A copper rod is bent into a semi-circle of radius a and at ends straight parts are bent along diameter of the semi-circle and are passed through fixed, smooth and conducting rings O and $O^{\text{'}}$ as shown in Fig. A capacitor having capacitance C is connected to the rings. The system is located in a uniform magnetic field of induction B such that axis of rotation $O{O}^{\text{'}}$ is perpendicular to the field direction. At initial moment of time $(t=0)$, plane of semi-circle was normal to the field direction and the semi-circle is set in rotation with constant angular velocity $\omega$. Neglecting resistance and inductance of the circuit, if calculate current I flowing through the circuit at time t is found to be  $\frac{x}{y}\pi {\omega }^c{a}^{d}cB\cos \omega t$.  Find $2(\frac{x}{y}+cd)$