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AP Physics 2
11.5 Compound Direct Current (DC) Circuits
11.3 Resistance, Resistivity, and Ohm’s Law
11.1 Electric Current
IntermediateMCQMathematicalConceptual25.2k
A single-loop circuit diagram drawn with clean black lines on a white background. On the left side, a battery source is represented within a dashed rectangular box containing an ideal voltage source symbol labeled \varepsilon = 6.0\text{ V} and a resistor symbol labeled r. On the right side, an external resistor symbol labeled R = 4.0\text{ }\Omega is connected in series with the battery via horizontal wire segments at the top and bottom. A small arrow along the top wire indicates conventional current I flowing clockwise. No other labels, lines, text, or axes appear.
Circuit schematic with battery and external resistor.
A real battery with an electromotive force (emf) of \(\varepsilon = 6.0\text{ V}\) and an unknown internal resistance \(r\) is connected in a single closed loop to an external resistor of resistance \(R = 4.0\text{ }\Omega\). During circuit operation, a net charge of \(180\text{ C}\) passes through the resistor in a time interval of \(3.0\text{ min}\). What is the internal resistance \(r\) of the battery?

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