Figure shows the cross-section of an electrostatic problem with translational symmetry: a rectangular coaxial cable. The inner conductor is held at 10 volts and the outer conductor is grounded. (This is similar to the system considered in Question 3, Assignment 1.)
(a) Use the two-element mesh shown in Figure as a "building block" to construct a finite element mesh for one-quarter of the cross-section of the coaxial cable. Specify the mesh, including boundary conditions, in an input file following the format for the SIMPLE2D program as explained in the course notes. (Hint: Your mesh should consist of 46 elements.)
(b) Use the SIMPLE2D program with the mesh from part (a) to compute the electrostatic potential solution. Determine the potential at (x,y) = (0.06, 0.04) from the data in the output file of the program.
(c) Compute the capacitance per unit length of the system using the solution obtained.