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:
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:
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
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