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AP Physics 2
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalConceptual15.6k
A schematic circuit diagram drawn in black lines on a white background. On the left, an ideal DC voltage source labeled \mathcal{E} is in series with a small resistor labeled r representing internal resistance. This series combination connects to a parallel network consisting of two horizontal branches. The upper branch contains a thermistor symbol, represented as a rectangular box with a diagonal line through it, labeled R_T, with an arrow labeled I_T pointing to the right. The lower branch contains a standard zig-zag resistor symbol labeled R, with an arrow labeled I_R pointing to the right. An arrow labeled I_{total} points to the right entering the parallel junction. No other labels, text, or axes appear.
Circuit containing a battery with internal resistance \(r\) connected to a parallel network.
A circuit consists of a battery with electromotive force \(\mathcal{E}\) and non-zero internal resistance \(r\) connected to a parallel combination of two branches. One branch contains an NTC thermistor whose resistance \(R_T\) decreases as its temperature increases, and the other branch contains a fixed resistor of resistance \(R\). As current flows through the circuit, the thermistor heats up until it reaches a stable, higher operating temperature. Which of the following correctly describes the changes in the current through the thermistor branch, \(I_T\), and the current through the fixed resistor branch, \(I_R\), as the thermistor reaches thermal equilibrium?

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