Solution Found!
In a grid of wires, the temperature at exterior mesh points is maintained at constant
Chapter 1, Problem 28(choose chapter or problem)
In a grid of wires, the temperature at exterior mesh points is maintained at constant values (in \({ }^{\circ} \mathrm{C}\) ) as shown in the accompanying figure. When the grid is in thermal equilibrium, the temperature \(T\) at each interior mesh point is the average of the temperatures at the four adjacent points. For example,
\(T_{2}=\frac{T_{3+T_{1}+200+0}}{4}\)
Find the temperatures \(T_{1}, T_{2}\), and \(T_{3}\) when the grid is in thermal equilibrium.
Questions & Answers
QUESTION:
In a grid of wires, the temperature at exterior mesh points is maintained at constant values (in \({ }^{\circ} \mathrm{C}\) ) as shown in the accompanying figure. When the grid is in thermal equilibrium, the temperature \(T\) at each interior mesh point is the average of the temperatures at the four adjacent points. For example,
\(T_{2}=\frac{T_{3+T_{1}+200+0}}{4}\)
Find the temperatures \(T_{1}, T_{2}\), and \(T_{3}\) when the grid is in thermal equilibrium.
ANSWER:
Step 1 of 2
The grid is in thermal equilibrium if and only if it follows equalities hold.
