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AP Physics 2
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
AdvancedMCQMathematicalConceptual13.7k
A schematic diagram of a dual-loop rectangular circuit with three parallel vertical branches connected by top and bottom horizontal lines. The left vertical branch contains an ideal battery labeled \(\varepsilon\) with the long positive line at the top, in series above a resistor labeled \(R\); a vertical arrow pointing upward next to this branch is labeled \(I_1\). The middle vertical branch contains a resistor labeled \(R\) in series with a closed switch labeled \(S_1\); a vertical arrow pointing downward next to this branch is labeled \(I_2\). The right vertical branch contains an ideal battery labeled \(\varepsilon\) with the long positive line at the top, in series with a resistor labeled \(R\) and an open switch labeled \(S_2\). All resistors are represented by standard zig-zag lines. No other labels, lines, text, or axes appear.
Circuit schematic with switches S1 and S2.
An electric circuit consists of two ideal batteries, each with potential difference \(\varepsilon\), three identical resistors of resistance \(R\), and two switches, \(S_1\) and \(S_2\), connected as shown in the diagram. Switch \(S_1\) is initially closed while switch \(S_2\) is open, resulting in branch currents \(I_1\) through the left battery and \(I_2\) through the middle resistor. Switch \(S_2\) is then closed.

ChoiceCurrent \(I_1\)Current \(I_2\)
AIncreasesDecreases
BIncreasesIncreases
CDecreasesDecreases
DDecreasesIncreases

Which choice correctly describes the changes in the magnitudes of currents \(I_1\) and \(I_2\) after switch \(S_2\) is closed?

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