Create; (a) parallel plate and (b) coaxial electrode models in FEMMTM or any other electric field plotting platform. The distance in (mm) is 71445.7mm. For the coaxial electrodes, the radius of the inner electrode should be 2.8. The radius of the outer electrode is 14. Apply any potential difference across the electrodes and plot the electric field profiles for each of the two cases. Manually calculate the minimum and maximum electric field intensity values in each of the two cases and then compare and contrast the calculated and simulated values. Part 2 Create; (a) parallel plate and (b) coaxial electrode models in FEMMTM or any other electric field plotting platform. The distance in (mm) between the parallel plates should be 2.8mm. For the coaxial electrodes, the radius of the inner electrode should be 2.8. The radius of the outer electrode is 14. In case (a) a 0.5 mm thick cavity is trapped mid-way between the insulation. In case (b) a 0.5 mm thick cavity is trapped midway in the insulation. The dielectric constant of the insulation in both cases is 4. Apply any potential difference across the electrodes and do the following: • Plot the electric field profiles (on the same axes) for each of the two cases with and without the cavity. Comment on the effect of the air cavity on the e-field profile in the insulation part of each of the two cases. • Manually calculate the maximum electric field intensity values in the air cavity in each of the two cases and then compare and contrast the calculated and simulated values. • What voltage if applied on the electrodes in each case causes the air cavity to spark-over? • If the air cavity is replaced by a metallic particle of the same dimensions as the cavity, calculate the new maximum electric field values in the system. Plot on the same axis the electric field profiles in each of the two cases of (a) and (b) with and without the metallic particle contaminant. Comment on the differences in how the air cavity and metallic particle distort the electric field profile in the insulation. What are the implications in insulation design in equipment such as HV capacitors?