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

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:

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