Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Question
Chapter 3, Problem 3.29P
To determine
(a)
The volume integral side of the divergence theorem for the defined volume.
To determine
(b)
The surface integral side for the corresponding closed surface.
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Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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- Pls show neat and whole solutionarrow_forwardA. 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.arrow_forwardAn 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 000002 a C T₁ IL T₂ FWD ic oooooL L D₁ fig1 LOAD Vo Iarrow_forward
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