Problem 1 (40 points) Consider the three infinite sheets of constant surface charge density shown in Figure A below. The

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Problem 1 40 Points Consider The Three Infinite Sheets Of Constant Surface Charge Density Shown In Figure A Below The 1 (80.3 KiB) Viewed 50 times

Problem 1 (40 points) Consider the three infinite sheets of constant surface charge density shown in Figure A below. The sheets are parallel with the y-z plane. Two sheets with surface charge density -o are at x = 0 and r = 4d, respectively. The third sheet, with surface charge density +20, is at = +5d. Figure A -0 -o +20 P P3 х 4d nd x = 0 (a) What is the electric field vector Ē, at the point P at x = +3.5d on the x-axis? (b) What is the electric field vector Ē, at the point P, at r = +4.5d on the x-axis? (c) What is the electric field vector Ēs at the point Pz at r= +6d on the x-axis? (d) Let us set the potential V(x = 0) = 0. What is the electric potential at r = +4d and = +5d? (e) Plot the potential V(x), as a function of x over the range 0 < x <6d. Make sure to label important points on the x and y axes of your plot so that your plot is legible. (f) Now a conducting slab with total surface charge density -20 is inserted in between the negatively charged plates, as shown in Figure B below. What are the surface charge densities of and or on the left and right surfaces of the slab, respectively? Figure B -20 -O +20 -0 OR OL P/ P2 P3 X 2d-> -d x = 0