Difficulty: Easy
Correct Answer: 100,000 Ω
Explanation:
Introduction / Context:
The Ω/volt rating indicates how much resistance a voltmeter exhibits per volt of full-scale range. This parameter matters because finite internal resistance can load the circuit and alter the measured voltage, especially in high-resistance networks.
Given Data / Assumptions:
Concept / Approach:
On each higher voltage range, additional series resistance is introduced so that the meter movement sees the correct full-scale current. Therefore the presented resistance scales linearly with range setting, following the product rule above.
Step-by-Step Solution:
Verification / Alternative check:
On a 10 V range, the same instrument would show 200 kΩ; on 1 V, 20 kΩ. The proportionality confirms the logic.
Why Other Options Are Wrong:
20,000 Ω corresponds to 1 V range, not 5 V. 200,000 Ω would be the 10 V range value. 1,000,000 Ω implies 200,000 Ω/V sensitivity, not 20,000 Ω/V.
Common Pitfalls:
Forgetting to multiply by the selected range; confusing Ω/V with kΩ/V; overlooking how meter loading changes with range.
Final Answer:
100,000 Ω
Discussion & Comments