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keisanHigh-precision calculations for everyday life and work

Impedance of an RCL Series Circuit

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Calculates the impedance when a resistor, a capacitor, and an inductor are connected in series.
Resistor R
Capacitor C
Coil L
Frequency f
Impedance |Z| = kΩ
= Ω
= mΩ
Phase φ = ° (degrees)
Entering 0 for R, C or L excludes that component from the calculation.

<RCL Series Circuit Impedance>
\(\normalsize \\ \hspace{30px}Z=R+{\large\frac{1}{j\omega C}}+j\omega L,\hspace{10px}\omega=2\pi f\\ \hspace{30px}|Z|=\sqrt{R^2+(\omega L-{\large\frac{1}{\omega C}})^2}\\\)


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

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