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AP Physics C: E&M
10.4 Dielectrics
10.3 Capacitors
AdvancedMCQMathematicalProportional Analysis20.6k
A circuit schematic drawn in thin solid lines showing a single rectangular loop. On the left vertical segment is an ideal DC battery symbol consisting of two parallel horizontal lines, the longer line on top labeled + and the shorter thicker line on bottom labeled -, with the battery labeled \(V_0\). On the top horizontal wire segment are two capacitors connected in series, spaced horizontally apart. The left capacitor, labeled Capacitor 1, consists of two identical vertical parallel plates separated by an empty white gap labeled \(d\). The right capacitor, labeled Capacitor 2, consists of two identical vertical parallel plates of the same size, with the region between them completely filled with medium-gray diagonal hatching and labeled \(\kappa\). Solid conducting wires connect the battery and the two capacitors to form a closed rectangular loop. No other labels, lines, text, or symbols appear.
Two capacitors connected in series across a battery of potential difference \(V_0\), with a dielectric inserted into Capacitor 2.
Two identical air-filled parallel-plate capacitors, each with plate separation \(d\), are connected in series across an ideal battery that maintains a constant potential difference \(V_0\). With the battery remaining connected, a slab of dielectric constant \(\kappa > 1\) is inserted between the plates of one of the capacitors, completely filling the space between them. What is the ratio \(E_f / E_i\) of the electric field magnitude inside the unmodified capacitor after the slab is inserted to the electric field magnitude inside that same capacitor before the slab was inserted?

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