Solved: A coaxial cable is made of a 0.1-in.-square inner conductor and a 0.5-in.-square
Chapter 12, Problem 5(choose chapter or problem)
A coaxial cable is made of a 0.1-in.-square inner conductor and a 0.5-in.-square outer conductor. The potential at a point in the cross section of the cable is described by Laplace's equation. Suppose the inner conductor is kept at 0 volts and the outer conductor is kept at 110 volts. Find the potential between the two conductors by placing a grid with horizontal mesh spacing /? = 0.1 in. and vertical mesh spacing /: = 0.1 in. on the region D = {(x, y) | 0 < x, y < 0.5 ). Approximate the solution to Laplace's equation at each grid point and use the two sets of boundary conditions to derive a linear system to be solved by the Gauss-Seidel method.
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