Problem 30877.

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The energy of the oscillatory circuit is 2 μJ, its inductance is 0.04 mH. The voltage on the capacitor at the initial moment of time is equal to the maximum value of 0.4 V. Find the dependence of the capacitor charge on time in the mode of free oscillations. Draw graphs of the time dependence within one period of the energies of the electric and magnetic fields, as well as the total energy of the circuit.

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A detailed solution with a brief note of the condition, formulas and laws used in the solution, the derivation of the calculation formula and the answer.
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