Area, A E2 (free-space) (dielectric) Parallel plate capacitors are widely used in many applications, including personal computers, memory cards, keyboards, and other electronic circuits and devices. Given the parallel plate structure as shown in figure above, where two metallic plates each with surface area, A. The upper metallic plate is located in a free space region in series with a solid dielectric material of thickness d and relative permittivity & Assume that the x= d interface has no surface charge distribution and neglect fringing fields effects from edges of the parallel plate structure. a) (15 points) Determine the electric field intensity Ey in the dielectric region. b) (5 points) In which direction does increasing electric potential take place within the dielectric region (lower to upper direction or upper to lower direction)? c) (2.5 points) Which command would you use in MATLAB to visualize electric flux lines? how would electric flux lines look like for this structure? provide clear explanation or a sketch. d) (2.5 points) Which command would you use in MATLAB to visualize equipotential lines? how would equipotential lines look like for this structure provide clear explanation or a sketch. Area, A E2 (free-space) (dielectric) Parallel plate capacitors are widely used in many applications, including personal computers, memory cards, keyboards, and other electronic circuits and devices. Given the parallel plate structure as shown in figure above, where two metallic plates each with surface area, A. The upper metallic plate is located in a free space region in series with a solid dielectric material of thickness d and relative permittivity & Assume that the x= d interface has no surface charge distribution and neglect fringing fields effects from edges of the parallel plate structure. a) (15 points) Determine the electric field intensity Ey in the dielectric region. b) (5 points) In which direction does increasing electric potential take place within the dielectric region (lower to upper direction or upper to lower direction)? c) (2.5 points) Which command would you use in MATLAB to visualize electric flux lines? how would electric flux lines look like for this structure? provide clear explanation or a sketch. d) (2.5 points) Which command would you use in MATLAB to visualize equipotential lines? how would equipotential lines look like for this structure provide clear explanation or a sketch