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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalConceptual16.2k
A schematic diagram of a DC circuit. On the left, a light gray rectangular dashed outline labeled 'Battery' encloses an ideal DC voltage source labeled \(\mathcal{E}\) connected in series with a small resistor labeled \(r\). Wires extend from the top and bottom of the battery box to a parallel network on the right. The parallel network consists of two vertical parallel branches: the left branch contains a resistor labeled \(R\), and the right branch contains a variable resistor labeled \(R_v\) with a diagonal arrow drawn through its rectangular symbol. No other components or text appear.
Circuit diagram containing a real battery and two parallel resistors.
A battery with emf \(\mathcal{E}\) and internal resistance \(r\) is connected in parallel to a fixed resistor \(R\) and a variable resistor \(R_v\). Initially, \(R_v = R\), and current flows through all components. The resistance of \(R_v\) is then continuously decreased to zero. Which of the following correctly describes what happens to the current \(I_R\) through the fixed resistor, and provides the correct justification?

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