An oscillatory circuit, consisting of an inductor and a capacitor, is connected through a switch to a source with emf E and internal resistance r (figure). Initially the key is closed. After establishing a stationary mode, the switch is opened, and oscillations with a period T occur in the circuit, while the amplitude of the voltage oscillations on the capacitor is n times greater than the emf of the battery. Find the inductance of the coil and the capacitance of the capacitor.

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