Question

Consider the circuit in Figure 7. Show that the transfer function T(s) = Vz(3)/V (s) has a low-pass gain characteristic. Select element values so the passband gain is 4 and the cut off frequency is 100 rad/s. os W R1 R2 Vis) V2(8) Figure 7

Answer 1

HE ₂3 R2 m Alon (5) V₂ (s) ( a ) led at node 'A' Apply O-V,(s) 0 - ₂ (s) 0 V₂ (5) +00 I CS Ra of GS wal. V.6) () 205) -R₂ for RGS V₂CS It Rzas 15 R2 V₂ (5) R. (1+ R₂ (25) V. (s)

we have T67= It R₂ C₂ S R2 y Ts=o) = -R/R, RI Ito ho how frequency passes 7(s=o) = - Rz Ri - R₂ Ris R₂ (₂ It R₂ C₂ 3 + AT (3=0.0 stops ✓ Hurgh frequency slips flince how pass filter. R2 have, 7(1): we It R₂ (23 Tliul? - Reln, it in R₂ C₂ Cut off frequency for a how Puss filter, We = 1 R2C2

3 Tline) - R2 elke 14 قيا و فيها for a how pass filter, Ly Cut off fregung der er en gain, IT(w=o) | y mid hand = do= R₂ ų Rass band goin, RI li (audel Aca Ao 12 Coven that Åa 4 Ao = Ac#22 4*k Ao= 5.65 40

we have - 5.65 Ro The values Selected must satisfy the above two Conditions. X