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AP Physics 2
10.6 Capacitors
10.4 Electric Potential Energy
AdvancedMCQMathematicalProportional AnalysisConceptual13.8k
A schematic diagram showing a parallel-plate capacitor connected to a battery of potential difference V_0. Two horizontal parallel conducting plates of length L and separation distance d are shown in side profile. The top plate is connected to the positive terminal of the battery, and the bottom plate is connected to the negative terminal. A rectangular dielectric slab of thickness d and dielectric constant \kappa is partially inserted between the plates from the right side to an insertion distance x. A dashed vertical line marks the left edge of the dielectric slab inside the plates at distance x from the right plate edge. An arrow labeled x extends horizontally from the right plate edge to the left edge of the dielectric slab. No other labels, lines, text, or axes appear.
A dielectric slab partially inserted into a parallel-plate capacitor connected to a battery.
A parallel-plate capacitor with plate length \(L\), width \(w\), and plate separation \(d\) is connected to a battery that maintains a constant potential difference \(V_0\). A slab of dielectric material with dielectric constant \(\kappa > 1\) and thickness \(d\) is partially inserted a distance \(x\) between the plates, as shown in the diagram. How does the magnitude of the electrostatic force exerted on the slab at insertion distance \(x_1 = \dfrac{1}{4}L\) compare to the magnitude of the electrostatic force at insertion distance \(x_2 = \dfrac{3}{4}L\), and what is the physical reasoning for this comparison?

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