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# 2 001 - 3 f f Final Exam Fall 2006 Dr Shoane I(15 pts Given...

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Unformatted text preview: 3/, f, f, Final Exam Fall, 2006 Dr. Shoane I. (15 pts) Given the ﬁlter transfer function below, where R3 = 5 K9, C=5nF,RL= 50KQ,andL=2mH, _ jcoLR H003) = ’Z—T”—.—_L——“““ (1m) LCRSRL+jC0L(RL +RS)+RSRL Determine: (a) by inspection the type ﬁlter this transfer function represents (b) the resonant frequency (c) damping ratio 0 . K; Q7 (d) bandwidth (e) the half-power frequencies 4. (15 pts): Given the circuit below, where the transfer function between input voltage and . 1 . . . out 1;: voltage :5 H ‘a; 2—, and the in ut IS a sawtooth waveform wen b p ' (j ) 1+ j(2.5x10'°w) P g y .. 7 :3 Eerie: series 2.11;} = i'1-Si11[r1-2-%El‘], where A = 1 and T = 10 usec. Determine .-.=: "-71: the output vault) assuming we are only interested in the first two Fourier components of the input waveform. 0.5 H + v-m(!) 200 kg 5, (12 pts) Derive the differential equation corresponding to the op-amp circuit below. Use only “5” as the impedance variable, and inverse Laplace transform to obtain your solution. Assume zero initial conditions. ...
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