Electric Circuits, Student Value Edition Format: Unbound (saleable)
11th Edition
ISBN: 9780134747170
Author: NILSSON, James W.^riedel, Susan
Publisher: Prentice Hall
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Chapter 9, Problem 73P
a.
To determine
Find the value of
b.
To determine
Find the steady-state expression for
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Students have asked these similar questions
a) Write down the order of the transfer function in each of the following cases. Assume that
there are no terms in the numerator that will cancel terms in the denominator.
10
H(s)
H(s)
=
s+1
5
(s+3)(s—. 4)
4s1
5
H(s)
=
H(s)
-
83 +1
s27s
6
H(s)
H(s)
=
s(s²+4s)
2s27s+1
84583882 +3s+2
H(s)
83 +8
s+1
=
H(s)
s34s26s+5
s52s4383 + 4s2 +5s +6
Question 5 (
A system is found to have zeros of -3 and poles of 4, and -2. The system also has a gain of
4. Write out the corresponding transfer function.
Question 6.
A system has a transfer function of
What is the gain, K, of the system?
Question 7 (
A system has a transfer function of
H(s)
-
4
8+5
H(s):
=
4
8 +5
A step input of size 3 is applied to the system at time zero (Since we're dealing with transfer
functions, x(0) is also zero at time zero).
a) [10] What is the response ✗(s) of the system?
b) [10] Derive the time dependent solution, x(t), of this response
Note: You might want to do the last question first because the last question asks you to
write some python code to calculate the zeros and poles. You could use that code here to
help you (except the first problem which you should be able to do by inspection alone)
Find the poles and zeros for each of the following transfer functions
1.
S+3
H(s)
=
8 5
2.
H(s):
=
s238 +1
s2 +48 +3
3.
s(s+4)
H(s)
s3+2s23s
4.
82-586
H(s) =
-
8382-68
5.
H(s):
=
s2 +48 +3
s45836s2 - 6
Chapter 9 Solutions
Electric Circuits, Student Value Edition Format: Unbound (saleable)
Ch. 9.3 - Prob. 1APCh. 9.3 - Prob. 2APCh. 9.4 - Prob. 3APCh. 9.4 - Prob. 4APCh. 9.5 - Four branches terminate at a common node. The...Ch. 9.6 - A 20 resistor is connected in parallel with a 5...Ch. 9.6 - The interconnection described in Assessment...Ch. 9.6 - Prob. 9APCh. 9.7 - Find the steady-state expression for vo (t) in the...Ch. 9.7 - Find the Thévenin equivalent with respect to...
Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - A sinusoidal voltage is given by the...Ch. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Prob. 10PCh. 9 - Use the concept of the phasor to combine the...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - Prob. 13PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - Prob. 15PCh. 9 - A 10 Ω resistor and a 5 μF capacitor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - For 1he circuit shown in Fig. P9.27 find the...Ch. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Find the steady-state expression for vo in the...Ch. 9 - Prob. 33PCh. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - The circuit shown in Fig. P9.36 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - The source voltage in the circuit in Fig. P9.41 is...Ch. 9 - Find Zab for the circuit shown in Fig P9.42.
Ch. 9 - Use source transformations to find the Thévenin...Ch. 9 - Use source transformations to find the Norton...Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Prob. 47PCh. 9 - Find the Norton equivalent with respect to...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Prob. 51PCh. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find V0 and I0 in...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Use the mesh-current method to find the branch...Ch. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - For the circuit in Fig. P9.67, suppose
What...Ch. 9 - For the circuit in Fig. P9.68, suppose
What...Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Find the steady-state expressions for the currents...Ch. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - Prob. 78PCh. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 83PCh. 9 - Prob. 84PCh. 9 - Prob. 86PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90PCh. 9 - Prob. 91P
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- Write python program to plot the zeros and poles if a user provides the coefficients for the numerator and denominator of the transfer function. Since the zeros and poles can be complex, this plot is essentially and argand diagram, where the x axis is the real component and the y axis the imaginary component of a given zero or pole. Create a method called plot-poles zeros(num, den) which takes two lists containing the coefficients. Here is an example and the resulting plot. num [1, 3, 7] # yields zeros at -1.5 +/- 2.17945j den = [1, 4, 5, 3] # yields poles at -2.46557, -0.7672143 +/- 0.7925519j plot_poles_zeros(num, den) Imaginary Page 2 Pole-Zero Plot 3 Zeros × Poles 2 1 -2 1 * Real When you write your code you are only allowed to use the packages numpy and matplotlib. Make sure you label the axes, provide a legend and give a title to your plot (See the example plot). Hint: numpy has a method called roots. When given a list of numbers corresponding to the coefficients of a polynomial,…arrow_forwarda) [10] Compute the zeros and poles for the following transfer function: $2 +5s+6 H(s): s2 +3s+2 b) [10] Factor both polynomials in the numerator and denominator. What does this tell you about one of the poles and zeros you found in a)?arrow_forwardPls show neat and whole solutionarrow_forward
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