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AP Physics 2
11.6 Kirchhoff’s Loop Rule
IntermediateMCQMathematical23.7k
A circuit schematic displaying a rectangular multi-loop layout with two adjacent loops sharing a central vertical wire. The outer perimeter forms a horizontal rectangle. The left vertical branch contains a battery labeled \(\varepsilon_1\) with its longer positive plate on top and shorter negative plate below, and a resistor labeled \(R_1\) above the battery. An upward arrow beside this branch is labeled \(I_1\). The central vertical branch contains a resistor labeled \(R_2\), with a downward arrow beside it labeled \(I_2\). The right vertical branch contains a resistor labeled \(R_3\) on top and a battery labeled \(\varepsilon_2\) below it with its longer positive plate on top and shorter negative plate below. An upward arrow beside the right branch is labeled \(I_3\). No other labels, lines, text, or axes appear.
Multi-loop circuit diagram.
A multi-loop circuit consists of two ideal batteries with electromotive forces \(\varepsilon_1\) and \(\varepsilon_2\), and three resistors with resistances \(R_1\), \(R_2\), and \(R_3\), as shown in the schematic diagram. The currents in the three branches are defined as \(I_1\), \(I_2\), and \(I_3\), with directions indicated by the arrows. Which of the following equations correctly expresses Kirchhoff's loop rule for the outer loop when traversed in a clockwise direction?

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