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keisanHigh-precision calculations for everyday life and work

Impedance of an RCL Parallel Circuit

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Calculates the impedance when a resistor, a capacitor, and an inductor are connected in parallel.
Resistor R
Capacitor C
Coil L
Frequency f
Impedance |Z| = kΩ
= Ω
= mΩ
Phase φ = ° (degrees)
<RCL Parallel Circuit Impedance>
\(\normalsize \\ \hspace{30px}{\large\frac{1}{Z}}={\large\frac{1}{R}}+j\omega C+{\large\frac{1}{j\omega L}},\hspace{10px}\omega=2\pi f \\ \hspace{30px}|Z|={\large\frac{1}{\sqrt{{\large\frac{1}{R^2}}+\left({\large\frac{1}{\omega L}}- \omega C \right)^2}}}\\\)


<Phase Difference>
\(\normalsize \\ \hspace{30px}\phi=\tan^{\tiny -1}{\left({R(\large\frac{1}{\omega L}-\omega C})\right)}\)

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