Magnitude comparison: An inductance of 0.43 mH is smaller than which of the following values?

Difficulty: Easy

Correct Answer: 0.05 H

Explanation:


Introduction / Context:
Unit conversion agility (µH, mH, H) is indispensable when comparing component values from different datasheets or suppliers. This problem asks you to identify which listed quantity is strictly larger than 0.43 mH, because only then can we say 0.43 mH is smaller than that quantity.


Given Data / Assumptions:

  • Reference value: 0.43 mH.
  • Options include microhenry, millihenry, and henry forms.
  • Accurate unit conversion is required.


Concept / Approach:
Convert each option to the same unit (e.g., mH) for clean comparison. Remember: 1 H = 1000 mH and 1 mH = 1000 µH. Equality must not be mistaken for “smaller than.”


Step-by-Step Solution:

430 µH = 0.430 mH = 0.43 mH (equal, not larger).0.00043 H = 0.43 mH (equal, not larger).43 µH = 0.043 mH (smaller than 0.43 mH).0.05 H = 50 mH (much larger than 0.43 mH).


Verification / Alternative check:
Compare orders of magnitude: 0.43 mH is far below 1 H. Converting 0.05 H to mH gives 50 mH, which clearly exceeds 0.43 mH, validating the choice.


Why Other Options Are Wrong:

  • 430 µH and 0.00043 H: These are exactly equal to 0.43 mH, not larger.
  • 43 µH: Smaller than 0.43 mH, so the statement “0.43 mH is smaller than 43 µH” is false.


Common Pitfalls:

  • Mistaking equality for greater-than or less-than.
  • Dropping or misplacing decimal points when converting between H, mH, and µH.


Final Answer:
0.05 H

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