Electrostatics Homework

1. A flat circular disk of radius a0 has a uniform surface charge density The disk is surrounded by a sphere of radius R>a0. What is the flux through the surrounding sphere? (Hint: For a uniform surface charge, you can find the total charge by multiplying the charge density times the surface area.)

2. A flat circular disk of radius b with a surface charge density is surrounded by a sphere of radius R. The flat disk is located at the origin lying in the x-y plane, which means on the surface of the disk the angle is a constant 90 degrees with respect to the z-axis. What is the flux through the surrounding sphere? (Hint: For a non-uniform surface charge, you can find the total charge by taking the surface integral where varies over the surface of the disk. Choose an appropriate area element, da, in spherical coordinate system.

3. A cube of side L contains a plane slab of thickness H<L and surface area L2. The slab has a uniform volume charge density What is the total electric flux through the walls of the cube?

From Fleisch Textbook:

4. Problem 1.4: Do not find the electric flux, instead find the electric field both inside and outside the sphere.

5. Problem 1.9

6. Problem 1.10

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