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keisanHigh-precision calculations for everyday life and work

Impedance of RC and RL Parallel Circuits

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Calculate the impedance when a series circuit consisting of a resistor and a capacitor is connected in parallel with a series circuit consisting of a resistor and an inductor.
Resistor RC
Capacitor C
Resistor RL
Coil L
Frequency f
Impedance |Z| = kΩ
= Ω
= mΩ
Phase φ = ° (degrees)
<RCC and RLL Parallel Circuit Impedance>
\(\normalsize \\ \hspace{30px}{\large\frac{1}{Z}}={\large\frac{1}{R_C+\frac{1}{j\omega C}}}+{\large\frac{1}{R_L+j\omega L}},\hspace{10px}\omega=2\pi f \\ \hspace{30px}|Z|=abs(Z)=\sqrt{\large Re(Z)^2 +Im(Z)^2}\\\)


<Phase Difference>
\(\normalsize \\ \hspace{30px}\phi=argument(Z)=\tan^{\tiny -1}{\large \frac{Im(Z)}{Re(Z)}}\)

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