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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
11.3 Resistance, Resistivity, and Ohm’s Law
IntermediateMCQMathematicalConceptual19.9k
A schematic diagram of a DC bridge circuit in a rectangular layout. On the far left vertical segment, a DC voltage source is labeled \(\mathcal{E} = 36\text{ V}\) with a longer horizontal line on top (positive) and a shorter thicker horizontal line on bottom (negative). From the top of the battery, a wire extends rightward to a junction that splits into an upper horizontal path and a lower horizontal path. The upper path contains two series resistors: \(R_1 = 10\text{ }\Omega\) on the left and \(R_2 = 20\text{ }\Omega\) on the right, with a node labeled X between them. The lower path contains two series resistors: \(R_3 = 15\text{ }\Omega\) on the left and \(R_4 = 30\text{ }\Omega\) on the right, with a node labeled Y between them. A vertical wire connects node X directly to node Y, containing a resistor labeled \(R_5 = 50\text{ }\Omega\). To the right of \(R_2\) and \(R_4\), the two paths rejoin at a single junction, which connects via a returning bottom wire to the negative terminal of the battery. No other labels, lines, text, or axes appear.
Resistor bridge circuit connected to a 36 V battery.
A bridge circuit is connected to an ideal battery of emf \(\mathcal{E} = 36\text{ V}\), as shown in the diagram. The circuit consists of five resistors with resistances \(R_1 = 10\text{ }\Omega\), \(R_2 = 20\text{ }\Omega\), \(R_3 = 15\text{ }\Omega\), \(R_4 = 30\text{ }\Omega\), and a central bridge resistor \(R_5 = 50\text{ }\Omega\). What is the total electric current delivered to the circuit by the battery?

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