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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
AdvancedMCQMathematical13.9k
Schematic of the multi-loop circuit containing two batteries and three resistors.
Schematic of the multi-loop circuit containing two batteries and three resistors.
A circuit consists of three vertical parallel branches connected at the top by a single horizontal conductor and at the bottom by another horizontal conductor. The left branch contains an ideal battery of emf \(\mathcal{E}_1 = 2\mathcal{E}_0\) in series with a resistor of resistance \(R\), with the battery's positive terminal pointing toward the top conductor. The middle branch contains a single resistor of resistance \(2R\). The right branch contains an ideal battery of emf \(\mathcal{E}_2 = \mathcal{E}_0\) in series with a resistor of resistance \(R\), with this battery's positive terminal also pointing toward the top conductor. What is the magnitude and direction of the electric current through the rightmost branch?

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