A battery with internal resistance \(r = 2.0\text{ }\Omega\) is connected in a single closed loop to a resistor \(R_1 = 4.0\text{ }\Omega\) and an unknown resistor \(R_X\). A voltmeter connected across the terminals of the battery reads \(10.0\text{ V}\), while a second voltmeter connected across \(R_1\) reads \(4.0\text{ V}\). What is the resistance of resistor \(R

AP Physics 2

11.6 Kirchhoff’s Loop Rule

11.5 Compound Direct Current (DC) Circuits

11.3 Resistance, Resistivity, and Ohm’s Law

IntermediateMCQMathematicalConceptual13.3k

Circuit diagram showing the battery, resistors, and voltmeters.

A battery with internal resistance \(r = 2.0\text{ }\Omega\) is connected in a single closed loop to a resistor \(R_1 = 4.0\text{ }\Omega\) and an unknown resistor \(R_X\). A voltmeter connected across the terminals of the battery reads \(10.0\text{ V}\), while a second voltmeter connected across \(R_1\) reads \(4.0\text{ V}\). What is the resistance of resistor \(R_X\)?

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