(Solved): Four charges are brought from infinity and configured as shown in the diagram below. The magnitude ...

Four charges are brought from infinity and configured as shown in the diagram below. The magnitude of each charge, $Q=5.00\mathrm{nC}$ and the distance, $d=4.00\mathrm{cm}$. a) What is the potential energy of the configuration? b) Determine the magnitude and direction of the electric field at the field point $P$ due to the charge configuration. c) Determine the electric potential at the field point $P$ (relative to zero at infinity) due to the charge configuration. A negative charge of magnitude $4.00\mathrm{nC}$ is now brought from a very distant point and placed at the field point $P$. d) Determine the magnitude and direction of the electric force on this charge at the field point $P$ due to the presence of the other charges in the configuration. e) Calculate the work done to bring this charge to the field point $P$ from the distant point.