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f, Final Exam
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
: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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- Spring '09