(a) For this circuit, find the transfer function, Vo(jω)/Vin(jω).
(b) For L = 200μH and R = 200Ω, calculate the magnitude of the transfer function at ω = 1Mrad/s (10^6 rad/s).
(c) Find the phase of the transfer function at ω = 1Mrad/s, in both radians and degrees.
(d) If Vin(t) = 10V cos(10^6t + 1.57 radians), what is Vo(t)?