1256 Find the transfer function TVs =V2s=V1s for the circuit in Figure P1256. (a) Construct the straight-line Bode plot of the gain and phase of

12–56 Find the transfer function TVðsÞ =V2ðsÞ=V1ðsÞ for the circuit in Figure P12–56.

(a) Construct the straight-line Bode plot of the gain and phase of the transfer function. Use the straight-line plots to estimate the amplitude and phase of the steadystate output for v1ðtÞ = 10 cos 10t V, v1ðtÞ = 10 cos 100t V, and v1ðtÞ = 10 cos 1000t V.

(b) Calculate the actual output amplitude and phase for these three inputs and compare the results with your estimates.

(c) Use MATLAB to generate a Bode plot of your transfer function. Compare your answers from the straight-line plot and your hand calculations with that produced by MATLAB

1 F w 100 + + V(t) 1 V(1) FIGURE P12-56