A charge Q = -16 x 10 coulomb is fixed on the x-axis at +4.0 meters, and a charge Q = +9 x 10 coulomb is fixed on the y-axis at + 3.0 meters, as shown on the diagram above.
(a) i. Calculate the magnitude of the electric field E at the origin O due to the charge Q.
ii. Calculate the magnitude of the electric field E at the origin O due to the charge Q.
iii. On the axes below, draw and label vectors to show the electric fields E and E due to each charge, and also indicate the resultant electric field E at the origin.
(b) Calculate the electric potential V at the origin.
A charge Q = -4 x 10 coulomb is brought from a very distant point by an external force and placed at the origin.
(c) On the axes below, indicate the direction of the force on Q at the origin.
(d) Calculate the work that had to be done by the external force to bring Q to the origin distant point.