Unit conversion in electronics: Convert a capacitance of 0.01 µF into an equivalent value in picofarads (pF).

Introduction / Context:Electronics often requires quick conversion among farad sub-multiples: microfarads (µF), nanofarads (nF), and picofarads (pF). This question checks accurate unit conversion across orders of magnitude.

Given Data / Assumptions:

• Capacitance C = 0.01 µF.
• Find the equivalent in picofarads.

Concept / Approach:Use standard SI relations: 1 µF = 10^-6 F, 1 nF = 10^-9 F, 1 pF = 10^-12 F. Also, 1 µF = 1,000 nF and 1 nF = 1,000 pF, so 1 µF = 1,000,000 pF.

Step-by-Step Solution:C = 0.01 µFConvert µF to pF directly: 1 µF = 1,000,000 pFTherefore, 0.01 µF = 0.01 * 1,000,000 pF= 10,000 pF

Verification / Alternative check:Convert via nanofarads first: 0.01 µF = 10 nF, and 10 nF = 10 * 1,000 pF = 10,000 pF. Both approaches yield the same result.

Why Other Options Are Wrong:

• 100 pF and 1,000 pF: Undershoot by factors of 100 and 10, respectively.
• 100,000 pF: Overshoot by a factor of 10.

Common Pitfalls:Mixing up nF and pF steps or forgetting that 1 µF equals one million pF. Writing 0.01 µF as 100 pF is a typical decimal-place error.

Final Answer:10,000 pF