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AP Physics C: E&M
11.5 Compound Direct Current Circuits
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
IntermediateMCQMathematicalConceptual21.6k
A graph with a horizontal axis labeled R and a vertical axis labeled P, intersecting at an origin marked 0. The horizontal axis extends to the right and the vertical axis extends upward, with an arrowhead on each positive axis end. Bare axes with no numerical gridlines. A single smooth solid curve starts at the origin (0, 0), rises smoothly with decreasing slope to reach a rounded local maximum peak at horizontal position labeled r, and then gradually decreases toward the horizontal axis as an asymptote as R increases to the right. A vertical dashed line extends downward from the peak of the curve to a tick mark on the horizontal axis labeled r. A horizontal dashed line extends to the left from the peak of the curve to a tick mark on the vertical axis labeled P_{\text{max}}. No other labels, lines, text, or axes appear.
Power dissipated in the load resistor as a function of load resistance.
A battery with electromotive force \(\mathcal{E}\) and internal resistance \(r\) is connected in series with a variable load resistor of resistance \(R\). The graph shows the electric power \(P\) dissipated by the load resistor as a function of \(R\). Which of the following statements correctly relates features of the graph to the operation of the circuit?

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