Impedance of an LC Parallel Circuit
Calculate the impedance when a coil and a capacitor are connected in parallel.
| Impedance |Z| | Ω |
| Phase φ | ° (degrees) |
＜LC Parallel Circuit Impedance＞
＜Phase Relationship Between Current and Voltage＞
| \(\normalsize \\ \hspace{30px} {\large\frac{1}{Z}}={\large\frac{1}{j\omega L}}+j\omega C,\hspace{10px}\omega =2\pi f\\ \hspace{30px}|Z|={\large\frac{1}{|\frac{1}{\omega L}-{\omega C}|}}\\\) |
＜Phase Relationship Between Current and Voltage＞
| \(\normalsize \\ \hspace{30px}{\large\frac{1}{\omega L}}>\omega C\hspace{20px}\phi=90\\ \hspace{30px}{\large\frac{1}{\omega L}}<\omega C\hspace{20px}\phi=-90\\ \hspace{30px}{\large\frac{1}{\omega L}}=\omega C\hspace{20px}\phi=0\\\) |
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