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Imagine that the parameters R, L, C, and the amplitude of the voltage V₀ are fixed, but the frequency of the voltage source is changeable. If the frequency of the source is changed from a very low one to a very high one, the current amplitude I₀ will also change. The frequency at which I₀ is at a maximum is called resonance. Find the frequency ω₀ at which the circuit reaches resonance.

Respuesta :

Answer:

[tex]\omega _{0} = \frac{1}{LC}[/tex]

Explanation:

In the condition of resonance, the voltage across the inductor is same as the voltage across the capacitor.

At this time, the current is maximum and the impedance is minimum.

The capacitive reactance is equal to the inductive reactance.

XL = Xc

Let ωo be the resonant frequency.

[tex]\omega _{0}L = \frac{1}{\omega _{0}C}[/tex]

[tex]\omega _{0} = \frac{1}{LC}[/tex]

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