Unit comparison: 2,000 pF is greater than which of the following alternative unit expressions?
Electronics
Capacitors
Difficulty: Easy
Choose an option
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A0.0002 µF
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B0.002 µF
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C0.02 µF
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D0.0000002 F
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E2 nF
Answer
Correct Answer: 0.0002 µF
Explanation
Introduction / Context:Being fluent in conversions among pF, nF, µF, and F prevents component-selection errors and misreads of datasheets. Here we compare a fixed value, 2,000 pF, with several alternatives in different units.
Given Data / Assumptions:
- Reference value: 2,000 pF.
- We compare magnitudes only; ideal components assumed.
Concept / Approach:Use 1 µF = 10^6 pF and 1 nF = 10^3 pF. Convert each option to a common unit for clear comparison.
Step-by-Step Solution:
Convert 2,000 pF → 2 nF → 0.002 µF.Option A: 0.0002 µF = 0.2 nF = 200 pF (smaller).Option B: 0.002 µF = 2 nF = 2,000 pF (equal).Option C: 0.02 µF = 20 nF = 20,000 pF (larger).Option D: 0.0000002 F = 0.2 µF = 200,000 nF = 200,000,000 pF (much larger).Verification / Alternative check:Equality and inequalities line up consistently once all are in pF or nF; only 0.0002 µF is less than 2,000 pF.
Why Other Options Are Wrong:
- 0.002 µF and 2 nF: Equal to 2,000 pF, not smaller.
- 0.02 µF and 0.0000002 F: Both are larger magnitudes.
Common Pitfalls:
- Dropping or misplacing decimal powers during conversion.
- Confusing equality (0.002 µF) with “greater than.”
Final Answer:0.0002 µF