Physics

Physics

Problem

A 12.0 V12.0\,\text{V} battery with an internal resistance of 2.0 Ω2.0\,\Omega is connected to a 98 Ω98\,\Omega external resistor. To measure the circuit current, two different ammeters are available: • Ammeter A\textsubscript{1}: internal resistance 0.50 Ω0.50\,\Omega • Ammeter A\textsubscript{2}: internal resistance 2.0 Ω2.0\,\Omega Each ammeter is inserted separately, in turn, in series with the external resistor. Perform the following analyses. (a) Calculate the current that would flow through the external resistor if no ammeter were present. (b) Determine the reading shown by A\textsubscript{1} when it is placed in the circuit. Show all steps clearly and include appropriate units. (c) Determine the reading shown by A\textsubscript{2} when it is placed in the circuit. Show all steps clearly and include appropriate units. (d) Using your results, identify which ammeter provides a measurement closer to the true current found in part (a). Support your answer quantitatively by computing the percent error for each ammeter and explaining the relationship between internal resistance and measurement accuracy.

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