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PRACTICE / Electrical resonance

Find the resonant angular frequency

A series RLC circuit has L = 0.25 H and C = 100 μF.

Find its resonant angular frequency.

Organize the givens & assumptions
  • L = 0.25 H
  • C = 10⁻⁴ F

Ideal linear series RLC circuit in sinusoidal steady state; frequency-independent L and C; resonance means zero net reactance.

  1. A0.005 rad s−10.005\ \mathrm{rad\,s^{-1}}
  2. B200 rad s−1200\ \mathrm{rad\,s^{-1}}
  3. C100/π rad s−1100/\pi\ \mathrm{rad\,s^{-1}}
  4. D40000 rad s−140000\ \mathrm{rad\,s^{-1}}

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