test4_F05_solutions

test4_F05_solutions - ECE211 — 001 Test #4 November 21,...

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Unformatted text preview: ECE211 — 001 Test #4 November 21, 2005 Print Name K e By signing I am stating that I have taken this quiz in accordance with the NCSU honor code. Signature / 1. Given the input of the circuit above is V1 and the output is V2, 10 a. Use nodal analysis to find the transfer function H(s).$’ b. Determine the output voltage for an input of 2005(21: + 45°)Volt33 0. Write the differential equation that relates V2 to v1. /-\ Coy V; ' Vz-V; " VL'VI Jr 1210.5 ’fi " ‘1 ‘0 I‘l- KCLGEVLZ 55 2. Draw the Bode magnitude plot for the transfer function below. 4s(s2 + 50s + 10,000) ms) 2 (s +1)(s + 20)2 \ . z a _K ’7 LIC’OIC‘OQW 5 Cs/Ioo‘+3‘%ooL5x-\ 3. Draw the Bode phase plot for the transfer function below. s2(s+100) _ (s2 +10s +100; H(s)= Z _ 20w—j4a)2 “1 2w+j(2w2—10) 4a. Find the resonant frequency of the circuit with input impedance shown above. «310 w a- ) we“ (103*) @001" “‘5 2w + (not “\0) {9304—3 filwlfio) Wan? - ‘jQOKQL&LUI+\C:> 1) Sim - (gawk—:0) (new) 2%: Huy- + L&L;\>L Mo)?” -* ~ / 3+» wkov-SKDS ‘ 5" r “wig 5 Hoot) 290g ‘ :1 O wPb/vgz3 6% L1 co?- av «ad 4032— . 49K? . ,_ of : SBOOLO LUZ : (goo/5‘38 "-‘- ICC/$675 : BEE/W b. Given the 2 plots of |Z| vs. 0), determine the cutoff frequencies for each and circle the one with the highest quality factor. 4s+5 Givean = () s+10 Determine the DC gain. Determine the infinite frequency gain. Find the half power frequency. Specify the order and type of this filter. Sketch IHG co)! labeling all important frequencies and magnitudes (a through c). 951.0979: 9' "iw +3 wow-ean V1 Lf/ I H’LJUDD‘: (J .__ l: L M L \[E J‘®+\O k9; --\— \OQ HOLDE+E§§ \ 5; veal-Hoe \ ng/Z Argbg :: Jran ...
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test4_F05_solutions - ECE211 — 001 Test #4 November 21,...

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