In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance, T₁ = 11 T2+T3+0-120 4 Find the temperatures T₁, T2, T3, T4, when the grid is in thermal equilibrium. T₁ T₂ = T3 T4= -120 320 -120 -160 13 T1 14 ● T₂ 120 120 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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In a grid of wires, the temperature at exterior mesh points is maintained at constant values as
shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior
mesh point is the average of the temperatures at the four adjacent points. For instance,
T₁=
=
T2+T3+0-120
4
Find the temperatures T1, T2, T3, T4, when the grid is in thermal equilibrium.
T₁=
T2=
T3
ΤΑ
-120
320
-120
-160
3
11
0
120
120
X
Transcribed Image Text:In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance, T₁= = T2+T3+0-120 4 Find the temperatures T1, T2, T3, T4, when the grid is in thermal equilibrium. T₁= T2= T3 ΤΑ -120 320 -120 -160 3 11 0 120 120 X
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