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AP Physics C: E&M
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current Circuits
IntermediateMCQMathematicalConceptual16.1k
Resistor bridge network connected to an ideal battery.
Resistor bridge network connected to an ideal battery.
An ideal battery of electromotive force \(\mathcal{E}\) is connected to a bridge network of five resistors as shown. The upper-left resistor has resistance \(R_1 = R\), the lower-left resistor has resistance \(R_3 = 2R\), the upper-right resistor has resistance \(R_2 = 2R\), and the lower-right resistor has resistance \(R_4 = R\). A central resistor with resistance \(R_5 = R\) connects junction C (between \(R_1\) and \(R_2\)) to junction D (between \(R_3\) and \(R_4\)). What is the electric potential at junction C relative to the grounded negative terminal of the battery, and what is the direction of the electric current through resistor \(R_5\)?

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