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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
AdvancedMCQMathematical23.4k
Cross section of the cylindrical capacitor.
Cross section of the cylindrical capacitor.
A cylindrical capacitor of length \(L\) consists of a solid conducting inner cylinder of radius \(a\) and a thin conducting outer cylindrical shell of radius \(c\). The space between the conductors is filled with two coaxial cylindrical layers of dielectric materials: the inner layer from radius \(a\) to radius \(b\) has dielectric constant \(\kappa_1\), and the outer layer from radius \(b\) to radius \(c\) has dielectric constant \(\kappa_2\). Assuming edge effects are negligible (\(L \gg c\)), which of the following expressions represents the capacitance of this capacitor?

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