A point charge, +Q, is placed at a distance r from an infinite conducting plane. When this charge is brought near the plane, it induces a surface charge distribution on the plane. To analyze the electric field generated by this system, we can employ the method of image charges.
Assuming the conducting plane lies along the x-axis and the point charge is located at (0, 0, r), what would be the effective position and magnitude of the image charge that we introduce in order to simplify our calculations?