Question

g) The Bode magnitude plot of a system is given below (note gains are in dB scale). What are the five (approximate) amplitudes of the sinusoidal outputs if the inputs are u(t) = sin(w t) (i.e. input amplitude is 1) where w are respectively: i) 0.1 rad/s; ii) 2.1 rad/s; iii) 3 rad/s; iv) 4.3 rad/s; v) 10 rad/s. Magnitude gain - dB 10 100 Frequency - [rad/s]

Answer 1

Magnitude gain - dB 100 104 Frequency - (rad/s)

= Sin Iwt) = 4(+) (i) w owl lad) seca . Join (de) = odb = 20 logA WAT i Vout - Axult) = l sin Court) Cü) 20=2.) lad/sec gain (de) = -5.5d8 = 2o login ' Vout = (-88 sin (4:14)

Cows 3 had/sec gain (dB) = 14 dB = Eologa A = 102 - 5 - Vout 1) = 5 sin (34) (īv) ws y 3 dad/sec gain (dB) = odB =) A Vout (t) = 1 sin (4:34) W = lo. lad/sec gair (dB) = - E0 dB = 20 loqa A sin cool i Vout (t) = .001 Sin Croty