Answer Happy

102 wa Nicht) dir(t) t=0 + 100mV DC Vil(t) ខ្លី 14H R3 v(t) 1uF The initial energy stored in the inductor and capacitor is zero. At t = 0, a 100mV DC source is attached to the RLC circuit through a 192 resistor. We know the equation and parameters for t20+ at critical damped condition: dv(0+) v(t) = = Dite-at + Dze-at, v(0+) = D2, = D1 - aD2; dt I and for parallel RLC circuit, a = 5,0o =lo 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) b) What will be initial current of il(0+), ic(0*) and ir(0+). (9 pts)

c) If R 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) If R 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.