(1) Derive the following RLC circuit's transfer function.
(2) What is the order of the system?
(3) If R = 50 Ω, L = 0.3 H, C = 15 μF, Vs,max = 25 V, ω = 50 Hz, plot the system's Bode diagram using MATLAB (refer to 09-14-23 lecture note).
R
L
+ C
+
Us(t)