Consider the circuit diagram as shown in the figure. The source has a voltage \(V = V_0 \sin \omega t\). Both the resistors A and B have the same resistance. The capacitor and the inductor have capacitance \(C\) and inductance \(L\), respectively. For some frequency \(\omega\), and certain initial charge in the capacitor, the current through the resistor A is in phase with the source. What is the value of \(\omega\)?
