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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
AdvancedMCQMathematicalConceptual16.9k
A circuit schematic showing an ideal 12 V battery on the far left connected across a bridge network of five resistors. The top wire from the positive battery terminal splits into two parallel branches. The left branch contains resistor R1 (2.0 ohms) on top connected in series at node A to resistor R2 (4.0 ohms) on the bottom. The right branch contains resistor R3 (4.0 ohms) on top connected in series at node B to resistor R4 (2.0 ohms) on the bottom. A central horizontal bridge segment contains resistor R5 (4.0 ohms) connecting node A to node B. The bottom wire returns from R2 and R4 to the negative terminal of the battery. Node A is clearly labeled between R1 and R2; node B is clearly labeled between R3 and R4. No other labels, lines, text, or axes appear.
Circuit schematic with five resistors and an ideal 12 V battery.
An ideal battery with potential difference \(\Delta V = 12\text{ V}\) is connected to a circuit consisting of five resistors, as shown in the diagram. Resistors \(R_1 = 2.0\text{ }\Omega\) and \(R_2 = 4.0\text{ }\Omega\) form the left branch, while resistors \(R_3 = 4.0\text{ }\Omega\) and \(R_4 = 2.0\text{ }\Omega\) form the right branch. A bridge resistor \(R_5 = 4.0\text{ }\Omega\) connects node \(\text{A}\) (between \(R_1\) and \(R_2\)) to node \(\text{B}\) (between \(R_3\) and \(R_4\)). What is the magnitude of the potential difference across resistor \(R_5\)?

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