Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 4, Problem 4.22P
A Line charge of infinite length lies along the z axis and carries a uniform linear charge density of pe C/m. A perfectly conducting cylindrical shell, whose axis is the z axis, surrounds the line charge. The cylinder (of radius b) is at ground potential. Under these conditions, the potential function inside the cylinder (p < b) is given by
where k is a constant. (a) Find k in terms of given or known parameters. (b) Find the electric field strength, E, for p < b. (c) Find the electric field strength, E, for p > b. (d) Find the stored energy in the electric field per unit length in the z direction within the volume defined by p > a, where a < b.
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A. A dc chopper with a free-wheeling diode feeds a dc motor with an armature inductance of
15 mH and resistance of 12. The dc source voltage is 200 V. The ON time and OFF time
are 2 ms and 0.5 ms respectively. Determine the armature current when the back Emf of
the motor is 155 V. Also draw the power circuitry.
An inductive load is controlled by an impulse commutation chopper in Fig.1 and peak load
current IL-450A at a supply voltage of 220V. The chopping frequency f=275 Hz,
commutation capacitor C=60μF and reversing inductance Lm=20μH.The source inductance
Ls 8μH, determine:
td tc
tr=tc+td
a) peak Capacitor discharge Current. b) Circuit turn off time. c) Commutation time. d) The
maximum instantaneous capacitor voltage.
Vects = Vs+ IL LS sin ust
Ls
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C
T₁
IL
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fig1
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An inductive load is controlled by an impulse commutation chopper in Fig.1 and peak load
current IL-450A at a supply voltage of 220V. The chopping frequency f=275 Hz,
commutation capacitor C=60μF and reversing inductance Lm=20μH.The source inductance
Ls=8μH, determine :
td tc
tr=tc+td
a) peak Capacitor discharge Current. b) Circuit turn off time. c) Commutation time. d) The
maximum instantaneous capacitor voltage.
Vects = Vs+ ILLS
Ls
000002
a
C
ic
T₁
iTI
IL
T₂
FWD
LOAD
Vo
oooooL
L
D₁
fig1
I
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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