Mathematics · Electrostatics and Capacitance

Four identical rectangular plates, each of length l = 2 cm and breadth b = 32 cm, are arranged parallel to each other with a uniform separation d between consecutive plates. Plates 1 and 3 are connected to terminal A, and plates 2 and 4 are connected to terminal C. The equivalent capacitance between A and C is given by x ε0 Aplated where the net area of overlap equals the plate area. If the capacitance is expressed in terms of the form x ε0d (in cm units), what is the value of the integer factor x representing the number of parallel dielectric gaps effectively active in this parallel configuration?