Worksheet: Resonance in Alternating-Current Circuits

In this worksheet, we will practice calculating the resonant frequency of alternating-current circuits containing resistors, capacitors, and inductors.

Q1:

The resonant frequency of an RLC series circuit is 2 . 0 × 1 0 Hz. If the self-inductance in the circuit is 5.0 mH, what is the capacitance in the circuit?

  • A 2 . 0 × 1 0 F
  • B 2 . 5 × 1 0 F
  • C 1 . 0 × 1 0 F
  • D 1 . 8 × 1 0 F
  • E 1 . 3 × 1 0 F

Q2:

A 100-Ω resistor, 5.0-µF capacitor, and 2.0 H inductor connected in series. This combination can be connected to a 100-V source operating at a constant frequency.

What is the resonant frequency of the circuit?

What is the power output of the source when connected to the circuit?

What is the 𝑄 of the circuit?

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