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10 w t=0 Vil(t) | Micro Juice) i 100mV DC v(t) R3 1uF 1μΗ 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 12 resistor. We know the equation and parameters for t20+ at critical damped condition: v(t) = D, te-at + Dze-at; v(0+) = D2, dv(0+) = D - aD2; dt and for parallel RLC circuit, a = = ZRC,W, = vc a) Find the 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 i_(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.