Express the current 3.2 × 10^-5 amperes using an appropriate SI metric prefix (choose the best single-prefix notation).

Difficulty: Easy

Correct Answer: 32 µA

Explanation:


Introduction / Context:
Working comfortably with powers of ten is essential when reading sensor outputs and specifying component ratings. We convert a scientific-notation current into a compact metric-prefix form.


Given Data / Assumptions:

  • Given current: 3.2 × 10^-5 A.
  • Prefixes: micro (µ) = 10^-6; milli (m) = 10^-3.
  • Goal: a single, clear metric-prefix expression.


Concept / Approach:
Express amperes in microamperes by dividing by 10^-6, or equivalently multiply the numeric coefficient by 10 (since 10^-5 A = 10 * 10^-6 A). This keeps the coefficient between 1 and 1000 with a single prefix.


Step-by-Step Solution:

Rewrite 3.2 × 10^-5 A as (3.2 × 10) × 10^-6 A.Compute the coefficient: 3.2 × 10 = 32.Use the µA prefix: 10^-6 A = 1 µA → result = 32 µA.


Verification / Alternative check:
Direct decimal move: 3.2 × 10^-5 A = 0.000032 A. Since 1 µA = 0.000001 A, divide 0.000032 / 0.000001 = 32 µA. Same result.


Why Other Options Are Wrong:

  • 3.3 µA: Rounds and changes the value; not exact.
  • 320 mA and 3,200 mA: Use milli (10^-3), producing values thousands to millions of times larger than given.


Common Pitfalls:

  • Mistaking milli for micro due to similar symbols (m vs µ).
  • Introducing rounding where exact conversion is requested.


Final Answer:
32 µA

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