A capacitor is formed by two square metal-plates of edge a, separated by a distance d. Dielectrics of dielectric constants K₁ and K₂ are filled in the gap as shown in figure. Find the capacitance.

Question

G1 Physics · Accepted Answer

Use Q = CV, U = ½CV² and C = εA/d; reduce the capacitor network by series/parallel combination and apply charge conservation where a node is isolated. The result matches A (C = [ε₀ak₁k₂/(d(k₁-k₂))] ln(k₁/k₂)).