black body within the 1-5 um wavelength range (c) The spectral blackbody emissive power at a wavelength of 2.5 um. (d) At what wavelength will this body have the maximum spectral blackbody emissive power.
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= C, Wien's law is stated as follows: 2mT where C is 2898 μm.K and Am is the wavelength at which the emissive power of a black body is maximum for a given temperature T. The spectral hemispherical emissivity (s) of a surface is shown in the figure below (1Å = 10-10m). The temperature at which the total hemispherical emissivity will be highest is Ex 6000 7000 ^(Å) 5000
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An opaque surface at 1000 K if its spectral emissivity is = 0.4, 0.7, and 0.3 for 0 < < 2 µm, 2μm < 6 μm, and 6um
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Wien's law is stated as follows: AmT = C, where C is 2898 μmK and Am is the wavelength at which the emissive power of a black body is maximum for a given temperature T. The spectral hemispherical emissivity (Ex) of a surface is shown in the figure below (1Å= 10-¹0m). The temperature at which the total hemispherical emissivity will be highest is K (round off to the nearest integer). Ext n 5000 6000 7000 (A)
Question 30 of 30 く - / 4.3 View Policies Current Attempt in Progress Two concentric spheres of diameter D = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 410 K and T2 = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = W (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with &j = 0.5 and ɛ2 = 0.05, in W? 912 = i W (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with ɛ2 = 0.05, ɛ = 0.5, and D = 0.8 m, in W? 912 = W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with &j = 0.5, D2 = 20 m, and D = 0.8 m, in W? 912 = i W Physical Properties Mathematical Functions II
Find the emissive power of a black body with surface temperature of 1000 K and wavelengthof (1) μm. uses charts/table also if needed