Tuesday, April 14, 2015

3/31 Gauss' Law

We drew the flux of 3 charges: 1 negative charge and 2 positive charges. We calculated the flux but did not divide out the epsilon not because it is a constant.

We related charge to flux by saying charge is equal to flux times a constant k and flux is equal to the closed integral of Ecostheta with respect to area. After drawing the relationship, we observed the behavior of their graph to see what kind of value we should yield for k.

This is a metal cylinder with plastic tape hanging off the inside and outside of the cylinder. This picture is the cylinder without charge. 

This is the what happens when a current is run through the metal material and it can be observed that the plastic on the outside of the cylinder is repelled and the plastic inside the cylinder remains the same.

This is our predictions for the lab and we were correct in predicting that nothing will happen to the plastic on the inside of the cylinder when there is a current run through the metal.

We found the relationship of how area, volume, and circumference change when radius changes. From this, we can derive a relationship between the change in volume (dV) and change in radius (dr).

We calculated the flux of an electric field going through a plane. Since the angle at which the electric field is perpendicular to the plane, we can say cosine will be 1 and are left with EdA which we then substitute using the dV formula found in the previous picture.

We use the gravitational force formula to draw comparisons to the Gauss' Law equation.

We are asked the question "Where is the safest place to be during a lightning storm". We chose the option to stay in your car because the rubber tires would act as insulators preventing the passengers inside the vehicle from being shocked.

We calculated for the surface area of a cylinder in order to derive the formula for flux in the next picture.

Using the calculated dA from the previous picture, we were able to derive a formula that calculates the electric field inside a cylinder.
Mason demonstrates how the electric field created by the microwave effects various metal objects when exposed to it. 


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