Question 10.5: A parallel RLC circuit is shown in Fig. 10.23. At parallel r......

A parallel RLC circuit is shown in Fig. 10.23. At parallel resonance condition determine the resonant frequency, quality factor and resonant impedance.

10.23
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The resonant frequency is calculated as,

f_{0}={\frac{1}{2\pi}}{\sqrt{{\frac{1}{0.8\times0.9\times10^{-6}}}-{\frac{5^{2}}{0.8^{2}}}}}=187.56\,\mathrm{Hz}     (10.172)

The quality factor is determined as,

Q_{p}={\frac{2\pi\times187.56\times0.8}{5}}=188.56     (10.173)

Resonance impedance is calculated as,

Z_{r}={\frac{0.8}{5\times0.9\times10^{-6}}}=177.78\,{\mathrm{k}}\,{ \mathrm {Ω}}     (10.174)

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