An infinite sheet of charge, oriented perpendicular to the

An infinite sheet of charge, oriented perpendicular to the x-axis, passes through x = 0. It has a surface charge density σ ₁ = -4.8 μC/m ² . A thick, infinite conducting slab, also oriented perpendicular to the x-axis occupies the region between a = 2.2 cm and b = 4.4 cm. The conducting slab has a net charge per unit area of σ ₂ = 83 μC/m ² .

a.) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 8.9 cm from the infinite sheet of charge?

b.) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.1 cm from the infinite sheet of charge?

c.) What is σ _b , the charge per unit area on the surface of the slab located at x = 4.4 cm?

d.) What is σ _a , the charge per unit area on the surface of the slab located at x = 2.2 cm?