Breakdown in a spherical capacitor with a multilayer dielectric. Consider a spherical capacitor with N concentric dielectric layers. The inner radius, relative permittivity, and the dielectric strength of the ith layer are ai, εri, and Ecri, respectively (i = 1, 2, . . . ,N). The inner radius of the outer conductor of the capacitor is b. Write aMATLAB program to find which dielectric layer would break down first after a voltage of critical value is applied across the capacitor electrodes and to compute the breakdown voltage of the capacitor. Test the program for N = 3, a1 = 2.5 cm, a2 = 5 cm, a3 = 7 cm, and b = 9 cm, if the dielectrics constituting layers 1, 2, and 3 are polystyrene, quartz, and silicon, respectively (use GUI’s from
MATLAB Exercises 2.1 and 2.3 to get the values of material parameters).(ME2 _21.m on IR) H
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