5. A circuit is shown below.

a. Determine its transfer function Vout/(Vin ) using the voltage divider method.

b. Now using MATLAB, create a Bode plot of the transfer function of the circuit and paste it below.

c. Determine what kind of filter (low pass, high pass, bandpass or band stop) the circuit is.

d. Using the methods explained in class, estimate the numerical value of the transfer function, as a complex number, at the following three frequencies: DC or 0 radians/sec; 1 radian/sec; and as frequency approaches infinity.

e. Express the results in polar form of complex numbers. Express the gain of the circuit at 1 radian/sec in decibels and its phase angle at 1 radian/sec in degrees.

R1 C1 Vin