A very thin plastic rod of length L is rubbed with cloth and becomes uniformly charged with a total charge of -Q.
Consider an arbitrary piece of rod of length dx located at a position x on the rod. Find an expression for the electric field dE at observation location * a distance d to the right of the rod and a distance h above the horizontal axis as indicated. Use a coordinate system in which the origin is located at the left end of the rod and +x points right. When entering your solutions, use k for Coulomb's constant.
dEx =
dEy =
dEz =
Calculate the x-component of the net electric field, Ex, at the location * by integration:
Ex =