Unit comparison: 2,000 pF is greater than which of the following alternative unit expressions?

Difficulty: Easy

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

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