Consider a situation where a point charge q is located at the height of h above con- ducting ground. (The ground is in the potential V = 0.) (a) Calculate the force acting on the charge, assuming that the charge has a magnitude of q = +1 mC (which is 0.001 As), and the height is h = 1 m. What is the direction of the force? (Hint: the image principle might be helpful...) (b) Let's add another grounded conducting plane above the charge according to the figure, parallel to the original one, and the height d away from it. (In other words, now both planes are in the ground potential V = 0.) 2 Using again the image principle, find an equivalent charge constellation to replace the two conducting planes, such that the correct conductor boundary conditions are satisfied. (c) Compute the force acting on the charge in the case for d = 4h. Which direction is it? Is it larger or smaller than in the case of a single conductor?

Consider a situation where a point charge q is located at the height of h above con- ducting ground. (The ground is in the potential V = 0.) (a) Calculate the force acting on the charge, assuming that the charge has a magnitude of q = +1 mC (which is 0.001 As), and the height is h = 1 m. What is the direction of the force? (Hint: the image principle might be helpful...) (b) Let's add another grounded conducting plane above the charge according to the figure, parallel to the original one, and the height d away from it. (In other words, now both planes are in the ground potential V = 0.) 2 Using again the image principle, find an equivalent charge constellation to replace the two conducting planes, such that the correct conductor boundary conditions are satisfied. (c) Compute the force acting on the charge in the case for d = 4h. Which direction is it? Is it larger or smaller than in the case of a single conductor?