Question

C 1m2 w 1E-4 1E-10 2.1: What is the resonant frequency of the circuit? 2.2: When R = 100.01 kO 1. What is the damping ratio, 5? 2. Sketch the Bode plot of the magnitude (dB-log) when Vout is the voltage across the inductor, H(s) VL(s)N1(s) 3. Sketch the Bode plot of the magnitude (dB-log) when Vout is the voltage across the resistor H(s) = VR(s)N1(s) 2.3. When R = 20000, 1. What is the damping ratio, ? 2. Sketch the Bode plot of the magnitude (dB-log) when Vout is the voltage across the inductor, H(s) = VL(s)N1(s) 3. Sketch the Bode plot of the magnitude (dB-log) when Vout is the voltage across the resistor, H(s) = VR(s)V1 (s)

Answer 1

2.1 SOtution: - Resonant -requency f = 2n/ 26)(9 2tTLL 59 XI0°HJ{ 2.2 R:100.01 k2 Dampng Ratio (3) RC 2 3 -50 (2) VCs) ViCs) 0o.01X0so VECS) 62(100-01 k) S+ 10 tii) : Vils) ViCS) 10 5+(Loo.01k) +10' :201d apog oalslvee Come -fresuency wd4 Croosl + -1600B V,CS) x LOO.01 k loo.01K+ 10s+ (3 Bode plot- L00.01K tos0001k)5.+1dD +Cs) t2Blec -20dDluc sCi000I s tio4 -uo Lot

2 3 R: 2000.0 2000 loto Ratio Dampfrg 1. 31 us 2 VCS) V,Cs) x 2000t 10S+ s) VCs) +2000 S+1D S(2x 1) 51d4 nodBlaee +uodBldep -3D 2000 VRS) VS) t - 2000+ to 'S + VRCS) ViCs) 2000 ) = LOst2000s+ lo (2 x1S HI) : 2 xto)s Stid Bode plot:. 2dolslolec 10구
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