APFIVE Capacitor with Linearly Varying Dielectric
A parallel-plate capacitor has a plate area A and a separation distance d. The space between the plates is filled with a dielectric material whose constant κ varies linearly from κ₁ at one plate to κ₂ at the other. What is the capacitance of the capacitor?
A
ε₀A(κ₂-κ₁)/[d·ln(κ₂/κ₁)]
B
ε₀A√(κ₁κ₂)/d
C
ε₀A(κ₁+κ₂)/(2d)
D
ε₀A/(d·ln(κ₂/κ₁))
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