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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
11.5 Compound Direct Current (DC) Circuits
IntermediateMCQMathematicalConceptual14.2k
A schematic diagram of an electric circuit with a rectangular loop structure. On the far left vertical branch is a DC battery with potential difference labeled \(\mathcal{E} = 18\text{ V}\), oriented with its long positive terminal line on top and short negative terminal line on the bottom. Connected in series along the top horizontal wire, immediately to the right of the battery, is an open switch labeled \(\text{S}\), followed by a resistor labeled \(R_1 = 3\text{ }\Omega\). To the right of \(R_1\), the circuit splits into two parallel vertical branches. The first vertical parallel branch contains a resistor labeled \(R_2 = 6\text{ }\Omega\). The second vertical parallel branch, located further to the right, contains a resistor labeled \(R_3 = 6\text{ }\Omega\) in series with a capacitor labeled \(C = 4.0\text{ }\mu\text{F}\) positioned below \(R_3\). All branches reconnect at the bottom horizontal wire, returning to the negative terminal of the battery. No other labels, lines, text, or axes appear.
Circuit schematic containing a battery, three resistors, a switch, and a capacitor.
An ideal battery with emf \(\mathcal{E} = 18\text{ V}\) is connected in a circuit with three resistors (\(R_1 = 3\text{ }\Omega\), \(R_2 = 6\text{ }\Omega\), and \(R_3 = 6\text{ }\Omega\)), an initially uncharged capacitor \(C = 4.0\text{ }\mu\text{F}\), and an open switch \(\text{S}\), as shown in the schematic diagram. Switch \(\text{S}\) is closed at time \(t = 0\). What is the potential difference across resistor \(R_1\) a long time after switch \(\text{S}\) is closed?

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