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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalConceptual15.4k
A single closed rectangular circuit loop. On the left vertical branch, an ideal battery symbol with a long upper parallel line and short lower parallel line is connected in series with a small resistor symbol labeled r above it. A dashed rectangular box surrounds both the battery symbol and resistor r to represent the real battery. A solid black dot labeled terminal A sits on the top wire above the dashed box, and a solid black dot labeled terminal B sits on the bottom wire below the dashed box. On the right vertical branch, a single resistor symbol labeled R is positioned vertically. Two dashed wire leads extend from terminals A and B to a circle containing the letter V, representing a voltmeter measuring terminal voltage. No other labels, lines, text, or axes appear.
A real battery connected to an external resistor R and a voltmeter.
A battery with electromotive force \(\mathcal{\varepsilon}\) and internal resistance \(r\) is connected in a closed circuit to an external resistor of resistance \(R\). A voltmeter connected across the terminals of the battery measures a terminal voltage of \(V_T = \dfrac{3}{4}\mathcal{\varepsilon}\). Which of the following correctly indicates the external resistance \(R\) in terms of \(r\), and the ratio of the power \(P_R\) dissipated by the external resistor to the total power \(P_{\text{total}}\) supplied by the electromotive force?

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