Gauss' Law

The picture above illustrates Gauss' Law. We have 3 charges, 1 negative and 2 positive. We enclosed them separately and together to illustrate the flux going through the surfaces. Gauss' Law is charge enclosed over epsilon not (8.854 * 10^-12).

In this picture we say that q is similar to flux and that flux is equal to the integral of E*cos(theta)*da. We also found the units of our electric constant and our energy field.

The top 4 pictures are of an experiment that Professor Mason did in class. He demonstrated the charge inside and outside of a gated cylinder. A negative charge was sent into the cylinder. My assumption was that nothing would happen to the pieces of foil inside and outside of the cylinder. I was wrong though since I did not realize that the cage was essentially charging those pieces on the outside, and eventually they would be fully charged with a negative charge and would then be repelled by the negatively charged cage. The pieces of foil on the inside were unaffected since the charge of the cage goes outwards.

We assumed that if you were in your car during a lightning storm you should stay inside of the car. I assumed this since the charge should go outward and that the tires were acting as insulators, passing the charge to the ground around you, meaning you should definitely not get out.

In the top two pictures we were answering questions regarding the area, circumference, area, and volume of a sphere. We wrote how a change in radius would affect the volume or area. We also noted that the dot product between E and dA is the same as EdA because the vectors are parallel since the electric field vector is normal to the plane.

The two videos above show the effect of the electric field created by the microwave onto the various metal objects placed into it. The steel wool, which I unfortunately do not have a video/picture of, sparked at its ends. The fork had sparks at it's tips. The CD sparked on the shiny side of the disk, since that is the metal part. The filaments inside of the light bulb lit up and heats up the argon gas inside of the bulb which creates the light we see in the video.

We found the electric field for a cylinder with charge density lambda. First we found the surface area, which we did in the top picture. We were able to drop the 2*pi*r^2 since the top and bottom of the cylinder would cancel out, which left us with 2*pi*r*L. We plugged everything in to find the electric field on the bottom right.

In this picture we found the gravity of the earth by using the gravitational form of Gauss' Law.