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GCE 3050A — Fall 2002 Page t QUIZ NO. 2 - SOLUTION (Average = 5.6/10) a.) Find the transfer function, Vay,(s¥Vs(s), of the circuit shown and identify the location of the poles and zeros. What is the gain in the region where the transfer function is independent of frequency? RgalOkQ ror rr reer ect eny ey + + 7 + 1 Rie R= ' Gx Vit S10Ka Toe 2S Vow eet ‘ 10KQ i | 10m eoagozp1 + ___Amplifiert $1 Amplifier? 2. ! Youd) (Vou\f ¥2\(Vi) (-GRefsCy)\f_ 10R, Rin Vos) = (Vy JV, [Vi JE | Ryrlo, | Rr TiC; || Ry +Ray where G = 0.002 A/V. Rearranging gives, 5 Voutls) Riy__Y10sR\C, ¥_-GRz (oe To 1 Vs(s) =| Rg +Ryy [sR Cy+1 | sRyCotl JEL 2 Ss ss 10 +! 107 +1 Poles are at —l0 rads/sec, and —10+ rads/sec. and the zeros are at Q and co. The gain in the frequency independent range (midband) is -LOOV/V. b.) Sketch the asymptotic (straight-line) plot for the magnitude and phase of transfer function shown, Use the same plot for phase shifl. Label the phase shift on the right side of the plot. je A(s) = OOO AGa) = (ite ——— ia ja [. T hi. is) The asymptotic plot of the magnitude and phase of the above transfer function is shown: a. + 3270° 30E 4 20E 425° 10E 4 dB OE ~~ 180° -10 E- 4 -20E- 135° 308 wo -40 be 90° 0. 1000 10 1 Frequency (rads/sec) F02Q0281 
