Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 4, Problem 4.4P
An electric field in free space is given by
Find the work done in moving a.μC charge though this field (a)from (1,1,1) to (0,0,0; (b) (p=2, ∅=0) to (p=2,∅=90°); (c) from (r=10,θ=θ0)to (r=10,θ=θ0+180°).
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Q3.
a)
The frequency response method enables the study of the steady-state
response of a system G(s). What type of inputs are used for frequency
response? If the system is linear and stable, how does the output differ
from the input? Compare the main characteristics of two types frequency
response plots.
b) Consider the control system shown in Figure Q3.
Controller
E(s)
R(s)
Desired
output
C(s)
Plant
G(s)
Y(s)
Actual
output
3(s + 3)
C(s) = k
G(s) =
= s(s - 1)(s + 10)
Figure Q3. Closed-loop system.
(i) Considering definitions in the study of bounded-input bounded-output
stability, is G(s) stable? Classify the poles and zeros of G(s).
(ii) G(s) defined in Figure Q3 is a system completely characterised by
its transfer function. Explain why this is the case.
(iii) Obtain the closed-loop transfer function P(s) = Y(s)/R(s) of the
system.
(iv) Based on your result for the previous question [Question 3b)-(iii)], use
the Routh-Hurwitz stability criterion to determine suitable values of
gain K…
Please, I want the solution in two ways:
Method 1 (without the Smith chart):
Method 2 (using the Smith chart):
A short circuit stub of length 0.04λ is used to match a 50 Ω lossless line to a load ZL = RL + j30 Ω. Use Smith chart to find:(a) The distance between the stub and the load.(b) The value of RL .
THE FIRST PAGE OF THIS QUESTION SECTION BELOW IS THE FIRST IMAGE UPLOADED, WHICH SHOWS A digital synchronous sequential circuit and then comes the questions below:1B) Suppose the flip-flops are 74F74 devices and the AND gates are 74F08 devices. Let maxtpd,D=9ns, maxtsu,D=3ns, and maxtpd,AND=6ns. What is the maximum clock frequency at which the circuit can operate reliably?
2) Compare serial transmission and parallel transmission and discuss their advantages and disadvantages.
3) Explain briefly how the slave can protect itself from being overwhelmed by the master in I2
4) A hypothetical logic family has the following specifications.
VOH=4.6V VIH=4.0V
VOL=0.5V VIL=1.0V
IOH=-1mA IIH=50μA
IOL=8mA IIL=-0.6mA
(4a) What are the noise margins?
(4b) What is the fan-out capability?…
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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- THE FIRST PAGE OF THIS QUESTION SECTION BELOW IS THE FIRST IMAGE UPLOADED, WHICH SHOWS A digital synchronous sequential circuit and then comes the questions below:1B) Suppose the flip-flops are 74F74 devices and the AND gates are 74F08 devices. Let maxtpd,D=9ns, maxtsu,D=3ns, and maxtpd,AND=6ns. What is the maximum clock frequency at which the circuit can operate reliably? 2) Compare serial transmission and parallel transmission and discuss their advantages and disadvantages. 3) Explain briefly how the slave can protect itself from being overwhelmed by the master in I2 4) A hypothetical logic family has the following specifications. VOH=4.6V VIH=4.0V VOL=0.5V VIL=1.0V IOH=-1mA IIH=50μA IOL=8mA IIL=-0.6mA (4a) What are the noise margins? (4b) What is the fan-out capability?…arrow_forwardI need help on this question a) Find y(t) =yh(t) +yp(t) in time domainIs the system over-damped, under-damped, or critical?arrow_forwardGiven f(t)=a sin(ßt) a = 10 & ß = 23 Find the Laplace Transform using the definition F(s) = ∫f(t)e-stdtarrow_forward
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