Voltage conversion across prefixes: How many millivolts (mV) are equal to 0.06 kilovolts (kV)? Provide the exact numerical value in mV.

Difficulty: Easy

Correct Answer: 60,000 mV

Explanation:


Introduction / Context:
Converting between distant SI prefixes (kilo to milli) often leads to factor-of-10 errors. This exercise strengthens multi-step conversion skills vital in instrumentation and data reporting.


Given Data / Assumptions:

  • Given voltage: 0.06 kV.
  • Prefixes: kilo (k) = 10^3, milli (m) = 10^-3.
  • 1 V is the base unit; 1 kV = 10^3 V and 1 V = 10^3 mV.


Concept / Approach:
Perform the conversion in two clean steps: kV → V, then V → mV. Alternatively, combine factors directly, noting that k to m spans 10^6 (since 10^3 / 10^-3 = 10^6).


Step-by-Step Solution:

Step 1: Convert kV to V → 0.06 kV = 0.06 * 10^3 V = 60 V.Step 2: Convert V to mV → 60 V = 60 * 10^3 mV = 60,000 mV.Result: 60,000 mV.


Verification / Alternative check:
Direct factor method: 0.06 kV * 10^6 mV/kV = 0.06 * 1,000,000 mV = 60,000 mV, identical to the two-step method.


Why Other Options Are Wrong:

  • 600 V: Wrong unit; also equals 600,000 mV, not 60,000 mV.
  • 6,000 mV: Off by a factor of 10.
  • 600,000 mV: Off by a factor of 10 in the other direction.


Common Pitfalls:

  • Forgetting that converting from k to m multiplies by 10^6.
  • Selecting a value with the wrong unit after a correct numeric conversion.


Final Answer:
60,000 mV

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