Equivalent Permittivity of Series Dielectrics
A parallel-plate capacitor with plate area A and separation distance d is filled with three stacked layers of dielectric material. The layers have equal thickness d/3 and respective permittivities of ε₁, ε₂, and ε₃. Determine the equivalent permittivity, εₑq, for this configuration.
A
εₑq = √(ε₁ε₂ε₃)
B
εₑq = ε₁ε₂ε₃/(ε₁ε₂ + ε₂ε₃ + ε₁ε₃)
C
εₑq = (ε₁ + ε₂ + ε₃)/3
D
εₑq = 3/(1/ε₁ + 1/ε₂ + 1/ε₃)
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