Exercise 13

Damped angular frequency and energy decay

Theory used: Damped oscillations of the RLC circuit Energy dissipated in the resistor

A free $R L C$ circuit has $L = 50 mH$ , $C = 2.0 μ F$ and $R = 100 Ω$ . Compute the angular frequency of the damped oscillations and the time after which the energy of the circuit has decreased by a factor $e$ , in the approximation $U (t) \approx U_{0} e^{- \frac{R}{L} t}$ .

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