SignalPrep
Advanced Qualification · A-001 Advanced theory · A-001-003-009

What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 8 picofarads?

  1. A49.7 kHz
  2. B28.1 kHz
  3. C28.1 MHz
  4. D49.7 MHz

Correct answer: C — 28.1 MHz. From the official ISED question bank, verified word for word.

Why

The resonant frequency is 28.1 MHz because the formula depends only on the inductor and capacitor values, while the 47 ohm resistor affects how sharp the resonance is but not the frequency itself. The full explanation — and one for every question — is in Pro.

Practise this section

Advanced theory is section A-001 of the Advanced exam: Advanced theory: time constants, reactance, impedance, resonance, Q, and the mathematics behind tuned circuits.

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