Two identical miniature lamps

PHYSICS · Multi-part · A Level · Physics · Electricity · Electricity

Problem

Two identical miniature lamps, L1L_{1} and L2L_{2}, are connected in parallel across an ideal 6.0 V6.0\,\text{V} battery using negligible-resistance wires. A voltmeter whose internal resistance is 5.0 kΩ5.0\,\text{k}\Omega is intended to measure the potential difference across L1L_{1}. By mistake, the experimenter connects the voltmeter in series with L1L_{1} instead of in parallel. Respond to the tasks below. (1) Part 1: (a) Qualitatively compare the brightness of L1L_{1} and L2L_{2} after the voltmeter has been connected in series with L1L_{1}. State which lamp glows brighter and explain your reasoning. (2) Part 2: (b) Indicate whether the reading shown on the voltmeter, when connected in series as described, is greater than, less than, or equal to the actual potential difference that originally existed across L1L_{1} when no voltmeter was present. Provide a qualitative explanation that refers to current division and the voltmeter’s resistance. (3) Part 3: (c) Suppose a second voltmeter with an internal resistance of 50 kΩ50\,\text{k}\Omega were used in the same incorrect series connection. Describe qualitatively how the observations in parts (a) and (b) would change, if at all.

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