Question

Can you help me solve this problem and show the steps?

Demonstrate with calculations the transfer function of the circuit below. Then calculate the pole and zero for R = 1 kOhm and C = 10 uF (micro Farads). Then draw the magnitude and phase plots as a function of frequency. If your drawing is not square, you will lose 2 pts per crooked line. R + + Vin(t) C: Vou(t)

Answer 1

Solution given data R t I Vourlit). Vinlt T Rakohim. Ć lo MF es Since at the fole terminal chraut is open hence caput current will flow through the capacitor only and there will be in the ole Node.. no curret Now! Vin(t) = ( 8+ Two ) TWC Vout (t) = TWC for finding the transfer function (TF) eghin divided ebay eqņ(!) TF Vout (t) Vin (1) ( R + - Twe I Thic TE Twe (R+ Twe Τως TF: TWC (1 T W Re )

1. TA- 1+T WRC Now Substitite the the values of R and C Tf= It yw x1000 xloxio 6 Tf= 1oo 4 7 W x 102 Too of yw TE = lont To This is thi required Transfer function,

- Now. T- 2. 17 Jwx15 It Two Iw It JWT MPEIAMO A Poleg tepat Magnitude table factor 0 = 1 Cornen freq Magnitule -20 bogd odb Hjem 00 bolognese £-20 db/dec] Magnitude Plot log ke Hlodb +2016 db|det) odb loo logu (-20 db/oles) -odbit Modo La -100 (74

Phase LTF = tan ZTF age = lo 450 Ps - tam 1. :) tom (1) .pma. 160+ $ = 196 - 4591300 Tpm PM = 1350