Unit conversion for inductance: A 240 µH inductor is equivalent to which value expressed in millihenries (mH) or henries (H)?

Introduction / Context:
Engineering problems often require converting units cleanly. Inductance is commonly expressed in henries (H), millihenries (mH), and microhenries (µH). Knowing the decimal relationships avoids scale errors during design or analysis.

Given Data / Assumptions:

• L = 240 µH.
• 1 mH = 1000 µH; 1 H = 1000 mH.
• We seek an equivalent expression.

Concept / Approach:

Use powers-of-ten conversions: micro (10^-6), milli (10^-3). Thus, 240 µH * (1 mH / 1000 µH) = 0.240 mH. Converting to henries would give 0.000240 H.

Step-by-Step Solution:

Verification / Alternative check:

Reverse check: 0.240 mH = 0.240 * 1000 µH = 240 µH, confirming equivalence.

Why Other Options Are Wrong:

240 mH is 1000× too large. 0.000240 mH is 1000× too small. 240 H is six orders of magnitude larger than the original value.

Common Pitfalls:

Misplacing decimal points; confusing micro with milli prefixes; forgetting that 1 mH = 1000 µH.

Final Answer:

0.240 mH inductor