Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Textbook Question
Chapter 4, Problem 4.18P
Find the potential at the origin produced by a line charge
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Students have asked these similar questions
For the circuit shown, let V₁ = 26, R1-30, R₂-40, R3-50, R4-20, R5-100, R6-10, and find:
RA
R5
R3
V
(+)
R₁
R₂
R6
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• The voltage v
(V)
• The power delivered by the power source Vs: Power=
{Hint: you can use voltage divider (VD) or any other method.}
(W)
In the circuit shown, let R₁-7, R₂-12, R3-24, R4-2, V₁ =17, V2 -68, and V3-51, to calculate the power
delivered (or absorbed) by the circuit inside the box, as follows:
{NOTE: On Multiple Choice Questions, like this problem, you have only one attempt }
1. The current I is equal to (choose the closed values in amperes)
-0.791
0
-0.756
3.022
0.756
(A)
-3.022
0.791
2. The power delivered (or absorbed) (choose the closest value in watts) (W)
373.345
0
-373.345
-52.234
52.234
65.079
O-24.833
R₁
V₂
R3
R₂
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V3
V₁
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R4
Determine X(w) for the given function shown in Figure (1) by applying the
differentiation property of the Fourier Transform.
x(t)
Figure (1)
-2
-1
1
2
Chapter 4 Solutions
Engineering Electromagnetics
Ch. 4 - Given E = Exax + Eyay + Ez3z V/m, where EX, Ey,...Ch. 4 - A positive point charge of magnitude q1 lies at...Ch. 4 - Given E=Epap+Ea+Ez+azV/m, where Ep, E and E2 are...Ch. 4 - An electric field in free space is given by...Ch. 4 - Consider the vector field G = (A/p) aa where A is...Ch. 4 - A electric field in free space is given as...Ch. 4 - Prob. 4.7PCh. 4 - Given E=-xax+yay,(a) find the work involved in...Ch. 4 - An electric field intensity in spherical...Ch. 4 - A sphere of radios a carries a surface density of...
Ch. 4 - At large distances from a dipole antenna (to be...Ch. 4 - Prob. 4.12PCh. 4 - Thee identical point charges of 4 pC each are...Ch. 4 - Given the electric field E=(y+1)ax+(x1)ay+2az find...Ch. 4 - Two uniform lines, 8 nC/m, are located at x=1, z=2...Ch. 4 - A spherically symmetric charge distribution in...Ch. 4 - Uniform surface charge densities of 6 and 2 nC/m2...Ch. 4 - Find the potential at the origin produced by a...Ch. 4 - Volume charge density is given as pv=poer/C/m3,...Ch. 4 - En a certain medium, the electric potential is...Ch. 4 - Prob. 4.21PCh. 4 - A Line charge of infinite length lies along the z...Ch. 4 - Prob. 4.23PCh. 4 - A certain spherically symmetric charge...Ch. 4 - Consider an electric field intensity in free space...Ch. 4 - Let us assume that we have a very thin, square,...Ch. 4 - By performing an appropriate Line integral from...Ch. 4 - Prob. 4.28PCh. 4 - A dipole having a moment P=3ax-5ay+10aznC.m is...Ch. 4 - Prob. 4.30PCh. 4 - A potential field in free space is expressed as...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - A sphere of radius a contains volume charge of...Ch. 4 - Four 0.8 nC point charge are located in free space...Ch. 4 - Surface charge of uniform density ps lies on a...
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- For a enahnced-type NMOS transistor with V₁=+1V and kn'(w/L)= 2 mA/V2, find the minimum VDs required to operate in the saturation region when VGS=+2 V. What is the corresponding value of ID?arrow_forward. Using Properties to find the Z-Transform including the region of convergence for x(n) = n (2)" cos(0.2π(n − 2))u(n − 1) - -arrow_forwardJ VDD M₁ In the circuit of figure shown below, determine the region of operation of M₁as Vigoes from VDD.to zero. (You may want to draw a plot or just explain by the range, remember the transistor is a PMOS) Assume VDD = 2.5 V and | VTH | = 0.4V. 5 + 1 Varrow_forward
- We wish to design the circuit of the figure shown below for a drain current of 1 mA (l=1mA). If W/L = 18/0.18, compute R1 and R2 such that the input impedance is at least 20 k. R₁ VDD = 1.8 V 500 Ω M₁ R₂arrow_forwardIn the figure shown below, what is the minimum allowable value of VDD if M₁ must not enter the triode region? Assume λ=0 (use ideal current formula that is not dependent on VDs) 1 V + RD VDD = 1.8 V T M 500 Ω 1 W 10 L = 0.18arrow_forwardCalculate the total charge stored in the channel of an NMOS device if Cox=10fF/um², w=10 µm, L=0.1 μm, and VGS-VTH=1 V. Assume VDs=0. (means there is no movement of electrons, all of them are piled up in the channel, we want to calculate the magnitude of electron charge |Q|)arrow_forward
- The first photo is question 1arrow_forwarda) 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 +6arrow_forwardQuestion 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 responsearrow_forward
- 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
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