The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oniented parallel to following as necessary: E for the magnitude of the electric field.) (a) In symbolic form, find the electric flux through face O. (b) In symbolic form, find the electric flux through in . (e) In symbolic form, find the electric flux through face .

Consider a spherical shell with radius R and surface charge density a= ao cos 0, where is the polar angle in spherical coordinates and the shell is centered at the origin. a) Without computing any integral, argue why is the total charge carried by the shell zero. b) Evaluate the charge carried by the upper hemisphere, in terms of 0.

We have calculated the electric field due to a uniformly charged disk of radius R, along its axis. Note that the final result does not contain the integration variable r: R. Q/A 2€0 Edisk (x² +R*)* Edisk perpendicular to the center of the disk Uniform Q over area A (A=RR²) Show that at a perpendicular distance R from the center of a uniformly negatively charged disk of CA and is directed toward the disk: Q/A radius R, the electric field is 0.3- 2€0 4.4.1b

The figure below represents the top view of a cubic gausslan surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle 8 with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as necessary: E for the magnitude of the electric field.) E (a) In symbolic form, find the electric flux through face 1. PE ← (b) In symbolic form, find the electric flux through in 2. (c) In symbolic form, find the electric flux through face 3. (d) In symbolic form, find the electric flux through face 4. (e) In symbolic form, find the electric flux through the top and bottom faces of the cube. (ⓇE) top a. battom (f) What is the net electric flux through the cube? (8) How much charge is enclosed within the gaussian surface?

Positive Charge Q for x<0 and negative charge -2Q for x>0 is uniformaly distributed around a semi-circle of raduis R as shown in the figure. Find the x-component of the the electric field at the center of curvature.

Gaussian surface 1 has twice the area of Gaussian surface 2. Both surfaces enclose the same charge Q. Is the electric flux through surface 1 greater than, less than, or the same as the electric flux through surface 2?

The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as necessary: E for the magnitude of the electric field.) (a) In symbolic form, find the electric flux through face 1. ΦΕ = (b) In symbolic form, find the electric flux through in 2. ΦΕ = (c) In symbolic form, find the electric flux through face 3. ΦΕ = (d) In symbolic form, find the electric flux through face 4. ΦΕ (e) In symbolic form, find the electric flux through the top and bottom faces of the cube. E E 1 = top bottom = = = (f) What is the net electric flux through the cube? ΦΕ (g) How much charge is enclosed within the gaussian surface? 9 in