An ideal capacitor having a charge q = q0 cos wt is connected across an ideal inductor ‘L’
through a switch ‘S’. On closing the switch, show that the sum of the energies in the capacitor
and inductor is constant in time in the free oscillations of the LC circuits.​

simple: as there is no resistance is connected across circuit so no loss of energy takes place . so energy of inductor + capacitor constant. inductor with capacitor have power factor =to 0

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