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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
IntermediateMCQMathematicalProportional AnalysisConceptual22.9k
Circuit with an ideal battery, three identical resistors, and two switches.
Circuit with an ideal battery, three identical resistors, and two switches.
An electric circuit contains an ideal battery of potential difference \(\varepsilon\) connected to three identical resistors, each of resistance \(R\), and two switches, \(S_1\) and \(S_2\). Resistor \(R_1\) is connected in series with a parallel combination of two branches: one branch containing switch \(S_1\) and resistor \(R_2\), and the other branch containing switch \(S_2\) and resistor \(R_3\). Initially, switch \(S_1\) is closed and switch \(S_2\) is open. Switch \(S_2\) is then closed.

OptionTotal Current \(I_{\text{total}}\)Potential Difference \(\Delta V_1\)Power Dissipated \(P_2\)
(A)DecreasesDecreasesIncreases
(B)IncreasesDecreasesIncreases
(C)IncreasesIncreasesIncreases
(D)IncreasesIncreasesDecreases

Which row in the table correctly describes what happens to the total current supplied by the battery, the potential difference across resistor \(R_1\), and the rate of energy dissipation in resistor \(R_2\)?

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