HW 3 Problem 1: RLC Filters Consider this RLC circuit: w R Vi +1 L C Let R 6000, L = 400mH, and C = 2.5μF. 1) Derive the transfer functions for the circuit if the output voltage is the voltage across the capacitor, the voltage across the inductor, and that across the resistor. 2) Examine Bode Plots for these three cases and identify them as LP, HP, and bandpass. 3) Find the cutoff frequency fзaB for the LP filter. Find the Q factor of the transfer function.