A voltage pulse was applied to a series RLC circuit. Initially at t=0, L and C are discharged to zero energy.
Assume Vin(t) = u(t) – u(t-1).
1. What is the resonant frequency in Hz?
2. Calculate the capacitor voltage V(5) waveform. Assume Vin(t)=u(t) and derive V(5)(t). Then get V5(t)-
V5(t-1). To get V5(t-1), substitute t=t-1 in V5(t).
3. Calculate the inductor current waveform -I(Vin) waveform..
4. What is the quality factor Q?
5. Compute the energy dissipated by R1 per one cycle of the resonant frequency.
6. Compute the maximum energy stored by L1 and C1, respectively, during the first cycle of the resonant
frequency.
7. Compare {the ratio of 6 and 5} and Q of 4.
8. Derive the equation of the stored energy of L1 and C1, respectively, in terms of time. Plot the 2 stored
energy on a graph.