Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 2, Problem 2.15P
A spherical volume having a 2-/μm radius contains a uniform volume charge density of 105 C/m3. (a) what total charge is enclosed in the spherical volume? (b) Now assume that a large region contains one of these title spheres at every corner of a cubical grid 3 mm on a side and that there is no charge between the sphere. What is the average volume charge density through out this large region?
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Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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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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