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Unformatted text preview: ECEN 325: Electronics
Midterm ~ Oct. 2  2007
Instructor: Sebastian Hoyos 1. (30%) Draw a lowpass RC circuit and derive its transfer function in dB scale. Also plot
the magnitude and phase (Bode Plots). Clearly indicate the DC gain, the 3 dB cutoff
frequency, the slope of the curve, etc. V CAMS vuo’EQ/S” 1 9w 2. (30%) Draw a lossy integrator and derive its transfer function in dB scale. Also plot the
magnitude and phase (Bode Plots). Clearly indicate the DC gain, the 3 dB cutoff frequency,
the slope of the curve, etc. P\Z0\C€ V class vcotc, , 9w % 3. (40%) Consider the circuit below with and ideal Op—Amp. (a) (10%) Assume that the input is a DC voltage. How can you model the capacitors in this
case? What is the gain Vo/Vi .7 (b) (10%) Assume that the input is a sinewave at a very high frequency such that the
impedances of the capacitors are much smaller than the resistances R1 and R2. How can you
modeled the parallel combination of the capacitors and resistors? What is the gain Vo/ Vi .7 (c)(10%)Find the transfer function Vo(jw)/Vi(jw). Deﬁne a); = 1/(R1C1) and a); = l/(R2C2). Plot the phase and magnitude of the transfer function in dB scale (Bode Plots) for the
following 2 cases: (d)(5%) 601 << 602
(c)(5%) 602 << (01 Clearly indicate the DC gain, the 3 dB cutoff frequency, the slopes of the curve, the high
frequency gain, etc. Hint: Compare these plots with your answers in 3(a) and 3(b) ...
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 Spring '08
 SILVA
 Decibel, Bode Plots, Sebastian Hoyos, dB cutoff frequency

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