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AP Physics C: E&M
11.8 Resistor Capacitor (RC) Circuits
IntermediateMCQGraphicalMathematicalConceptual16.9k
A 2D Cartesian graph with gridlines. The horizontal axis is labeled t (s) and has major tick marks labeled 0, 2.0, 4.0, 6.0, 8.0. The vertical axis is labeled \ln(I / \text{A}) and has major tick marks labeled 0, -1.0, -2.0, -3.0, -4.0, -5.0, -6.0. Light gray gridlines extend across the plot area corresponding to every tick mark. A straight solid line with negative slope passes exactly through the grid intersections at (0, -2.0), (2.0, -3.0), (4.0, -4.0), (6.0, -5.0), and (8.0, -6.0). Black circular data points are plotted at each of these five grid intersections. No other labels, lines, text, or curves appear.
Plot of natural log of current versus time for the discharging capacitor.
A capacitor with capacitance \(C = 50\text{ }\mu\text{F}\) is initially charged and then discharged through a resistor of unknown resistance \(R\). A sensor records the current \(I\) in the circuit as a function of time \(t\), and a plot of \(\ln(I / \text{A})\) versus \(t\) is shown. Based on the graph, what is the resistance \(R\) of the resistor?

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