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AP Physics C: E&M
11.4 Electric Power
11.3 Resistance, Resistivity, and Ohm’s Law
11.2 Simple Circuits
IntermediateMCQGraphicalConceptual14.4k
Circuit schematic with battery, resistor, and thermistor.
Circuit schematic with battery, resistor, and thermistor.
A circuit consists of an ideal battery of voltage \(\mathcal{E}\), a fixed resistor of resistance \(R\), and a thermistor connected in series, as shown. The thermistor has a negative temperature coefficient, meaning its resistance \(R_{th}\) decreases as its temperature increases. At time \(t = 0\), the thermistor is at room temperature with resistance \(R_{th}(0) = R\). As current flows for \(t > 0\), Joule heating causes the thermistor's temperature to rise until it reaches thermal equilibrium with its surroundings at a steady-state current \(I_{ss}\). Which of the following graphs best represents the current \(I\) in the circuit as a function of time \(t\)?

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