2005B3 Two point charges are fixed on the y -axis at the locations shown in the figure above. A charge of +q is located at y=+a and a charge of +2q is located at y=−a. Express your answers to parts a. and b. in terms of q,a, and fundamental constants.
a. Determine the magnitude and direction of the electric field at the origin.
b. Determine the electric potential at the origin.
A third charge of -q is first placed at an arbitrary point A(x=−xo) on the x -axis as shown in the figure below.
c. Write expressions in terms of q,a,x0, and fundamental constants for the magnitudes of the forces on the -q charge at point A caused by each of the following.
i. The +q charge
ii. The +2q charge
d. The -q charge can also be placed at other points on the x -axis. At each of the labeled points ( A,B, and C) in the following diagram, draw a vector to represent the direction of the net force on the -q charge due to the other two charges when it is at those points.
