Final answer:
The charges are arranged in a square with side length 40 cm. The electric potentials of charges A, B, C, and D can be calculated using the formula V = kQ/r.
Step-by-step explanation:
In this case, the four charges are arranged in a square with side length 40 cm. Let's call the charges A, B, C, and D. The charges can be represented as: charge A = kQ/40², charge B = 2kQ/40², charge C = 3kQ/40², and charge D = 4kQ/40².
The charges A, B, C, and D are arranged in the corners of the square, while the charge Q is located at the center. The distance from the charge Q to each corner is equal to the length of the side of the square, which is 40 cm.
The formula for electric potential due to a point charge is V = kQ/r, where V is the electric potential, k is the Coulomb's constant, Q is the charge, and r is the distance from the charge to the point where the electric potential is being calculated.
From the context, it seems that the question is related to determining the electric field, potential, or force among charges arranged in a square configuration, which is a classic problem in electrostatics, covered in high school or first-year college physics courses (AP Physics or equivalent). The provided details suggest a scenario where charges are interacting according to Coulomb's Law and possibly questions about the resultant forces, potential energy, or electric flux.