Can you please show all work. The question ask about An infinite plane has a uni

ID: 1528713 • Letter: C

Question

Can you please show all work.

The question ask about An infinite plane has a uniform surface charge = 9 pC/m2.

A) Write the electric flux in terms of the charge Qenc enclosed by a closed surface passing through the sheet and fundamental constants.

B)) Calculate the magnitude of the electric field a height h = 443 m over the infinitely charged plane in V/m.

Also this Question says

Two parallel conducting plates are placed very close to each other. The first plate has a surface charge density of 1 = 2.75 C/m2.

A) Plate two has 1 trillion free electrons, what is its area in square meters?

B)What magnitude of force, in newtons, would a single electron experience in the region between the plates?

From Gauss's law the electric flux is = Q_enclosed/epsilon not

electric flux through a closed surface area = 1/epsilon not times the charge enclosed by the closed surface area.

B) electric field E = sigma /2 epsilon not

= (9*10^-12) / (2*8.854*10^-12) N/C
= 0.5082448610797 N/C

A) The first plate has a surface charge density of 1 = 2.75 C/m2.

we know that sigma = Q/A ==> A = Q/sigma

given that Q = 1*10^12 *1.6*10^-19 C

so area is A = 1*10^12 *1.6*10^-19 /2.75 m2 = 5.8181*10^-8 m2

F = E*q

= (sigma/ epsilon not)(q)

= (2.75/(8.854*10^-12))(1.6*10^-19) N

= 4.97*10^-8 N