Engineering unit conversion — capacitance scaling: 1300 × 10^–12 farads is equivalent to 1300 what unit of capacitance?

Difficulty: Easy

Correct Answer: pF

Explanation:


Introduction / Context:
Electronic component values are commonly expressed using engineering prefixes to keep numbers readable. Being fluent with pico, nano, micro, and milli simplifies interpreting datasheets, selecting parts, and checking calculations in circuits that use capacitors, resistors, and inductors.


Given Data / Assumptions:

  • The given quantity is 1300 × 10^–12 farads.
  • We must express the same value using a standard SI-prefixed capacitance unit.
  • Valid SI prefixes near 10^–12 are: pico (10^–12), nano (10^–9), micro (10^–6), milli (10^–3).


Concept / Approach:
Match the power of ten to the correct SI prefix, then rewrite the number so that the numerical part is convenient (typically between 1 and 9999 with an engineering prefix step of 10^3). Since 10^–12 corresponds to pico, multiplying any number by 10^–12 farads yields a value in picofarads directly.


Step-by-Step Solution:

Identify prefix: 10^–12 = pico (p).Rewrite: 1300 × 10^–12 F = 1300 pF.Optionally, compress to other prefixes: 1300 pF = 1.3 nF = 0.0013 µF.Select the answer requested in the prompt format: 1300 pF.


Verification / Alternative check:
Convert to farads as a decimal: 1300 × 10^–12 F = 1.3 × 10^–9 F = 1.3 nF. This cross-check confirms the pico-to-nano equivalence and validates that 1300 pF is correct.


Why Other Options Are Wrong:
nF would be 1.3 nF, not 1300 nF. µF would be 0.0013 µF, not 1300 µF. mF and F are much larger and do not match the power of ten given.


Common Pitfalls:
Confusing p (pico, 10^–12) with n (nano, 10^–9) or µ (micro, 10^–6), and forgetting that shifting prefixes by 10^3 changes the decimal point by three places.


Final Answer:
pF

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