Unit conversion checkpoint: what is the equivalent of 1 kV expressed in volts (V)? Select the correct magnitude.
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A1.00 V
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B1000 V
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C100 mV
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D1000 mV
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ENone of the above
Answer
Correct Answer: 1000 V
Explanation
Introduction / Context:Accurate unit conversion is a foundational skill in electronics. Engineers frequently move between prefixes such as milli (10^-3), kilo (10^3), and mega (10^6). This question checks the ability to convert kilovolts to volts, which is essential when reading datasheets, sizing components, or programming measurement equipment.
Given Data / Assumptions:
- Prefix “kilo” means 10^3.
- We are converting 1 kilovolt to volts.
- No rounding is needed because the conversion is exact.
Concept / Approach:Use the SI prefix table: 1 kV = 10^3 V. The general pattern is value_in_base = value_with_prefix * 10^(prefix power). For kilo, multiply by 10^3 to get base units (volts).
Step-by-Step Solution:1) Identify the prefix: k (kilo) = 10^3.2) Apply conversion: 1 kV = 1 * 10^3 V.3) Compute: 1 * 10^3 = 1000.4) Conclude: 1 kV = 1000 V.
Verification / Alternative check:Reverse the operation: 1000 V / 10^3 = 1 kV. The forward and reverse conversions are consistent, confirming correctness.
Why Other Options Are Wrong:1.00 V is 10^0 V, not kilovolt. 100 mV equals 0.1 V, which is 10^-1 V. 1000 mV equals 1 V, not 1000 V. “None of the above” is not applicable since 1000 V is correct.
Common Pitfalls:Confusing milli with kilo, or assuming k means 1024 (a binary multiple) instead of 1000 in SI electrical contexts.
Final Answer:1000 V