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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
AdvancedMCQMathematicalConceptual19.8k
A rectangular circuit diagram with two adjacent rectangular meshes sharing a central vertical wire. The outer perimeter and central divider form three vertical parallel branches connected by continuous top and bottom horizontal wires. The left vertical branch contains a battery with emf labeled \(\varepsilon_1\) (represented by two parallel horizontal plates with the longer plate on top) above a resistor labeled \(R_1\). The central vertical branch contains a single resistor labeled \(R_2\). The right vertical branch contains a battery with emf labeled \(\varepsilon_2\) (longer plate on top) above a resistor labeled \(R_3\). Solid dots indicate the top and bottom junction nodes. No other labels, lines, text, or arrows appear.
Two-mesh circuit with two batteries and three resistors.
A circuit contains two ideal batteries with emfs \(\varepsilon_1\) and \(\varepsilon_2\), and three resistors with resistances \(R_1\), \(R_2\), and \(R_3\), arranged in a two-mesh network as shown. Both batteries are oriented with their positive terminals connected toward the upper conductor. In terms of the given quantities, which of the following expressions is equal to the magnitude of the downward current \(I_2\) through resistor \(R_2\)?

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