Question

S+5 e. L1 = 10nH, R = 1009, and R2 = 0!! 6) Given a system with a transfer function of H(S) = 7002 a. Write the steady state output of the system if the input is y(t) = sin(2000) b. Sketch the Bode plot no 30 1

Answer 1

Ans G 700 (Sts) given H(S) = 32 +12405 +48000 a) X(t) = sin(root) for Sinusoidal input the output of LT I System is yet) = /h(co) / Sin( poot + ZH(wo)) where Hecos - Fabia Cox 240 45ced] H(600) = 100 r stjxoo 8000+;248000 IH (Woll = LH wo) = 0.564 0.42° so lyct) = 0.564 Sin (200t +0:42°), (6) for bode plat System in pole-zero form H(S) - Too (5+5) (5+40) ($+1200) so System has Corner freqh at was, 40, 1200 and DC gain is HQ = 7cm X c = 0.0729 Ho) (dB) = 20 log 0.0729 =- 22.74 dB 40x200

So the bode plot is given as 1H (W) dB od Bldecade -20 dB/decade 120dB/decade - 22.74 + od 8/decede w I 200 LH(w) 906 oo Idecade -45°/deade +45°/decade -45° deade -45) T o dos 120 sw you 1200