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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.2 Simple Circuits
AdvancedMCQConceptual21.2k
A circuit schematic diagram drawn with clean black lines. On the far left, a vertical DC voltage source is labeled \(\Delta V_0\), with its positive terminal at the top and negative terminal at the bottom. A wire extends from the positive terminal to a top-left node X. From node X, a horizontal segment containing resistor \(R_1\) connects to node Y. From node Y, the path divides into two parallel vertical branches. The left vertical branch contains resistor \(R_2\) leading down to the bottom wire connected to the negative terminal. The right vertical branch contains resistor \(R_3\) leading down to intermediate node Z, followed by resistor \(R_4\) leading from node Z down to the bottom wire. A dashed line labeled 'Accidental wire' connects node X directly to node Z. No other labels, lines, text, or axes appear.
Circuit schematic showing intended resistor network and accidental fault wire.
An ideal battery with potential difference \(\Delta V_0\) is connected to four identical resistors, each of resistance \(R\), labeled \(R_1, R_2, R_3,\) and \(R_4\). In the intended circuit design, resistor \(R_1\) is connected in series with a parallel network consisting of two branches: one branch containing \(R_2\), and the second branch containing \(R_3\) and \(R_4\) in series. During assembly, an extra wire is accidentally connected between the positive terminal of the battery and the junction between \(R_3\) and \(R_4\). Which of the following claims correctly compares the actual current through resistor \(R_4\) to the intended design current, and provides the correct justification?

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