Flux

Above we see what would happen if an electron went in between two plates, one being positive and one being negative. We see that the electron would slowly go toward the positive plate and go away from the negative plate. On the right we see a dipole with two charges on it, and arrows illustrating an electric field. The dipole would want to straighten out since the field would cause the positive charge to go right and the negative charge to go left.

Here are a few equations we derived for torque. We found that the sum of torque is the cross product between the dipole moment vector and the electric field vector. On the bottom right we have some equations for work.

The above picture illustrates what we thought the program provided by Professor Mason would do ( in red ) and the correct path those vectors should take (in green). There is a positive charge (red small circle) and a negative charge (green small circle).

The picture above is the program Professor Mason provided modified to show how the field should look in 3 dimensions. The original program, prior to adding the Z axis, would draw the orange arrows.

The picture above shows the flow of the electric field between a positive and negative charge. Professor Mason added the blue negative charge to our illustration, and on the bottom right we show what affect that would have. The two negative charges would repulse one another.

First we found the units for flux in the top right corner then we determined the normal vectors for the objects drawn.

In the picture above we calculate flux on a box. In 3 dimensions it was hard to illustrate so we opened the box up. 4 of the sides of the box were parallel with the electric field so flux would be zero. We also see that the two sides affected by the field, colored in green, would cancel each other out, meaning that the total flux of the box would be zero.