Perform submultiples conversion: convert 7,000 nA (nanoamperes) into microamperes (µA) and select the correct value.

Difficulty: Easy

Correct Answer: 7 µA

Explanation:


Introduction / Context:
Working with small currents requires comfort with SI prefixes. Nano (n) and micro (µ) are ubiquitous in sensor circuits, leakage measurements, and low-power design. This problem reinforces the 1000:1 relationship between adjacent prefixes.


Given Data / Assumptions:

  • Given value: 7,000 nA.
  • 1 µA = 1,000 nA.
  • Goal: express in µA.


Concept / Approach:

To convert from nano to micro, divide by 1,000 because micro is the next larger step: 10^-6 vs 10^-9. In exponential form, 7,000 × 10^-9 A becomes 7,000 × 10^-9 A = 7 × 10^-6 A = 7 µA.


Step-by-Step Solution:

Write 7,000 nA as 7,000 × 10^-9 A.Group: 7,000 × 10^-9 = 7 × 10^3 × 10^-9 = 7 × 10^-6 A.Recognize 10^-6 A as µA → 7 µA.


Verification / Alternative check:

Unit-ladder method: nA → µA is ÷ 1000, so 7,000 ÷ 1000 = 7 µA. Both methods agree.


Why Other Options Are Wrong:

0.007 µA and 0.7 µA are off by 1000× and 10× respectively; 700 µA is off by 100× in the other direction.


Common Pitfalls:

Multiplying instead of dividing when moving to a larger prefix; misreading µ (micro) as m (milli).


Final Answer:

7 µA

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion