APFIVE Equivalent Permittivity of Series Dielectrics
A parallel plate capacitor with plate area A and separation d is filled with three different dielectric materials of equal thickness d/3 and permittivities ε₁, ε₂, and ε₃. What is the equivalent permittivity of this arrangement?
A
εₑq = ε₁ε₂ε₃/(ε₁ε₂ + ε₂ε₃ + ε₁ε₃)
B
εₑq = 3/(1/ε₁ + 1/ε₂ + 1/ε₃)
C
εₑq = (ε₁ + ε₂ + ε₃)/3
D
εₑq = √(ε₁ε₂ε₃)
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