Question

The resonant angular frequency ω0ω0​ of a series RLC circuit is given by ______.

Options

• ω₀ = LC

• ω₀ = \[\sqrt {LC}\]

• ω₀ = \[\frac {1}{\sqrt {LC}}\]

• ω₀ = \[\frac {1}{LC}\]

Answer 1

The resonant angular frequency ω₀ of a series RLC circuit is given by ω₀ = \[\frac {1}{\sqrt LC}\].

Explanation:

Setting X_L = X_C gives ω₀L = \[\frac {1}{ω_0C}\]​, which simplifies to ω₀² = \[\frac {1}{LC}\], so ω₀ = \[\frac {1}{\sqrt {LC}}\]​. This is the natural frequency at which current amplitude is maximum.