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keisanHigh-precision calculations for everyday life and work

Impedance of an LC Series Circuit

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Calculates the impedance when a coil and a capacitor are connected in series.
Coil L
Capacitor C
Frequency f
Impedance |Z|  Ω
Phase φ  ° (degrees)
<LC Series Circuit Impedance>
\(\normalsize\\ \hspace{30px}Z=j\omega L+{\large\frac{1}{j\omega C}}\ ,\hspace{10px}\omega=2\pi f\\ \hspace{30px}|Z|=|\omega L-{\large\frac{1}{\omega C}}|\\\)


<Phase Difference>
\(\normalsize\\ \hspace{30px}\omega L>{\large\frac{1}{\omega C}}\hspace{20px}\phi=90\\ \hspace{30px}\omega L <{\large\frac{1}{\omega C}}\hspace{20px}\phi=-90\\ \hspace{30px}\omega L={\large\frac{1}{\omega C}}\hspace{20px}\phi=0\\\)

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