Design an R-C low-pass filter to have a cutoff frequency of 500 Hz using a resistor of 1.2 k. Then sketch the result- ing magnitude and phase plot for a frequency range of 0. If to 10f.

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Problem 9. Consider the filter shown in the figure below. a) Derive an expression for the transfer function H(f) = Vout Vin b) Use MATLAB to obtain a Bode plot of the transfer-function magnitude for R₁ = 9 kQ, R₂=1 kQ and C = 0.01 μF. Allow the frequency to range from 10 Hz to 1 MHz. wwwwwwww c) At very low frequencies, the capacitance becomes an open circuit. In this case, determine an expression for the transfer function and evaluate for the circuit parameters of part (b). Does the result agree with the value plotted in part (b)? Vin + C HE ww R₁ R₂ Yout