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.
(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 from SIMPLE2D.