ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Textbook Question
Chapter 15, Problem 14E
Determine the Bode magnitude and phase plot for each of the following:
(a)
(b)
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
www
13
F
5 Ω it (t)
www
vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 15 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 15.1 - Write an expression for the transfer function of...Ch. 15.2 - Calculate HdB at = 146 rad/s if H(s) equals (a)...Ch. 15.2 - Prob. 3PCh. 15.2 - Draw the Bode phase plot for the transfer function...Ch. 15.2 - Construct a Bode magnitude plot for H(s) equal to...Ch. 15.2 - Draw the Bode phase plot for H(s) equal to (a)...Ch. 15.2 - Prob. 7PCh. 15.3 - A parallel resonant circuit is composed of the...Ch. 15.3 - Prob. 9PCh. 15.4 - A marginally high-Q parallel resonant circuit has...
Ch. 15.5 - A series resonant circuit has a bandwidth of 100...Ch. 15.6 - Referring to the circuit of Fig. 15.25a, let R1 =...Ch. 15.6 - Prob. 13PCh. 15.6 - Prob. 14PCh. 15.6 - The series combination of 10 and 10 nF is in...Ch. 15.7 - A parallel resonant circuit is defined by C = 0.01...Ch. 15.8 - Design a high-pass filter with a cutoff frequency...Ch. 15.8 - Design a bandpass filter with a low-frequency...Ch. 15.8 - Design a low-pass filter circuit with a gain of 30...Ch. 15 - For the RL circuit in Fig. 15.52, (a) determine...Ch. 15 - For the RL circuit in Fig. 15.52, switch the...Ch. 15 - Examine the series RLC circuit in Fig. 15.53, with...Ch. 15 - For the circuit in Fig. 15.54, (a) derive an...Ch. 15 - For the circuit in Fig. 15.55, (a) derive an...Ch. 15 - For the circuit in Fig. 15.56, (a) determine the...Ch. 15 - For the circuit in Fig. 15.57, (a) determine the...Ch. 15 - Sketch the Bode magnitude and phase plots for the...Ch. 15 - Use the Bode approach to sketch the magnitude of...Ch. 15 - If a particular network is described by transfer...Ch. 15 - Use MATLAB to plot the magnitude and phase Bode...Ch. 15 - Determine the Bode magnitude plot for the...Ch. 15 - Determine the Bode magnitude and phase plot for...Ch. 15 - Prob. 15ECh. 15 - Prob. 16ECh. 15 - For the circuit of Fig. 15.56, construct a...Ch. 15 - Construct a magnitude and phase Bode plot for the...Ch. 15 - For the circuit in Fig. 15.54, use LTspice to...Ch. 15 - For the circuit in Fig. 15.55, use LTspice to...Ch. 15 - Prob. 21ECh. 15 - A certain parallel RLC circuit is built using...Ch. 15 - A parallel RLC network is constructed using R = 5...Ch. 15 - Prob. 24ECh. 15 - Delete the 2 resistor in the network of Fig....Ch. 15 - Delete the 1 resistor in the network of Fig....Ch. 15 - Prob. 28ECh. 15 - Prob. 29ECh. 15 - Prob. 30ECh. 15 - A parallel RLC network is constructed with a 200 H...Ch. 15 - Prob. 32ECh. 15 - A parallel RLC circuit is constructed such that it...Ch. 15 - Prob. 34ECh. 15 - Prob. 35ECh. 15 - An RLC circuit is constructed using R = 5 , L = 20...Ch. 15 - Prob. 37ECh. 15 - Prob. 38ECh. 15 - For the network of Fig. 15.25a, R1 = 100 , R2 =...Ch. 15 - Assuming an operating frequency of 200 rad/s, find...Ch. 15 - Prob. 41ECh. 15 - Prob. 42ECh. 15 - For the circuit shown in Fig. 15.64, the voltage...Ch. 15 - Prob. 44ECh. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - The filter shown in Fig. 15.66a has the response...Ch. 15 - Prob. 48ECh. 15 - Examine the filter for the circuit in Fig. 15.68....Ch. 15 - Examine the filter for the circuit in Fig. 15.69....Ch. 15 - (a)Design a high-pass filter with a corner...Ch. 15 - (a) Design a low-pass filter with a break...Ch. 15 - Prob. 53ECh. 15 - Prob. 54ECh. 15 - Design a low-pass filter characterized by a...Ch. 15 - Prob. 56ECh. 15 - The circuit in Fig. 15.70 is known as a notch...Ch. 15 - (a) Design a two-stage op amp filter circuit with...Ch. 15 - Design a circuit which removes the entire audio...Ch. 15 - Prob. 61ECh. 15 - If a high-pass filter is required having gain of 6...Ch. 15 - (a) Design a second-order high-pass Butterworth...Ch. 15 - Design a fourth-order high-pass Butterworth filter...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - (a) Design a Sallen-Key low-pass filter with a...Ch. 15 - A piezoelectric sensor has an equivalent circuit...Ch. 15 - Design a parallel resonant circuit for an AM radio...Ch. 15 - The network of Fig. 15.72 was implemented as a...Ch. 15 - Determine the effect of component tolerance on the...
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