ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Chapter 4, Problem 45E
To determine
Find the value of the mesh current
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The first photo is question 1
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
Chapter 4 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 4.1 - For the circuit of Fig. 4.3, determine the nodal...Ch. 4.1 - For the circuit of Fig. 4.5, compute the voltage...Ch. 4.1 - For the circuit of Fig. 4.8, determine the nodal...Ch. 4.2 - For the circuit of Fig. 4.11, compute the voltage...Ch. 4.3 - Determine i1 and i2 in the circuit in Fig. 4.19....Ch. 4.3 - Determine i1 and i2 in the circuit of Fig 4.21....Ch. 4.3 - Determine i1 in the circuit of Fig. 4.24 if the...Ch. 4.4 - Determine the current i1 in the circuit of Fig....Ch. 4.4 - Determine v3 in the circuit of Fig. 4.28. FIGURE...Ch. 4 - Solve the following systems of equations: (a) 2v2 ...
Ch. 4 - (a) Solve the following system of equations:...Ch. 4 - (a) Solve the following system of equations:...Ch. 4 - Correct (and verify by running) the following...Ch. 4 - In the circuit of Fig. 4.35, determine the current...Ch. 4 - Calculate the power dissipated in the 1 resistor...Ch. 4 - For the circuit in Fig. 4.37, determine the value...Ch. 4 - With the assistance of nodal analysis, determine...Ch. 4 - Prob. 9ECh. 4 - For the circuit of Fig. 4.40, determine the value...Ch. 4 - Use nodal analysis to find vP in the circuit shown...Ch. 4 - Prob. 12ECh. 4 - Prob. 13ECh. 4 - Determine a numerical value for each nodal voltage...Ch. 4 - Prob. 15ECh. 4 - Using nodal analysis as appropriate, determine the...Ch. 4 - Prob. 17ECh. 4 - Determine the nodal voltages as labeled in Fig....Ch. 4 - Prob. 19ECh. 4 - Prob. 20ECh. 4 - Employing supernode/nodal analysis techniques as...Ch. 4 - Prob. 22ECh. 4 - Prob. 23ECh. 4 - Prob. 24ECh. 4 - Repeat Exercise 23 for the case where the 12 V...Ch. 4 - Prob. 26ECh. 4 - Prob. 27ECh. 4 - Determine the value of k that will result in vx...Ch. 4 - Prob. 29ECh. 4 - Prob. 30ECh. 4 - Prob. 31ECh. 4 - Determine the currents flowing out of the positive...Ch. 4 - Obtain numerical values for the two mesh currents...Ch. 4 - Use mesh analysis as appropriate to determine the...Ch. 4 - Prob. 35ECh. 4 - Prob. 36ECh. 4 - Find the unknown voltage vx in the circuit in Fig....Ch. 4 - Prob. 38ECh. 4 - Prob. 39ECh. 4 - Determine the power dissipated in the 4 resistor...Ch. 4 - (a) Employ mesh analysis to determine the power...Ch. 4 - Define three clockwise mesh currents for the...Ch. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - Prob. 45ECh. 4 - Prob. 46ECh. 4 - Prob. 47ECh. 4 - Prob. 48ECh. 4 - Prob. 49ECh. 4 - Prob. 50ECh. 4 - Prob. 51ECh. 4 - Prob. 52ECh. 4 - For the circuit represented schematically in Fig....Ch. 4 - The circuit of Fig. 4.80 is modified such that the...Ch. 4 - The circuit of Fig. 4.81 contains three sources....Ch. 4 - Solve for the voltage vx as labeled in the circuit...Ch. 4 - Consider the five-source circuit of Fig. 4.83....Ch. 4 - Replace the dependent voltage source in the...Ch. 4 - After studying the circuit of Fig. 4.84, determine...Ch. 4 - Prob. 60ECh. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Employ LTspice (or similar CAD tool) to verify the...Ch. 4 - Verify numerical values for each nodal voltage in...Ch. 4 - Prob. 65ECh. 4 - Prob. 66ECh. 4 - Prob. 67ECh. 4 - Prob. 68ECh. 4 - Prob. 69ECh. 4 - (a) Under what circumstances does the presence of...Ch. 4 - Referring to Fig. 4.88, (a) determine whether...Ch. 4 - Consider the LED circuit containing a red, green,...Ch. 4 - The LED circuit in Fig. 4.89 is used to mix colors...Ch. 4 - A light-sensing circuit is in Fig. 4.90, including...Ch. 4 - Use SPICE to analyze the circuit in Exercise 74 by...
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- 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 - 6arrow_forwardWrite 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_forward
- Pls show neat and whole solutionarrow_forward2. Find the steady-state current i(t) in the circuit shown below when Vs(t) = 100cos(500t -30) volts. Express your answer in cosine form i.e., i(t) Im cos (oot+). (20 pts) LLE) 10052 Vs (E) 40uF 0.3 Harrow_forward1. Determine the thevenin equivalent circuit (i.e., Vth, Zth) from the terminals a-b in the circuit shown below. (15 pts) j512 1052 1020arrow_forward
- Need schematic diagram for this computerized don't use guidelines answer okk will dislikearrow_forwardthe question with its answer but i still dont see how the expansion and the calculation done. please show detailed steps.arrow_forwardQ6) Find the current density J for the magnetic field intensity vectors: (a) H = x²yax + y²zay - 2xzaz pzap + p³a + 3pz²a (b) H = sin cos (c) H = a,arrow_forward
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