Answer to Question #111217 in Electric Circuits for Trevor Collins

Question

My question comes from this website https://www.chegg.com/homework-help/questions-and-answers/case-difficult-read-charges-right-capacitor-q2-q2-q37457186. Can I please get some help?

Answer 1

The resonance occurs when the reactive resistance of the inductor becomes equal to the one of capacitor. We have two capacitors, and their mutual capacitance will be

$$C_t=\frac{C}{2}$$

According to the condition of resonance:

$$X_L=X_C,\\ \omega L=\frac{1}{\omega C_t},\\ \omega=\frac{1}{\sqrt{LC_t}}=\sqrt{\frac{2}{LC}}.$$