An RLC circuit is shown below.
Determine the transfer function of the circuit
Determine the numerical value of the transfer function, as a complex number, at DC, at 1 radian/sec, and as frequency approaches infinity.
Determine what kind of filter (low pass, high pass, bandpass, or band stop) the circuit represents. Briefly justify your answer. Confirm by computing the Bode plot using MATLAB and paste the graph below.
Using Laplace transform methods you learned last week, determine the response of the circuit, Vout(t), if Vin(t) is a unit step, and calculate the numerical value of Vout(t) at t =1 second.
Is this a stable system? Why or why not?