Answer to Question #66557 in Differential Equations for Neil RaZz

Question

The electrostatic potential V(x,y) in a rectangular region is governed by the two-
dimensional Laplace equation:
d^2V (x,y)/dx^2 + d^2v (x,y)/dy^2 =0
Determine V(x,y) in a rectangular region 0 ≤ x ≤ 20 and 0 ≤ y ≤ 40 for the following
boundary conditions:
V ,0( y) =V 20( , y) =V(x )0, = 0
and
V (x 40, ) =110V

Answer 1

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