73·STUDY

Extra exam question E5A10

Subelement E5, ELECTRICAL PRINCIPLES· Group E5A

E5A10

What is the resonant frequency of an RLC circuit if R is 33 ohms, L is 50 microhenries, and C is 10 picofarads?

  • A.7.12 MHz (correct answer)
  • B.23.5 kHz
  • C.7.12 kHz
  • D.23.5 MHz

WhyAn RLC circuit with 50 microhenries of inductance and 10 picofarads of capacitance resonates at about 7.12 MHz. Using f equals 1 divided by 2 pi times the square root of L times C, with L at 50 microhenries and C at 10 picofarads, the square root of their product is about 2.24 times 10^-8, giving a resonant frequency of approximately 7.12 MHz, answer A. The kilohertz-range answers are off by three orders of magnitude, and 23.5 MHz doesn't match this particular L and C combination.

Published 2026-08-28 · Last updated 2026-08-28 · Question text is verbatim from the 2024-2028 NCVEC Element 4 pool (public domain); the explanation above is original writing, see our methodology.

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