In a series electrical circuit containing an ohmic resistance, a coil with an inductance of 1 H and a capacitor, damped oscillations occur. In this case, the voltage on the capacitor plates changes with time according to the law: U=30e^(-1000t)*cos(10^3*t), V. Determine the damping coefficient, natural cyclic oscillation frequency, capacitance and ohmic resistance of the circuit. What is the initial charge on the capacitor plates?
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