SignalPrep
Advanced Qualification · A-001 Advanced theory · A-001-003-004

What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 25 microhenrys and C is 10 picofarads?

  1. A10.1 MHz
  2. B63.7 MHz
  3. C10.1 kHz
  4. D63.7 kHz

Correct answer: A — 10.1 MHz. From the official ISED question bank, verified word for word.

Why

The resonant frequency of 10.1 MHz is correct because the formula depends only on the inductor and capacitor values, while the resistance of 47 ohms does not change the frequency where they cancel each other out. 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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