Question: 2. We consider the differential equation satisfied by the capacitor voltage vc(t) in the transient response of an RLC circuit: [2+2 +3 + 3 +1=11

2. We consider the differential equation satisfied by the capacitor voltage

2. We consider the differential equation satisfied by the capacitor voltage vc(t) in the transient response of an RLC circuit: [2+2 +3 + 3 +1=11 marks] R L d2 vc wo duc + wave = wovin (t ) , + o dt (1) + dt2 Vin C vc(t) where wo is the undamped frequency, Q is the quality factor, vin is the voltage source. Background: https: //en. wikipedia. org/wiki/RLC_circuit (a) Consider a circuit with wo = 10 (rad/s) , C = 1F, Q = 0.5 and with the voltage source set to zero, so that Vin (t) = 0. Find the general solution for the capacitor voltage vc(t). (b) A circuit is underdamped when the transient response includes oscillatory solutions. For the system given in (2a), how should we change Q in order for the circuit to be underdamped- should we increase, decrease, or keep @ the same

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