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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
AdvancedMCQGraphicalMathematicalProportional AnalysisConceptual25.1k
Current versus time for the RC circuit before and after dielectric insertion.
Current versus time for the RC circuit before and after dielectric insertion.
An uncharged parallel-plate capacitor is connected in series with a resistor of resistance \(R\) and an ideal DC voltage source of constant potential difference \(V_0\). At time \(t = 0\text{ ms}\), a switch is closed to begin charging the capacitor. At time \(t = 5\text{ ms}\), after the circuit has reached a steady state, a dielectric slab is rapidly inserted between the plates of the capacitor while it remains connected to the voltage source. The current \(I\) through the resistor as a function of time \(t\) is shown in the graph. Based on the graph, what is the dielectric constant \(\kappa\) of the inserted material?

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