A large sheet has charge density +σ0. A cylindrical Gaussian surface with a cap radius r encloses a portion of the sheet and extends a distance L0 on either side of the sheet. A is the area of the ends and As is the area of the curved side. Only a small portion of the sheet is shown:

Let EL and ER represent the magnitude of the electric field on the left and right ends of the Gaussian surface. How do the magnitudes and directions of EL and ER compare?

a. EL is different than ER because the charge will be accumulated on one of the surfaces of the sheet
b. EL and ER are pointing outwards the plane at 45∘ to the plane
c. EL and ER are perpendicular to the ends of the Gaussian surface and to the plane of the sheet
d. EL and ER are pointing outwards the plane
e. EL is pointing outward and ER is pointing inwards the plane
f. EL and ER are of the same magnitude

Which of the following statement(s) are true about the field you just derived?

a. The electric field outside the large charged sheet gets smaller as you move away from the sheet
b. The electric field outside the large charged sheet does not depend on the distance from the sheet
c. The potential difference between the sheet and any point outside the sheet will depend on the distance from the sheet
d. The potential difference between the sheet and any point outside the sheet will depend on the distance to the center of the sheet
e. The electric field outside the large charged sheet will be smaller if the charge density on it is higher
f. The electric field outside the large charged sheet will be larger if the charge density on it is higher