A student assembles a series circuit consisting of a single loop containing a DC…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

A student assembles a series circuit consisting of a single loop containing a DC power supply, a switch, and three carbon-film resistors whose nominal values are 150 Ω150\,\Omega, 220 Ω220\,\Omega, and 330 Ω330\,\Omega. With the switch closed and the circuit in a steady state, the student records the following potential differences (all measurements are taken with a digital voltmeter, positive probe first): • Across the power supply: +9.1 V+9.1\,\text{V} • Across the 150 Ω150\,\Omega resistor: −1.4 V-1.4\,\text{V} • Across the 220 Ω220\,\Omega resistor: −2.1 V-2.1\,\text{V} • Across the 330 Ω330\,\Omega resistor: −5.5 V-5.5\,\text{V} The manufacturer specifies that the meter uncertainty is ±0.1 V\pm0.1\,\text{V} for readings in this range. (a) Starting at the negative terminal of the power supply and moving once around the loop in the direction of conventional current, calculate the algebraic sum of the measured potential differences. Express your answer with the correct sign and units. (b) Using the result from part (a) and the stated meter uncertainty, discuss whether the student’s measurements are consistent with energy conservation in the circuit. Justify your answer quantitatively. (c) Identify one plausible experimental factor that could account for any lack of agreement with energy conservation, and explain qualitatively how that factor would influence one or more of the recorded readings.

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