Four metallic plates of face area A, separated by d and connected as in the diagram, have intervening dielectrics K = 4/3, K = 3 and K = 1 with one sub-area A/2 as indicated. Their equivalent capacitance between a and b is nε₀A/d. Find n.
Physics · Mixed Chapter
JEE Mains

Question

Four metallic plates of face area A, separated by d and connected as in the diagram, have intervening dielectrics K = 4/3, K = 3 and K = 1 with one sub-area A/2 as indicated. Their equivalent capacitance between a and b is nε₀A/d. Find n.

Physics · Mixed Chapter

G1 Physics · Accepted Answer

Explanation: From the plate connections, first identify which dielectric-layer capacitances lie between the same two conducting nodes. Add parallel parts and reduce series parts using C=κε₀A/d, with A/2 for the labeled section. The resulting coefficient is n=2. Source image is needed to preserve the area split.