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please solving using integration, while deriving the electric potential for both inifinite charged sheets and charge spherical shell (center).

A sphere between planes
A spherical shell with radius R and surface charge
density o is sandwiched between two infinite sheets
with surface charge densities -o and o, as shown in
Fig. 2.46. If the potential far to the right at x = +o is
taken to be zero, what is the potential at the center
of the sphere? At x = -0?
R
Figure 2.46.

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Problem 4: who is right? Two parallel, infinite planes of charge have charge densities +20 and -o as shown in Fig. 1 They are at a distance L, from each other. Three students are asked to determine the electric field at points A and B, at a distance L above the top plane, and at a distance L below the bottom plane, respectively, as shown in the figure. Each student comes up with a different answer and a different explanation. Read carefully their statements below. The students are reminded that the electric field magnitude of an infinite plane of charge with charge density a is E = . +26 3+26 Figure 1: Two cquivalent views of the two infinite parallel planes • Student 1 draws the sketch in Fig. 2 [top] and says: "I think from the outside we can think of the two planes as a single infinite plane with charge density +20 - o =0, so then we know the electric field must be a/(2) pointing upwards at point A and also o/(2c) pointing doumwards at B". • Student 2 draws the sketch in Fig. 2…