Capacitance unit conversion: Convert a capacitance of 0.00022 F into microfarads (µF).
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A22 µF
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B220 µF
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C2,200 µF
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D22,200 µF
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E
Answer
Correct Answer: 220 µF
Explanation
Introduction / Context:Converting between farads and sub-multiples (µF, nF, pF) is routine in circuit design. This question assesses precision with scientific notation and unit scaling.
Given Data / Assumptions:
- C = 0.00022 F.
- Find the equivalent in microfarads.
Concept / Approach:1 µF = 10^-6 F, hence to convert farads to microfarads, divide by 10^-6 (or multiply by 10^6).
Step-by-Step Solution:C(µF) = C(F) * 10^6C(µF) = 0.00022 * 10^6C(µF) = 220 µF
Verification / Alternative check:Back-convert: 220 µF = 220 * 10^-6 F = 0.00022 F, matching the original value.
Why Other Options Are Wrong:
- 22 µF: 10x too small.
- 2,200 µF: 10x too large.
- 22,200 µF: 100x too large.
Common Pitfalls:Misreading decimal places or confusing milli (10^-3) with micro (10^-6) leads to power-of-ten mistakes. Always track exponents explicitly.
Final Answer:220 µF