Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 7.5, Problem 10P
Derive an expression for vout in terms of vs for the circuit shown in Fig. 7.29.
FIGURE 7.29
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Prelab Information
1. Laboratory Preliminary Discussion
First-order Low-pass RC Filter Analysis
The first-order low-pass RC filter shown in figure 1 below represents all voltages and currents in the time domain. It is of course
possible to solve for all circuit voltages using time domain differential equation techniques, but it is more efficient to convert the
circuit to its s-domain equivalent as shown in figure 2 and apply Laplace transform techniques.
vs(t)
i₁(t)
+
R₁
ww
V₁(t)
12(t)
Lic(t)
Vout(t)
=
V2(t)
R₂
Vc(t)
C
Vc(t)
VR2(t)
= V2(t)
+
Vs(s)
Figure 1: A first-order low-pass RC filter represented in the time domain.
I₁(s)
R1
W
+
V₁(s)
V₂(s)
12(s)
Ic(s)
+
Vout(S)
==
Vc(s)
Vc(s)
Zc(s)
=
=
VR2(S)
V2(s)
Figure 2: A first-order low-pass RC filter represented in the s-domain.
A.15 Consider a communication channel, transfer characteristic of which is defined
by the nonlinear relation, y(t) = x(t) + x² (t), where x(t) is the input and y(t) is the
output. Assuming the input is an FM signal, x(t) = cos (2лft+(t)), find y(t). Is
it possible to retrieve x(t) from y(t)? If so, how?
1) Show that a regenerative receiver can be used to recover message from the following modulated
signals.
a. DSB-PC
b. DSB-SC
1b) Does the receiver need to recover the carrier phase?
1c) What are the filtering requirements and restrictions on message signal bandwidth and carrier
frequency.
Chapter 7 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 7.1 - Determine the current flowing through a 5 mF...Ch. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.2 - 7.4 The current through a 200 mH inductor is shown...Ch. 7.2 - The current waveform of Fig. 7.14a has equal rise...Ch. 7.2 - Prob. 6PCh. 7.2 - Let L = 25 mH for the inductor of Fig. 7.10. (a)...Ch. 7.3 - Find Ceq for the network of Fig. 7.23. FIGURE...Ch. 7.4 - If vC(t) = 4 cos 105t V in the circuit in Fig....Ch. 7.5 - Derive an expression for vout in terms of vs for...
Ch. 7.6 - Prob. 11PCh. 7 - Making use of the passive sign convention,...Ch. 7 - Prob. 2ECh. 7 - (a) If the voltage waveform depicted in Fig. 7.42...Ch. 7 - A capacitor is constructed from two brass plates,...Ch. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Design a capacitor whose capacitance can be varied...Ch. 7 - Design a capacitor whose capacitance can be varied...Ch. 7 - Prob. 9ECh. 7 - Assuming the passive sign convention, sketch the...Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Calculate the power dissipated in the 40 resistor...Ch. 7 - Prob. 15ECh. 7 - Design a 30 nH inductor using 28 AWG solid soft...Ch. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Calculate vL and iL for each of the circuits...Ch. 7 - The current waveform shown in Fig. 7.14 has a rise...Ch. 7 - Determine the inductor voltage which results from...Ch. 7 - Prob. 24ECh. 7 - The voltage across a 2 H inductor is given by vL =...Ch. 7 - Calculate the energy stored in a 1 nH inductor if...Ch. 7 - Determine the amount of energy stored in a 33 mH...Ch. 7 - Making the assumption that the circuits in Fig....Ch. 7 - Calculate the voltage labeled vx in Fig. 7.52,...Ch. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Determine an equivalent inductance for the network...Ch. 7 - Using as many 1 nH inductors as you like, design...Ch. 7 - Compute the equivalent capacitance Ceq as labeled...Ch. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Reduce the circuit depicted in Fig. 7.59 to as few...Ch. 7 - Refer to the network shown in Fig. 7.60 and find...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Let vs = 100e80t V with no initial energy stored...Ch. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Interchange the location of R1 and Cf in the...Ch. 7 - For the integrating amplifier circuit of Fig....Ch. 7 - Prob. 53ECh. 7 - For the circuit shown in Fig. 7.73, assume no...Ch. 7 - A new piece of equipment designed to make crystals...Ch. 7 - An altitude sensor on a weather balloon provides a...Ch. 7 - One problem satellites face is exposure to...Ch. 7 - The output of a velocity sensor attached to a...Ch. 7 - A floating sensor in a certain fuel tank is...Ch. 7 - (a) If Is = 3 sin t A, draw the exact dual of the...Ch. 7 - Draw the exact dual of the simple circuit shown in...Ch. 7 - (a) Draw the exact dual of the simple circuit...Ch. 7 - (a) Draw the exact dual of the simple circuit...Ch. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - For the circuit of Fig. 7.28, (a) sketch vout over...Ch. 7 - (a) Sketch the output function vout of the...Ch. 7 - For the circuit of Fig. 7.72, (a) sketch vout over...
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