Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 15, Problem 41P
(a)
To determine
Design a low-pass unity-gain Butterworth filter which has a cutoff frequency of 8 kHz and is down at least 48 dB at 32 kHz.
(b)
To determine
Sketch the circuit diagram of a low-pass unity-gain Butterworth filter and also label all the components.
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2.52. The step response s(t) of a continuous-time LTI system is given by
s(1) = [cos wol ]u(1)
Find the impulse response h(t) of the system.
Ans. h(t)=8(1) - wo[sin w₁t]u(t)
2.48. Show that if y(t) = x(t)* h(t), then
y' (t) = x' (1) * h(t) = x(t) * h'(t)
Hint: Differentiate Eqs. (2.6) and (2.10) with respect to t.
2.49.
Show that
x(1) * 8'(t) = x(t)
Hint: Use the result from Prob. 2.48 and Eq. (2.58).
2.47. Compute the convolution sum y[n] = x[n]+h[n] of the following pairs of sequences:
(a) x[n] = u[n], h[n] = 2"u[n]
(b) x[n]=u[n]-u[n-N], h[n]=a"u[n], 0 < a <1
(c) x[n]=()"u[n], h[n] = 8[n] - 8[n-1]
Chapter 15 Solutions
Electric Circuits. (11th Edition)
Ch. 15.1 - Compute the values for R2 and C that yield a...Ch. 15.1 - Prob. 2APCh. 15.2 - Prob. 3APCh. 15.4 - Prob. 4APCh. 15.5 - Prob. 5APCh. 15.5 - Prob. 6APCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Design an op amp-based low-pass filter with a...Ch. 15 - Prob. 4P
Ch. 15 - Prob. 5PCh. 15 - Use the result of Problem 15.5 to find the...Ch. 15 - Repeat Problem 15.6, using the circuit shown in...Ch. 15 - Prob. 8PCh. 15 - Using only three components from Appendix H,...Ch. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Scale the inductor and capacitor in Fig. P9.66 so...Ch. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Design a bandpass filter, using a cascade...Ch. 15 - Prob. 31PCh. 15 - Show that the circuit in Fig. P15.32 behaves as a...Ch. 15 - For circuits of resistors, capacitors, Inductors,...Ch. 15 - Prob. 34PCh. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - Prob. 41PCh. 15 - Prob. 42PCh. 15 - Prob. 46PCh. 15 - Prob. 47PCh. 15 - The purpose of this problem is to guide you...Ch. 15 - Assume the circuit analyzed in Problem 15.48 is...Ch. 15 - The purpose of this problem is to develop the...Ch. 15 - Prob. 54PCh. 15 - Prob. 55PCh. 15 - Prob. 57PCh. 15 - Use 20 nF capacitors in the circuit in Fig. 15.27...Ch. 15 - Prob. 59PCh. 15 - Prob. 61PCh. 15 - Use the circuit in Fig. 15.33(a) to design a bass...Ch. 15 - Plot the maximum gain in decibels versus α when =...Ch. 15 - Prob. 64P
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