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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.3 Resistance, Resistivity, and Ohm’s Law
IntermediateMCQMathematicalProportional AnalysisConceptual25.1k
Circuit schematic with four resistors, a switch, and an ideal battery.
Circuit schematic with four resistors, a switch, and an ideal battery.
In the circuit shown, an ideal battery of potential difference \(\varepsilon\) is connected to four resistors. The top branch contains Resistor 1 of resistance \(R\) in series with Resistor 2 of resistance \(3R\). The bottom branch contains Resistor 3 of resistance \(3R\) in series with Resistor 4 of resistance \(R\). A switch \(S\) connects the node between Resistors 1 and 2 to the node between Resistors 3 and 4. What is the ratio \(\dfrac{\Delta V_{\text{after}}}{\Delta V_{\text{before}}}\) of the electric potential difference across Resistor 2 after switch \(S\) is closed to the electric potential difference across Resistor 2 before switch \(S\) is closed?

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