Unit comparison: An inductance of 0.08 µH is larger than which of the following quantities?

Difficulty: Easy

Correct Answer: 0.000000008 H

Explanation:


Introduction / Context:
Comparing component values expressed with different SI prefixes can be tricky. This question reinforces careful conversion among henry (H), millihenry (mH), and microhenry (µH) to decide which figure is strictly smaller than 0.08 µH so that 0.08 µH is larger than it.


Given Data / Assumptions:

  • Reference value: 0.08 µH.
  • Options provided in H and mH require conversion to a common base.
  • We compare magnitudes only.


Concept / Approach:
Convert 0.08 µH to henries: 0.08 µH = 0.08 × 10^-6 H = 8 × 10^-8 H. Identify which option is less than 8 × 10^-8 H; that one is the value for which 0.08 µH is larger.


Step-by-Step Solution:

Target: 0.08 µH = 8e-8 H.Option checks: 0.0000008 H = 8e-7 H (larger; target is smaller, not larger than this).0.000000008 H = 8e-9 H (smaller; target 8e-8 H is larger).0.000008 H = 8e-6 H (much larger; target is smaller).0.00008 mH = 8e-8 H (equal; not larger).


Verification / Alternative check:
Convert all to µH: 0.000000008 H = 0.008 µH; indeed 0.08 µH > 0.008 µH by a factor of 10, confirming the selection.


Why Other Options Are Wrong:

  • 0.0000008 H and 0.000008 H: Both exceed 0.08 µH, so 0.08 µH is not larger than them.
  • 0.00008 mH: Exactly equal to 0.08 µH; not “larger than.”


Common Pitfalls:

  • Confusing 10^-6 and 10^-9 prefixes or misplacing decimals when converting.


Final Answer:
0.000000008 H

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