An RC high-pass filter consists of an 820 Ω resistor. What is the value of C so that Xc is ten times less than Rat an input frequency of 12 kHz?
Correct answer: C. 0.161 µF
- A. 81 µF
- B. 161 µF
- C. 0.161 µF
- D. 220 µF
Explanation
“Ten times less than R” means the capacitive reactance is about 82 Ω, since 820/10 = 82 Ω. Using C = 1/(2πfXc) gives C ≈ 0.161 µF, while the much larger values would produce far smaller reactance.
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