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The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A₂ = 7.07 m²; diameter d; = 3 m; E₁ = 0.5; Surface 2: A₂ = 45.74 m²; black surface, &₂ = 1; T₂ = 100 K Surface 3: As = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d; = 8.2 m; d4 = ds 7 } d1 q=3181.0 W L=26m; &=0.9; T3=90 K E=0.1; perfectly insulated

The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A₂ = 7.07 m²; diameter d; = 3 m; E₁ = 0.5; Surface 2: A₂ = 45.74 m²; black surface, &₂ = 1; T₂ = 100 K Surface 3: As = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d; = 8.2 m; d4 = ds 7 } d1 q=3181.0 W L=26m; &=0.9; T3=90 K E=0.1; perfectly insulated

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A = 7.07 m²; diameter d; = 3 m; &₁ = 0.5; Surface 2: A₂ = 45.74 m²; black surface, E₂ = 1; T₂ = 100 K Surface 3: A = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d = 8.2 m; d4 = ds 7 6 LN di q=3181.0 W L= 26 m; &=0.9 ; T3=90 K E= 0.1 perfectly insulated
Transcribed Image Text:The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A = 7.07 m²; diameter d; = 3 m; &₁ = 0.5; Surface 2: A₂ = 45.74 m²; black surface, E₂ = 1; T₂ = 100 K Surface 3: A = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d = 8.2 m; d4 = ds 7 6 LN di q=3181.0 W L= 26 m; &=0.9 ; T3=90 K E= 0.1 perfectly insulated
Given the information you have for Surface 4, choose the equation necessary to help solve for the radiosity J4. (A.) (OT-14) 1-E₁ (B.) 14 = OT (C.) 94 = 0T* A4 · = A4F41(J4 − J1) + A4F42(4 −/2) + A4F43(4-13) (D.) 940W = A4F₁1(J₁ − J₁) + A4F42(J4 − J2) + A4F43(J4-J3)
Transcribed Image Text:Given the information you have for Surface 4, choose the equation necessary to help solve for the radiosity J4. (A.) (OT-14) 1-E₁ (B.) 14 = OT (C.) 94 = 0T* A4 · = A4F41(J4 − J1) + A4F42(4 −/2) + A4F43(4-13) (D.) 940W = A4F₁1(J₁ − J₁) + A4F42(J4 − J2) + A4F43(J4-J3)
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