Answer Happy

Problem 4: RLC circuits (20 pts) 10 w Vil(t) Liect ) t=0 100mV DC Jicet) Lir(t) v(t) 1F RŽ 1H dt The initial energy stored in the inductor and capacitor is zero. Att = 0, a 100mV DC source is attached to the RLC circuit through a 19 resistor. We know the equation and parameters for t20+ at critical damped condition: dv(0+) v(t) = Dite-at + Dzemat, vot) = D2, = D. - aD2; and for parallel RLC circuit, a = ,Wo = vc a) Find the R value for critical damping (6 pts) (hint: you may convert the 100mV DC and 10 to current-source-based equivalent circuit first using source transformation) 1 2RC b) What will be initial current of i:(0), ic(0*) and ir(0*). (9 pts)

EE 201: Electric Circuits c) IfR is larger than the value calculated in a), the circuit will be in (Circle the correct answer): (3 pts): A. Under-damped condition; B. Over-damped condition; C. Critical-damped condition. d) IfR is larger than the value calculated in a), (Circle the correct answer) (2 pts): A. Ringing will happen; B. The response will still be smooth but will settle slower, without ringing. D. The response will still be smooth but will settle faster, without ringing.