Partially Filled Capacitor

A capacitor is an electrical device that stores energy. Between its two plates a capacitor can be filled with some material or evacuated to leave a vacuum. A partially filled capacitor is equivalent to two capacitors connected in a series, one with the material and the other empty.

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The capacitance is

(1/C)=(1-k)(d/((Subscript[ϵ, 0])A))+k(d/(κ (Subscript[ϵ, 0])A)),

where k is the percentage of the capacitor filled, d the separation between the original plates, κ the dielectric constant, and (Subscript[ϵ, 0]) the permittivity in a vacuum. Simplifying,

C=((A κ (Subscript[ϵ, 0]))/(d (k+κ(1-k )))).

In this example, A=(10^(-4))(m^2) and d=(10^(-3))m.

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Contributed by: Enrique Zeleny

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