Consider the filter shown in Figure P6.91. a. Derive an
Chapter 6, Problem P6.91(choose chapter or problem)
Consider the filter shown in Figure P6.91. 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 k, R2 = 1 k, and C = 0.01F. Allow frequency to range from 10 Hz to 1 MHz. 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)? d. At very high frequencies, the capacitance becomes a short 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 R2
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