Capacitor with space charge. Consider the parallel plate capacitor in Figure 6.42. A uniform charge density P0 = 10-6 C/m exists everywhere inside the capacitor and both plates are grounded. The permittivity of the material inside the capacitor equals 4ε0.
(a) Calculate the potential and electric field intensity everywhere inside the capacitor using a one-dimensional finite differences method.
(b) Find the analytic solution by direct integration and compare the numerical and analytic solutions.
