1. Consider the given RLC circuit. R w + Vo(t) Vs(t) a. (5) Find the transfer function, H(jw) Vo = Vs in terms of R, L, C and w. b. (3) Find the magnitude of the transfer function. c. (4) Find the expression for steady-state output, vo(t) provided R = 6 Q2, L = 1 H, C = 2 F, and vs(t) 150 cos(250t - 45º) V. d. (3) Calculate the driving-point impedance seen by the source for the RLC circuit in terms of R, L, C and co. e. (1) Calculate the driving-point impedance seen by the source for the RLC circuit using the component values and the frequency given in part c. f. (1) Is the circuit resistive, capacitive or inductive at the frequency given in part c? g. (1) Calculate the driving-point admittance seen by the source for the RLC circuit using the component values and the frequency given in part c. h. (2) Find the frequency (in rad/s) for which the circuit will behave completely resistive.