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AP Physics 2
11.8 Resistor-Capacitor (RC) Circuits
AdvancedMCQGraphicalMathematicalConceptual24k
A quantitative graph showing a linear relationship on rectangular axes. The horizontal axis is labeled 't (ms)' and has major tick marks from 0.0 to 4.0 in steps of 0.5. The vertical axis is labeled '\ln(V/1\text{ V})' and has major tick marks from 0.0 to 4.0 in steps of 0.5. Grid lines extend lightly from all major ticks across the plotting area. A single straight solid line with a constant negative slope extends across the graph. The line passes precisely through grid intersections at (0.0, 3.0), (1.0, 2.0), (2.0, 1.0), and (3.0, 0.0). Small solid dots mark the data points at (0.0, 3.0) and (2.0, 1.0). No other labels, lines, text, or axes appear.
Graph of \(\ln(V/\text{1 V})\) versus time \(t\).
A circuit contains a charged capacitor of capacitance \(C = 4.0 \text{ }\mu\text{F}\) that discharges through an unknown resistor \(R\). A student measures the potential difference \(V\) across the capacitor as a function of time \(t\) and constructs a graph of \(\ln(V/\text{1 V})\) versus \(t\), as shown. Based on the graph, what is the resistance \(R\) of the resistor?

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