Question 2
3 pts
In this exercise, you will calculate it by hand for a small number of pieces. In later exercises, you will use a computational tool that is far more efficient.
To numerically compute the electric field at a point in space due to a uniformly charged rod, you must break the rod into small pieces and treat each piece as a point particle. Then, calculate the electric field due to each piece and use superposition to get the net electric field at the given point in space.
You have a vertically oriented rod of total charge $Q = 1\mu C$, centered at the origin with a length of $L = 1$ m. Break each half of the rod into 3 pieces for a total of 6 pieces.
1. Calculate the y-coordinate of the center of each piece, $y_i$.
2. Calculate the x-component of the electric field created by each piece of the rod at the location $(\vec{x} = 0.1, 0, 0)$ m by treating each piece as a point particle.
3. Calculate the y-component of the electric field created by each piece of the rod at the location $(\vec{x} = 0.1, 0, 0)$ m after that.
4. Calculate the net electric field created by all six pieces of the rod at the location $(\vec{x} = 0.1, 0, 0)$ m. Enter your answer below.
