Question

A partial differential equation
$\frac{∂^2T}{∂x^2}+\frac{∂^2T}{∂y^2}=0$
is defined for the two-dimensional field T: T(x, y), inside a planar square domain of size 2 m x 2 m. Three boundary edges of the square domain are maintained at value T = 50, whereas the fourth boundary edge is maintained T = 100.
The value of T at the center of the domain is

• A. 50.0
• B. 62.5
• C. 75.0
• D. 87.5

Answer 1

Answer: (B)

62.5

Answer 2

The correct option is (B) : 62.5.