Consider a system for which the output voltage is vo (t) =

Chapter 6, Problem P6.20

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Consider a system for which the output voltage is vo (t) = vin (t) + vin % t 2 103 & . (In other words, the output equals the input plus the input delayed by 2 ms.) Given that the input voltage is vin (t) = Vmax cos(2ft), find an expression for the output voltage as a function of time. Then, find an expression for the transfer function of the system. Use MATLAB to plot the magnitude of the transfer function versus frequency for the range from 0 to 2000 Hz. Explain in terms of the phasors for vin (t) and for vin % t 2 103 & why the transfer function has the magnitude it does for f = 250 Hz. Repeat for f = 500 Hz.

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