C L FIG. 1: LC circuit.A cylindrical solenoidal coil of radius a, self-inductance L, and with N turns is connected to a parallel plate capacitor with capacitance C and plate separation of. A capacitor is initially charged to Q0. Such a circuit is called a resonant circuit. Charge on a capacitor oscillates as Q = Q0 cos out, where w = 1/ m (current oscillates as I = Q radiated per unit time. w sin wt). Find the power Assume that there is no interference between electric and magnetic elds due to the capacitor and the coil (i. e., Pmd = Pmicamm + Pradm, so you can calculate power radiated independently). Assume that power losses are small, and don't immediately change the behavior of the circuit. Hint: magnetic dipole moment of a solenoidal coil is a sum of magnetic dipole moments (m0) of individual coils, i. e., m = Nmo