Phase constant:

$\overline{){\mathbf{tan}}{\mathbf{}}{\mathbf{\varphi}}{\mathbf{=}}\frac{{\mathbf{X}}_{\mathbf{L}}\mathbf{-}{\mathbf{X}}_{\mathbf{C}}}{\mathbf{R}}}$

Resonance Frequency,

$\overline{){{\mathbf{\omega}}}_{\mathbf{r}\mathbf{e}\mathbf{s}}{\mathbf{=}}\frac{\mathbf{1}}{\sqrt{\mathbf{L}\mathbf{C}}}}$

Impedance,

$\overline{){{\mathbf{X}}}_{{\mathbf{L}}}{\mathbf{=}}{\mathbf{\omega}}{\mathbf{L}}}$

$\overline{){{\mathbf{X}}}_{{\mathbf{C}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{\omega C}}}$

Angular frequency,

$\overline{){\mathbf{\omega}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi}}{\mathbf{f}}}$

**(2)**

**Φ = 60°**

**R = 2.5 Ω**

Rearranging the phase constant equation:

R tan Φ = (X_{L} - X_{C})

The figure shows voltage and current graphs for a series RLC circuit.

If L = 380μH , what is the resonance frequency?

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