(Solution) - The space between the plates of a parallel plate capacitor is -(2025 Original AI-Free Solution)

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The space between the plates of a parallel-plate capacitor is filled consecutively with two dielectric layers 1 and 2 having the thicknesses d1 and d2 and the permittivities el and ?2 respectively. The area of each plate is equal to S. Find:
(a) The capacitance of the capacitor;
(b) The density a' of the bound charges on the boundary plane if the voltage across the capacitor equals V and the electric field is directed from layer 1 to layer 2.