Problem 2: Consider the simplified equivalent circuit of a second order EMI filter in Figure 2 where, equivalent LISN impedance RM = 502 and parasitic capacitance Cp = inF. Complete the following (50 points): a) Determine the transfer function between Vcm and Vx. 10 points). b) Design the filter i.e. select the values of Lcm and Cy to ensure that magnitude bode plot is below -80dB for the concerned frequency range of 20kHz and 30MHz. [10 points). Show the final bode plot of your solution. [12 points). c) What is the effect of the value of Lem on the bode plot? (6 points). d) What is the effect of the value of Cy on the bode plot? (6 points) e) What is the effect of the value of Cp on the bode plot? (6 points). V L2 Vc CM M R/2 20, " CE Figure 2 Hint: The transfer functions may be written in the form of poles, zeros, inverted poles, inverted zeros, dc gain in order to understand and visualize bode plots without requiring computer simulations. Use of a computer simulation software is permitted provided that your solution includes a narrative of why you arrived to that solution